1. The problem statement, all variables and given/known data write the 6-bit 2's complement representation of -32 2. Relevant equations 3. The attempt at a solution the only way to represent the magnitude 32 in binary is by using 6 bits, so it would be 100000. This is a little bit confusing to me hence in 2's complement we always use the most significant bit to indicate negativeness or positiveness. If 100000 is in 2's complement then it should be a negative number and it is if we just apply the math on it. I think that one more bit will be needed but the book says otherwise. 32 in 2's complement in 6 bits is 100000 and -32 in 2's complement 6 bits is 100000.