ee357_hw9_sol

ee357_hw9_sol - EE 357 Homework 9 Spring 07 Redekopp Name:...

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EE 357 Homework 9 Spring ’07 Redekopp Name: ___________________Solutions _______________ Lecture 9:30 / 11:00 Note: Attach all work to receive full credit 1. Perform the following unsigned multiplication using the Add & Shift method. Show each add and shift step in a table similar to the style used in class. a. M=1101 * Q=0110 M = 1101 C A Q Operation 0 0000 0110 Start 0 0000 0110 Add 0 0 0000 0011 Shift 0 1101 0011 Add M 0 0110 1001 Shift 1 0011 1001 Add M 0 1001 1100 Shift 0 1001 1100 Add 0 0 0100 1110 Shift 2. Perform the following multiplications using Booth’s algorithm. Assume all numbers are signed 2’s complement numbers. a. M=00101 * Q=10110 5 * -10 = -50 0 0 1 0 1 * 1 0 1 1 0 (BOOTH) 0 0 1 0 1 * -1 1 0-1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 + 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0

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b. M=11101 * Q=01101 -3 * 13 = -39 1 1 1 0 1 * 0 1 1 0 1 (BOOTH) 1 1 1 0 1 * 1 0-1 1-1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 + 1 1 1 1 0 1 1 1 1 1 0 1 1 0 0 1 3. Perform the following multiplications using Booth’s algorithm and Bit-Pair Recoding. Assume all numbers are signed 2’s complement numbers. a.
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This note was uploaded on 11/26/2008 for the course EE 357 taught by Professor Mayeda during the Spring '08 term at USC.

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ee357_hw9_sol - EE 357 Homework 9 Spring 07 Redekopp Name:...

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