While we talked extensively about binary addition, we didn't cover binary multiplication. Consider multiplying (5)10 by (2)10 in each of the following binary representations, using standard elementary school multiplication. Note that the "second step" is simply binary addition. For each representation, state the calculated answer, whether it is correct, and if not what the problem is. You do not need to show your work. (a) [3 points] Using 3-bit unsigned numbers Solution: (b) [3 points] Using 4-bit two's complement Solution: (c) [3 points] Using 8-bit two's complement Solution: (d) [2 points] Is there a value of x>2 such that multiplying two positive x-bit two's complement numbers will always give a correct answer? If so, give such a value of x and justify your answer. If not, explain why not. Solution