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Add Binary

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

For example,
a = "11"
b = "1"
Return "100".

 

类似模拟十进制加法

 1 class Solution { 2 public: 3     string addBinary(string a, string b) { 4         if( a.empty() ) return b; 5         if( b.empty() ) return a; 6         string ans; 7         reverse(a.begin(), a.end());    //反转后,从低位开始相加 8         reverse(b.begin(), b.end()); 9         int i=0;10         int carry = 0;11         while( i<a.length() && i<b.length() ) { //处理他们共同都有的部分12             int sum = a[i] - 0 + b[i] - 0 + carry;13             if( sum == 3 ) {14                 ans.push_back(1);15                 carry = 1;16             } else if( sum == 2 ) {17                 ans.push_back(0);18                 carry = 1;19             } else if( sum == 1 ) {20                 ans.push_back(1);21                 carry = 0;22             } else if( sum == 0 ) {23                 ans.push_back(0);24                 carry = 0;25             }26             ++i;27         }28         string& c = a.length() > b.length() ? a : b;29         while( i<c.length() ) { //处理一方多余的部分,及进位30             int sum = c[i] - 0 + carry;31             if( sum == 2 ) {32                 ans.push_back(0);33                 carry = 1;34             } else if( sum == 1 ) {35                 ans.push_back(1);36                 carry = 0;37             } else if( sum == 0 ) {38                 ans.push_back(0);39                 carry = 0;40             }41             ++i;42         }43         if( carry ) ans.push_back(1); //最后若有进位44         reverse(ans.begin(), ans.end());45         return ans;46     }47 };

 

Add Binary