Design Problem You need to use a magnitude comparator for a circuit you are building. You would like to compare two 4-bit signed numbers, X = ABCD and Y = EFGH, whose possible values range from -31o to 310. However, it seems that all magnitude comparators are out of stock. Suppose you decide to recreate the behavior of a magnitude comparator using your 4-bit full adder as a subtractor and some logic gates on hand. Use a 4-bit adder and connect additional logic gates to the input and the 4-bit output Sum (S3S2S1 So) to create the logic circuit for the following outputs: • 01, which should be 1 if X < Y or X = Y,0 otherwise • O2, which should be 1 if X > Y or X = Y,0 otherwise a) Make truth table for the outputs 01 and Ozusing the 4-bit output Sum (S3S2S1So) as inputs b) Derive an equation for O1. c) Derive an equation for O2.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
icon
Related questions
Question

Provide an Explanation!

Design Problem
You need to use a magnitude comparator for a circuit you are building. You would like to compare two 4-bit signed numbers, X = ABCD and Y = EFGH, whose possible values
range from –310 to 310. However, it seems that all magnitude comparators are out of stock. Suppose you decide to recreate the behavior of a magnitude comparator using your 4-bit
full adder as a subtractor and some logic gates on hand.
Use a 4-bit adder and connect additional logic gates to the input and the 4-bit output Sum (S3 S2 S1 So) to create the logic circuit for the following outputs:
• 01, which should be 1 if X <Y or X = Y,0 otherwise
• 02, which should be 1 if X > Y or X = Y,0 otherwise
a) Make truth table for the outputs 01 and Ozusing the 4-bit output
Sum (S3S2S1S0) as inputs
b) Derive an equation for O.
c) Derive an equation for O2.
Transcribed Image Text:Design Problem You need to use a magnitude comparator for a circuit you are building. You would like to compare two 4-bit signed numbers, X = ABCD and Y = EFGH, whose possible values range from –310 to 310. However, it seems that all magnitude comparators are out of stock. Suppose you decide to recreate the behavior of a magnitude comparator using your 4-bit full adder as a subtractor and some logic gates on hand. Use a 4-bit adder and connect additional logic gates to the input and the 4-bit output Sum (S3 S2 S1 So) to create the logic circuit for the following outputs: • 01, which should be 1 if X <Y or X = Y,0 otherwise • 02, which should be 1 if X > Y or X = Y,0 otherwise a) Make truth table for the outputs 01 and Ozusing the 4-bit output Sum (S3S2S1S0) as inputs b) Derive an equation for O. c) Derive an equation for O2.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY