Question

Problem 2 (18 points): a) Compute the sum of the following pair orbit unsigned integers and indicate if the sum produces overflow (3 points) 010111 + 101101 b) Compute the sum of the following pair of 6-bit signed integers and indicate if the sum produces overflow (3 points) 011011 +001101 c) Do the following subtraction and show the operands and the answers in decimal. Indicate if there is overflow (12 points) 1) the numbers are unsigned (6 points) 2) the numbers are signed (6 points) 110010 -110101

Answer 1

Given that (a) Compute the sum of the following pair of 6-bit unsigned integers and indicate if the sum produces overflow therefore the sum of binary integers 010111 + 101101 = 111100 the answer is stored in 6 bit location therefore no overflow is produced. (b) the sum of the following pair of 6-bit signed integer and indicate it the sum produce overflow 011011 + 001101 rightdoublearrow 011000 rightarrow over flow does not occur [011000]_2 = 2^5 + 2^4 + 2^3 + 2^2 + 2^1 + 2^0 = 0 + 2^4 + 2^3 + 0 + 0 + 0 + 0 = 16 + 8 + 0 + 0 + 0 [011000]_2 = [24]_10