Q4. Consider number A of X bits stored in sign magnitude as shown in the figure below (most significant bit is the sign, X-1 bits magnitude). X could be any number starting from 2 and up. Design the digital circuit that can inform us (by making F=1) that if the number stored in this location was to be multiplied by 2, it would result in a number that could still be stored in the X-1 bits (i.e., no overflow would result). For example: · if X is 4, and the number is 0100 (+4 in decimal), the result is +8 and we cannot store +8 with X-1=3 bits. Therefore, F=0. · if X is 5, and the number is 1010 (-2 in decimal), the result is -4 and we can store -4 with X-1=4 bits. Therefore, F=1. You can assume that in your design you may use "wires" connected directly to the bit locations. Use the MINIMUM number of gates. Show all your work. X-1 bits Sign in Fequals to 1 if A*2 can still be stored in the X-1 bits ?

Q4. Consider number A of X bits stored in sign magnitude as shown in the figure below (most significant bit is the sign, X-1 bits magnitude). X could be any number starting from 2 and up. Design the digital circuit that can inform us (by making F=1) that if the number stored in this location was to be multiplied by 2, it would result in a number that could still be stored in the X-1 bits (i.e., no overflow would result). For example: · if X is 4, and the number is 0100 (+4 in decimal), the result is +8 and we cannot store +8 with X-1=3 bits. Therefore, F=0. · if X is 5, and the number is 1010 (-2 in decimal), the result is -4 and we can store -4 with X-1=4 bits. Therefore, F=1. You can assume that in your design you may use "wires" connected directly to the bit locations. Use the MINIMUM number of gates. Show all your work. X-1 bits Sign in Fequals to 1 if A*2 can still be stored in the X-1 bits ?

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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