Computer Organization and Architecture

Question 1: Express the following decimal numbers in IEEE 32-bit floating point format. a. -5 b.-1.5 c. 384 1 d. 16 1 e. 32 Question 2: One of the most serious errors in computer calculations occurs when two nearly equal numbers are subtracted Consider A = 0.22588 and B = 0.22552. The computer truncates all values to four decimal digits. Thus, A' = 0.2258 and B = 0.2255. a. What are the relative errors for A and B, respectively? b. What is the relative error for C' = A'-B'? Show your working Question 3: Given m = 0110 and n = 1100 in two's complement notation (ie., m = 6 and n = - 4). Show your working on computation of the product p= mx n using Booths algorithm. Also, verify your