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algorithm: integer to base #1258

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Oct 31, 2022
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40 changes: 40 additions & 0 deletions Maths/IntToBase.js
Original file line number Diff line number Diff line change
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/**
* @function intToBase
* @description Convert a number from decimal system to another (till decimal)
* @param {Number} number Number to be converted
* @param {Number} base Base of new number system
* @returns {String} Converted Number
* @see [HornerMethod](https://en.wikipedia.org/wiki/Horner%27s_method)
* @example
* const num1 = 125 // Needs to be converted to the binary number system
* gornerScheme(num, 2); // ===> 1111101
* @example
* const num2 = 125 // Needs to be converted to the octal number system
* gornerScheme(num, 8); // ===> 175
*/
const intToBase = (number, base) => {
if (typeof number !== 'number' || typeof base !== 'number') {
throw new Error('Input data must be numbers')
}
// Zero in any number system is zero
if (number === 0) {
return '0'
}
let absoluteValue = Math.abs(number)
let convertedNumber = ''
while (absoluteValue > 0) {
// Every iteration last digit is taken away
// and added to the previous one
const lastDigit = absoluteValue % base
convertedNumber = lastDigit + convertedNumber
absoluteValue = Math.trunc(absoluteValue / base)
}
// Result is whether negative or positive,
// depending on the original value
if (number < 0) {
convertedNumber = '-' + convertedNumber
}
return convertedNumber
}

export { intToBase }
25 changes: 25 additions & 0 deletions Maths/test/IntToBase.test.js
Original file line number Diff line number Diff line change
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import { intToBase } from '../intToBase'

describe('Int to Base', () => {
test('Conversion to the binary system', () => {
expect(intToBase(210, 2)).toEqual('11010010')
expect(intToBase(-210, 2)).toEqual('-11010010')
})
test('Conversion to the system with base 5', () => {
expect(intToBase(210, 5)).toEqual('1320')
expect(intToBase(-210, 5)).toEqual('-1320')
})
test('Conversion to the octal system', () => {
expect(intToBase(210, 8)).toEqual('322')
expect(intToBase(-210, 8)).toEqual('-322')
})
test('Output is 0', () => {
expect(intToBase(0, 8)).toEqual('0')
expect(intToBase(0, 8)).toEqual('0')
})
test('Throwing an exception', () => {
expect(() => intToBase('string', 2)).toThrow()
expect(() => intToBase(10, 'base')).toThrow()
expect(() => intToBase(true, false)).toThrow()
})
})
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