Multiplication of two integers using bitwise operators

SuperMan picture SuperMan · Dec 16, 2010 · Viewed 73.1k times · Source

How can I multipy two integers using bitwise operators?

I found an implementation here. Is there a better way of implementing multiplication?

For example: 2 * 6 = 12 must be performed using bitwise operators.

NOTE: Numbers are arbitrary, not power of 2

Answer

zengr picture zengr · Dec 23, 2010
#include <stdio.h>

int main(void)
{
    int a, b, result;
    printf("Enter the numbers to be multiplied:");
    scanf("%d%d", &a, &b);       // a > b
    result = 0;
    while (b != 0)               // Iterate the loop till b == 0
    {
        if (b & 1)               // Bitwise & of the value of b with 1
        {
            result = result + a;  // Add a to result if b is odd .
        }
        a <<= 1;                    // Left shifting the value contained in 'a' by 1
                                  // Multiplies a by 2 for each loop
        b >>= 1;                    // Right shifting the value contained in 'b' by 1.
    }

    printf("Result: %d\n",result);
}

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