Multiplying a variable with a constant without using multiplication operator - GeeksforGeeks



Multiplying a variable with a constant without using multiplication operator - GeeksforGeeks

As we know that every number can be represented as sum(or difference) of powers of 2, therefore what we can do is represent the constant as a sum of powers of 2.

For this purpose we can use the bitwise left shift operator. When a number is bitwise left shifted it is multiplied by 2 for every bit shift.

For example, suppose we want to multiply a variable say "a" by 10 then what we can do is

a = a << 3 + a << 1;  

The expression a << 3 multiplies a by 8 ans expression a<<1 multiplies it by 2.

So basically what we have here is a = a*8 + a*2 = a*10

Similarly for multiplying with 7 what we can do is


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