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Merge b57a40aad9 into 08d977b8cd
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1
components.d.ts
vendored
1
components.d.ts
vendored
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@ -79,6 +79,7 @@ declare module '@vue/runtime-core' {
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Encryption: typeof import('./src/tools/encryption/encryption.vue')['default']
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EtaCalculator: typeof import('./src/tools/eta-calculator/eta-calculator.vue')['default']
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FavoriteButton: typeof import('./src/components/FavoriteButton.vue')['default']
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FloatingPointNumberConverter: typeof import('./src/tools/floating-point-number-converter/floating-point-number-converter.vue')['default']
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FormatTransformer: typeof import('./src/components/FormatTransformer.vue')['default']
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GitMemo: typeof import('./src/tools/git-memo/git-memo.vue')['default']
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'GitMemo.content': typeof import('./src/tools/git-memo/git-memo.content.md')['default']
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@ -400,6 +400,10 @@ tools:
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description: >-
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Konvertiere Zahlen zwischen verschiedenen Basen (Dezimal, Hexadezimal,
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Binär, Oktal, Base64, ...).
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floating-point-converter:
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title: Konverter für Fließkommazahlen
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description: >-
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Konvertiere eine Dezimalzahl in eine IEEE-754 binäre Fließkommazahl oder umgekehrt.
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yaml-to-json-converter:
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title: YAML zu JSON
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description: Konvertiere YAML einfach in JSON mit diesem Live-Online-Konverter.
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@ -345,6 +345,10 @@ tools:
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title: Integer base converter
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description: Convert a number between different bases (decimal, hexadecimal, binary, octal, base64, ...)
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floating-point-converter:
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title: Floating point number converter
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description: Convert a decimal number to a IEEE 754 binary floating point number or vice versa.
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yaml-to-json-converter:
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title: YAML to JSON converter
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description: Simply convert YAML to JSON with this online live converter.
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@ -0,0 +1,73 @@
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import { describe, expect, it } from 'vitest';
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import { convertBinaryToDecimal, convertDecimalToBinary } from './floating-point-number-converter.model';
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describe('floating-point-number-converter', () => {
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describe('convertDecimalToBinary', () => {
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it('Should convert a decimal number to a floating point binary number (IEEE-754)', () => {
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// 32-Bit
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expect(convertDecimalToBinary({ value: '0', bitCount: 32 })).toEqual('00000000000000000000000000000000');
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expect(convertDecimalToBinary({ value: '-0', bitCount: 32 })).toEqual('10000000000000000000000000000000');
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expect(convertDecimalToBinary({ value: 'NaN', bitCount: 32 })).toEqual('01111111110000000000000000000000');
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expect(convertDecimalToBinary({ value: 'Infinity', bitCount: 32 })).toEqual('01111111100000000000000000000000');
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expect(convertDecimalToBinary({ value: '-Infinity', bitCount: 32 })).toEqual('11111111100000000000000000000000');
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expect(convertDecimalToBinary({ value: '2.5', bitCount: 32 })).toEqual('01000000001000000000000000000000');
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expect(convertDecimalToBinary({ value: '-128.25', bitCount: 32 })).toEqual('11000011000000000100000000000000');
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expect(convertDecimalToBinary({ value: '0.1', bitCount: 32 })).toEqual('00111101110011001100110011001101');
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expect(convertDecimalToBinary({ value: '3.4028235e38', bitCount: 32 })).toEqual('01111111011111111111111111111111');
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expect(convertDecimalToBinary({ value: '1.1754942e-38', bitCount: 32 })).toEqual('00000000011111111111111111111111');
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// 64-Bit
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expect(convertDecimalToBinary({ value: '0', bitCount: 64 })).toEqual('0000000000000000000000000000000000000000000000000000000000000000');
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expect(convertDecimalToBinary({ value: '-0', bitCount: 64 })).toEqual('1000000000000000000000000000000000000000000000000000000000000000');
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expect(convertDecimalToBinary({ value: 'NaN', bitCount: 64 })).toEqual('0111111111111000000000000000000000000000000000000000000000000000');
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expect(convertDecimalToBinary({ value: 'Infinity', bitCount: 64 })).toEqual('0111111111110000000000000000000000000000000000000000000000000000');
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expect(convertDecimalToBinary({ value: '-Infinity', bitCount: 64 })).toEqual('1111111111110000000000000000000000000000000000000000000000000000');
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expect(convertDecimalToBinary({ value: '2.5', bitCount: 64 })).toEqual('0100000000000100000000000000000000000000000000000000000000000000');
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expect(convertDecimalToBinary({ value: '-128.25', bitCount: 64 })).toEqual('1100000001100000000010000000000000000000000000000000000000000000');
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expect(convertDecimalToBinary({ value: '0.1', bitCount: 64 })).toEqual('0011111110111001100110011001100110011001100110011001100110011010');
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expect(convertDecimalToBinary({ value: '1.7976931348623157e308', bitCount: 64 })).toEqual('0111111111101111111111111111111111111111111111111111111111111111');
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expect(convertDecimalToBinary({ value: '2.225073858507201e-308', bitCount: 64 })).toEqual('0000000000001111111111111111111111111111111111111111111111111111');
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});
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});
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describe('convertBinaryToDecimal', () => {
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it('Should convert a floating point binary number (IEEE-754) to a decimal number', () => {
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// 32-Bit
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expect(convertBinaryToDecimal({ value: '00000000000000000000000000000000', decimalPrecision: '32', removeZeroPadding: false })).toEqual('0.00000000000000000000000000000000');
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expect(convertBinaryToDecimal({ value: '10000000000000000000000000000000', decimalPrecision: '32', removeZeroPadding: false })).toEqual('-0.00000000000000000000000000000000');
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expect(convertBinaryToDecimal({ value: '01111111110000000000000000000000', decimalPrecision: '32', removeZeroPadding: false })).toEqual('NaN');
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expect(convertBinaryToDecimal({ value: '11111111110000000000000000000000', decimalPrecision: '32', removeZeroPadding: false })).toEqual('NaN');
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expect(convertBinaryToDecimal({ value: '01111111110000000000000000000001', decimalPrecision: '32', removeZeroPadding: false })).toEqual('NaN');
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expect(convertBinaryToDecimal({ value: '01111111100000000000000000000000', decimalPrecision: '32', removeZeroPadding: false })).toEqual('Infinity');
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expect(convertBinaryToDecimal({ value: '11111111100000000000000000000000', decimalPrecision: '32', removeZeroPadding: false })).toEqual('-Infinity');
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expect(convertBinaryToDecimal({ value: '01000000001000000000000000000000', decimalPrecision: '32', removeZeroPadding: false })).toEqual('2.50000000000000000000000000000000');
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expect(convertBinaryToDecimal({ value: '01000000001000000000000000000000', decimalPrecision: '32', removeZeroPadding: true })).toEqual('2.5');
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expect(convertBinaryToDecimal({ value: '11000011000000000100000000000000', decimalPrecision: '32', removeZeroPadding: false })).toEqual('-128.25000000000000000000000000000000');
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expect(convertBinaryToDecimal({ value: '00111101110011001100110011001101', decimalPrecision: '32', removeZeroPadding: false })).toEqual('0.10000000149011611938476562500000');
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expect(convertBinaryToDecimal({ value: '00111101110011001100110011001101', decimalPrecision: '10', removeZeroPadding: false })).toEqual('0.1000000015');
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expect(convertBinaryToDecimal({ value: '00111101110011001100110011001101', decimalPrecision: '1', removeZeroPadding: false })).toEqual('0.1');
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expect(convertBinaryToDecimal({ value: '01111111011111111111111111111111', decimalPrecision: '32', removeZeroPadding: false })).matches(/^3\.402823\d*e\+?38$/);
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expect(convertBinaryToDecimal({ value: '00000000011111111111111111111111', decimalPrecision: '32', removeZeroPadding: false })).toEqual('0.00000000000000000000000000000000');
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expect(convertBinaryToDecimal({ value: '00000000011111111111111111111111', decimalPrecision: '64', removeZeroPadding: false })).toEqual('0.0000000000000000000000000000000000000117549421069244107548702944');
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expect(convertBinaryToDecimal({ value: '00000000011111111111111111111111', decimalPrecision: '', removeZeroPadding: false })).matches(/^1\.1754942\d*e-38$/);
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// 64-Bit
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expect(convertBinaryToDecimal({ value: '0000000000000000000000000000000000000000000000000000000000000000', decimalPrecision: '32', removeZeroPadding: false })).toEqual('0.00000000000000000000000000000000');
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expect(convertBinaryToDecimal({ value: '1000000000000000000000000000000000000000000000000000000000000000', decimalPrecision: '32', removeZeroPadding: false })).toEqual('-0.00000000000000000000000000000000');
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expect(convertBinaryToDecimal({ value: '0111111111111000000000000000000000000000000000000000000000000000', decimalPrecision: '32', removeZeroPadding: false })).toEqual('NaN');
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expect(convertBinaryToDecimal({ value: '1111111111111000000000000000000000000000000000000000000000000000', decimalPrecision: '32', removeZeroPadding: false })).toEqual('NaN');
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expect(convertBinaryToDecimal({ value: '0111111111111000000000000000000000000000000000000000000000000001', decimalPrecision: '32', removeZeroPadding: false })).toEqual('NaN');
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expect(convertBinaryToDecimal({ value: '0111111111110000000000000000000000000000000000000000000000000000', decimalPrecision: '32', removeZeroPadding: false })).toEqual('Infinity');
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expect(convertBinaryToDecimal({ value: '1111111111110000000000000000000000000000000000000000000000000000', decimalPrecision: '32', removeZeroPadding: false })).toEqual('-Infinity');
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expect(convertBinaryToDecimal({ value: '0100000000000100000000000000000000000000000000000000000000000000', decimalPrecision: '32', removeZeroPadding: false })).toEqual('2.50000000000000000000000000000000');
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expect(convertBinaryToDecimal({ value: '0100000000000100000000000000000000000000000000000000000000000000', decimalPrecision: '32', removeZeroPadding: true })).toEqual('2.5');
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expect(convertBinaryToDecimal({ value: '1100000001100000000010000000000000000000000000000000000000000000', decimalPrecision: '32', removeZeroPadding: false })).toEqual('-128.25000000000000000000000000000000');
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expect(convertBinaryToDecimal({ value: '0011111110111001100110011001100110011001100110011001100110011010', decimalPrecision: '32', removeZeroPadding: false })).toEqual('0.10000000000000000555111512312578');
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expect(convertBinaryToDecimal({ value: '0011111110111001100110011001100110011001100110011001100110011010', decimalPrecision: '10', removeZeroPadding: false })).toEqual('0.1000000000');
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expect(convertBinaryToDecimal({ value: '0011111110111001100110011001100110011001100110011001100110011010', decimalPrecision: '1', removeZeroPadding: false })).toEqual('0.1');
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expect(convertBinaryToDecimal({ value: '0111111111101111111111111111111111111111111111111111111111111111', decimalPrecision: '32', removeZeroPadding: false })).matches(/^1\.79769313\d*e\+?308$/);
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expect(convertBinaryToDecimal({ value: '0000000000001111111111111111111111111111111111111111111111111111', decimalPrecision: '32', removeZeroPadding: false })).toEqual('0.00000000000000000000000000000000');
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expect(convertBinaryToDecimal({ value: '0000000000001111111111111111111111111111111111111111111111111111', decimalPrecision: '100', removeZeroPadding: false })).toEqual('0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000');
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expect(convertBinaryToDecimal({ value: '0000000000001111111111111111111111111111111111111111111111111111', decimalPrecision: '', removeZeroPadding: false })).matches(/^2\.2250738585\d*e-308$/);
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});
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});
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});
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@ -0,0 +1,57 @@
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export function convertDecimalToBinary({ value, bitCount }: { value: string; bitCount: number }) {
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let number = Number.parseFloat(value.replace(/\s/g, ''));
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if (value.match(/^-?inf(inity)?$/i)) {
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// const sign = value.startsWith('-') ? 1 : 0;
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// return `${sign}${'1'.repeat(exponentBits)}${'0'.repeat(mantissaBits)}`;
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number = (value.startsWith('-') ? -2 : 2) / 0;
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}
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switch (bitCount) {
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case 32: { // Single precision
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const uint = new Uint32Array(Float32Array.of(number).buffer);
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return uint[0].toString(2).padStart(32, '0');
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}
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case 64: { // Double precision
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const uint = new Uint32Array(Float64Array.of(number).buffer);
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return [...uint].slice(0, 2).reverse().map(p => p.toString(2).padStart(32, '0')).join('');
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}
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default:
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throw new Error('Unsupported bit count. Only 32 and 64 are allowed.');
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}
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}
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export function convertBinaryToDecimal({ value, decimalPrecision, removeZeroPadding }: { value: string; decimalPrecision: string; removeZeroPadding: boolean }) {
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if (value.match(/[^01]/)) {
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throw new Error('Not a binary number.');
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}
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if (decimalPrecision.match(/[^\d]/)) {
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throw new Error('Decimal Precision must be a positive whole number.');
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}
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let result: number;
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switch (value.length) {
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case 32: {
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const binary = [Number.parseInt(value, 2)];
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result = (new Float32Array(Uint32Array.from(binary).buffer))[0];
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break;
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}
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case 64: {
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const binary = [Number.parseInt(value.substring(32), 2), Number.parseInt(value.substring(0, 32), 2)];
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result = (new Float64Array(Uint32Array.from(binary).buffer))[0];
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break;
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}
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default:
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throw new Error('Invalid length. Supply a binary string with length 32 or 64.');
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}
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const zeroNegative = result === 0 && 2 / result === Number.NEGATIVE_INFINITY;
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let resultString = decimalPrecision.length === 0 ? result.toString() : result.toFixed(Number.parseInt(decimalPrecision));
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if (removeZeroPadding) {
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resultString = resultString.replace(/\.(\d+?)(0+)$/, '.$1');
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}
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return (zeroNegative ? '-' : '') + resultString;
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}
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export function calcErrorDueToConversion({ decimalInput, actualValue }: { decimalInput: string; actualValue: string }) {
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return (Number.parseFloat(decimalInput) - Number.parseFloat(actualValue)).toFixed(32).replace(/\.(\d+?)(0+)$/, '.$1');
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}
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@ -0,0 +1,159 @@
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<script setup lang="ts">
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import InputCopyable from '../../components/InputCopyable.vue';
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import { convertBase } from '../integer-base-converter/integer-base-converter.model';
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import { calcErrorDueToConversion, convertBinaryToDecimal, convertDecimalToBinary } from './floating-point-number-converter.model';
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import { getErrorMessageIfThrows } from '@/utils/error';
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const bitCount = ref(32);
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const decimalInput = ref('42.42');
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const binaryOutput = ref();
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const actualValue = ref();
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const binaryInput = ref('01000010001010011010111000010100');
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const decimalPrecision = ref('32');
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const showTrailingZeros = ref(false);
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function errorlessBinaryToDecimalConversion(...args: Parameters<typeof convertBinaryToDecimal>) {
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try {
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return convertBinaryToDecimal(...args);
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}
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catch (err) {
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return '';
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}
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}
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const binaryToDecimalError = computed(() =>
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getErrorMessageIfThrows(() =>
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convertBinaryToDecimal({ value: binaryInput.value, decimalPrecision: decimalPrecision.value, removeZeroPadding: false }),
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),
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);
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</script>
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<template>
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<c-card title="Decimal to Binary" style="min-width: 650px">
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<c-input-text
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v-model:value="decimalInput"
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label="Decimal Number"
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placeholder="Put your decimal number here (ex: 42.42)"
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label-position="left"
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label-width="210px"
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label-align="right"
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mb-2
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/>
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<c-select
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v-model:value="bitCount"
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mb-4
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label="Bit Count"
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label-position="left"
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label-width="210px"
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label-align="right"
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:options="[
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{
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label: '32-Bit (Single precision)',
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value: 32,
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},
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{
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label: '64-Bit (Double precision)',
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value: 64,
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},
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]"
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/>
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<n-divider />
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<InputCopyable
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label="Binary Number"
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placeholder="Binary Number"
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:value="binaryOutput = convertDecimalToBinary({ value: decimalInput, bitCount })"
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readonly
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label-position="left"
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label-width="210px"
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label-align="right"
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mb-2
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/>
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<InputCopyable
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label="Hexadecimal Representation"
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placeholder="Hexadecimal Representation"
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:value="convertBase({ value: binaryOutput, fromBase: 2, toBase: 16 })"
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readonly
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label-position="left"
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label-width="210px"
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label-align="right"
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mb-2
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/>
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<InputCopyable
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label="Actually stored value"
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placeholder="Actually stored value"
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:value="actualValue = errorlessBinaryToDecimalConversion({ value: binaryOutput, decimalPrecision: '32', removeZeroPadding: true })"
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readonly
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label-position="left"
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label-width="210px"
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label-align="right"
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mb-2
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/>
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<InputCopyable
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label="Error due to conversion"
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placeholder="Error due to conversion"
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:value="calcErrorDueToConversion({ decimalInput, actualValue })"
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readonly
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label-position="left"
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label-width="210px"
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label-align="right"
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mb-2
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/>
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</c-card>
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<c-card title="Binary to Decimal" style="min-width: 650px">
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<c-input-text
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v-model:value="binaryInput"
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label="Binary Number"
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placeholder="Put your binary number here (ex: 01000010001010011010111000010100)"
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label-position="left"
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label-width="140px"
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label-align="right"
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mb-2
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/>
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<c-input-text
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v-model:value="decimalPrecision"
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label="Decimal Precision"
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placeholder="Choose the decimal precision (digits after the decimal point)."
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label-position="left"
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label-width="140px"
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label-align="right"
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mb-2
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/>
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<n-form-item
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label="Show Trailing Zeros"
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label-placement="left"
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label-width="140px"
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label-align="right"
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>
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<n-switch
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v-model:value="showTrailingZeros"
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/>
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</n-form-item>
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<n-alert v-if="binaryToDecimalError" style="margin-top: 25px" type="error">
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{{ binaryToDecimalError }}
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</n-alert>
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<n-divider />
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<InputCopyable
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label="Decimal Number"
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placeholder="Decimal Number"
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:value="errorlessBinaryToDecimalConversion({ value: binaryInput, decimalPrecision, removeZeroPadding: !showTrailingZeros })"
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readonly
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label-position="left"
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label-width="140px"
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label-align="right"
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mb-2
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/>
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</c-card>
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</template>
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13
src/tools/floating-point-number-converter/index.ts
Normal file
13
src/tools/floating-point-number-converter/index.ts
Normal file
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@ -0,0 +1,13 @@
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import { ArrowsLeftRight } from '@vicons/tabler';
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import { defineTool } from '../tool';
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import { translate } from '@/plugins/i18n.plugin';
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export const tool = defineTool({
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name: translate('tools.floating-point-converter.title'),
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path: '/floating-point-converter',
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description: translate('tools.floating-point-converter.description'),
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keywords: ['converter', 'floating', 'point', 'number', 'converter', 'binary', 'decimal'],
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component: () => import('./floating-point-number-converter.vue'),
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icon: ArrowsLeftRight,
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createdAt: new Date('2024-10-12'),
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});
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@ -1,6 +1,7 @@
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import { tool as base64FileConverter } from './base64-file-converter';
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import { tool as base64StringConverter } from './base64-string-converter';
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import { tool as basicAuthGenerator } from './basic-auth-generator';
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import { tool as floatingPointNumberConverter } from './floating-point-number-converter';
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import { tool as emailNormalizer } from './email-normalizer';
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import { tool as asciiTextDrawer } from './ascii-text-drawer';
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@ -98,6 +99,7 @@ export const toolsByCategory: ToolCategory[] = [
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components: [
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dateTimeConverter,
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baseConverter,
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floatingPointNumberConverter,
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romanNumeralConverter,
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base64StringConverter,
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base64FileConverter,
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