67. Add Binary

Description

Given two binary strings, return their sum (also a binary string).

The input strings are both non-empty and contains only characters 1 or 0.

Example 1:

Input: a = "11", b = "1"
Output: "100"

Example 2:

Input: a = "1010", b = "1011"
Output: "10101"

Tags: Math, String

题意

给你两个二进制串,求其和的二进制串。

题解

思路1

按照小学算数那么来做,用 carry 表示进位,从后往前算,依次往前,每算出一位就插入到最前面即可,直到把两个二进制串都遍历完即可。

func addBinary(a, b string) string {
    lenA := len(a)
    lenB := len(b)
    if lenB > lenA {
        a, b = b, a             //swap
        lenA, lenB = lenB, lenA //swap2
    }
    b = strings.Repeat("0", lenA-lenB) + b
    lenB = len(b)

    carry := byte(0)
    ret := make([]byte, lenB+1)

    for i := lenB - 1; i >= 0; i-- {
        numA := a[i] - '0'
        numB := b[i] - '0'
        sum := numA + numB + carry
        ret[i+1] = sum&1 + '0'
        carry = sum >> 1
    }
    if carry == 0 {
        ret = ret[1:]
    } else {
        ret[0] = carry + '0'
    }
    return string(ret)
}

思路2

思路2 ```go

```

结语

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