*** Computer Architecture Homework : (must show your work) ****

5 Subtract 56 from 119 by using 8-bit signed magnitude, one's complement, two's complement arithmetic, respectively. (12 pts) 6 Add 56 to - 119 by using 8-bit signed magnitude, one's complement, two's complement arithmetic, respectively. (12 pts) 7 Add 56 to 119 by using 8-bit signed magnitude, one's complement, two's complement arithmetic, respectively. (12 pts) 8 Perform the following multiplications by using Booth's algorithm, assuming 8-bit two's complement integers: ( 12 pts) 1) 1724 2) 1724 3) 58117 4) 58x117 9 Multiply the value -24 (expressed by 8-bit signed two's complement representation) by 2 . (2 pts) 10 Divide the value 24 (expressed by 8-bit signed two's complement representation) by 4 . ( 2 pts) 11 Express the following binary fractions in normalized floating-point form using the simple model with excess-15 bias: (6 pts) 1) 1.25 2) 0.75 3) 26.625 12 Add the following numbers using the simple model with a bias of 15 . (4 pts) 1) 1.25+0.75 2) 0.75+26.625 13 Multiply the following numbers using the simple model with a bias of 15 . (4 pts) 1) 1.250.75 2) 26.6250.75