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【Q666】实现二进制与十进制的互相转化的两个函数

实现二进制与十进制的互相转化的两个函数

Issue 欢迎在 Gtihub Issue 中回答此问题: Issue 684 (opens in a new tab)

Author 回答者: shfshanyue (opens in a new tab)

代码见:实现二进制与十进制的互相转化的两个函数 (opens in a new tab)

function integerToBin(num) {
  // 64
  const result = [];
  while (num / 2) {
    next = num % 2;
    num = Math.floor(num / 2);
    result.unshift(next);
  }
  return result;
}
 
function fractionalToBin(num) {
  const result = [];
  let i = 0;
  while (num !== 0 && i < 54) {
    num = num * 2;
 
    next = num >= 1 ? 1 : 0;
    num = num % 1;
    i++;
    result.push(next);
  }
  return result;
}
 
function decToBinary(num) {
  // 1.5
  const [int, fraction] = String(num)
    .split(/(?=\.)/)
    .map((x, i) => {
      return i === 0 ? integerToBin(x) : fractionalToBin(x);
    });
  return [int, fraction];
}
 
function binToDec(num) {
  const [_int, _fraction] = String(num).split(".");
  const int = _int.split("").reduceRight((acc, x, i) => {
    return acc + x * 2 ** i;
  }, 0);
  const fraction = _fraction
    ? _fraction.split("").reduce((acc, x, i) => {
        return acc + x * 2 ** -(i + 1);
      }, 0)
    : 0;
  return `${int}${fraction ? "." + fraction.toString().slice(2) : ""}`;
}
 
console.log(16, integerToBin(16), Number(16).toString(2));
console.log(18, integerToBin(18), Number(18).toString(2));
console.log(0.5, fractionalToBin(0.5), Number(0.5).toString(2));
console.log(0.1, fractionalToBin(0.1), Number(0.1).toString(2));
console.log(1.1, decToBinary(1.1), Number(1.1).toString(2));
 
console.log(7.875, decToBinary(7.875), Number(7.875).toString(2));
console.log("111.111", binToDec("111.111"), parseInt("111.111", 2));

Author 回答者: heretic-G (opens in a new tab)

// 二进制转十进制
 
function binaryToDecimal(num) {
  let negative = false;
  if (num < 0) {
    num = -num;
    negative = true;
  }
  num += "";
  let point = num.indexOf(".");
  let int;
  let intDecimal = 0;
  let float;
  let floatDecimal = 0;
 
  if (point > -1) {
    int = num.slice(0, point);
    float = `${num.slice(point + 1)}`;
  } else {
    int = num;
  }
  if (int) {
    for (let i = 0; i < int.length; i++) {
      intDecimal += int[int.length - i - 1] * Math.pow(2, i);
    }
  }
 
  if (float) {
    for (let i = 0; i < float.length; i++) {
      floatDecimal += float[i] * Math.pow(2, -(i + 1));
    }
  }
  let result = "";
  if (negative) {
    result += "-";
  }
  result += intDecimal + floatDecimal;
  return +result;
}
// 十进制转二进制
 
function decimalToBinary(num) {
  let negative = false;
  if (num < 0) {
    num = -num;
    negative = true;
  }
  num += "";
  let point = num.indexOf(".");
  let int;
  let intBinary = "";
  let float;
  let floatBinary = "";
 
  if (point > -1) {
    int = num.slice(0, point);
    float = Number(`0${num.slice(point)}`);
  } else {
    int = num;
  }
  if (int) {
    int = +int;
    while (int >= 1) {
      intBinary = (int % 2) + intBinary;
      int = (int / 2) | 0;
    }
  }
 
  if (float) {
    while (float) {
      float *= 2;
      if (float >= 1) {
        floatBinary += 1;
      } else {
        floatBinary += 0;
      }
      float = float % 1;
    }
  }
  let result = "";
  if (negative) {
    result += "-";
  }
  result += `${intBinary || 0}.${floatBinary}`;
  return result;
}

Author 回答者: justorez (opens in a new tab)

function binToDec (num) {
  const [_int, _fraction] = String(num).split('.')
-  const int = _int.split('').reduceRight((acc, x, i) => {
    return acc + x * 2 ** i
  }, 0)
  const fraction = _fraction ? _fraction.split('').reduce((acc, x, i) => {
    return acc + x * 2 ** -(i + 1)
  }, 0) : 0
  return `${int}${fraction ? '.' + fraction.toString().slice(2) : ''}`
}

@shfshanyue 这一行有错误,reducRight 里的 i 是数组元素的当前索引,不是从 0 开始的。例如 13 是 1101,上面方法会计算成 11。

// 修正
const int = _int.split("").reduce((acc, x, i, arr) => {
  return acc + Number(x) * 2 ** (arr.length - 1 - i);
}, 0);