What are the 1's complement and 2's complement of binary numbers?-C++-php.cn

What are the 1's complement and 2's complement of binary numbers?

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Release： 2023-09-11 23:33:02

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What are the 1s complement and 2s complement of binary numbers?

Binary numbers are represented in base 2. It only uses the two digits "0" and "1". Each digit in a binary number is a bit.

Example binary number - 0100010111

1's complement number

The binary number's complement number is by reversing the digits of the binary number, that is, 1 is converted to 0, and 0 is converted is obtained as 1.

Example

1&rsquo;s Complement of 101100 = 010011

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2's complement

The complement of a binary number is the complement of the binary number plus 1, that is, 1's complement of 1.

Example

2&rsquo;s complement of 101101 is 010011.

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Sample code

Code to find one and two's complement -

#include <iostream>
#include<string.h>
using namespace std;
int main() {
   char binary[10] = "01001011";
   cout<<&ldquo;Binary number is &rdquo;<<binary;
   //once complement....
   int length = strlen(binary);
   for(int i=0;i<length;i++) {
      if(binary[i] == &#39;0&#39;) {
         binary[i]= &#39;1&#39;;
      } else
         binary[i] = &#39;0&#39;;
   }
   cout<<&ldquo;One&rsquo;s Complement is &rdquo;<<binary<<endl;
   // cout<<binary[length-1];
   for(int i = length-1; i>=0; i--) {
      // cout<<binary[i];
      if(binary[i] == &#39;0&#39;) {
         binary[i] = &#39;1&#39;;
         //cout<<binary[i];
         break;
      } else {
         binary[i] = &#39;0&#39;;
      }
   }
   cout<<&ldquo;Two&rsquo;s complement is &rdquo;<<binary;
   return 0;
}

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Output

Binary number is 01001011
One&rsquo;s complement is 10110100
Two&rsquo;s complement is 10110101

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