Add two numbers without using arithmetic operators
int Add(int x, int y)
{
// Iterate till there is no carry
while (y != 0)
{
// carry now contains common set bits of x and y
int carry = x & y;
// Sum of bits of x and y where at least one of the bits is not set
x = x ^ y;
// Carry is shifted by one so that adding it to x gives the required sum
y = carry << 1;
}
return x;
}
Subtract two numbers without using arithmetic operators
int subtract(int x, int y)
{
// Iterate till there is no carry
while (y != 0)
{
// borrow contains common set bits of y and unset bits of x
int borrow = (~x) & y;
// Subtraction of bits of x and y where at least
// one of the bits is not set
x = x ^ y;
// Borrow is shifted by one so that subtracting it from
// x gives the required sum
y = borrow << 1;
}
return x;
}