a circuit that has two 2-bit unsigned integers X=x1x0 and Y=y1y0 as input. The circuit provides two output functions. The first function, a single bit, is called CLOSE. CLOSE is to be one if |X - Y ≤1, and 0 otherwise. The second function is the 2-bit difference D=d1d0 that equals X - Y if X>Y, and 00 if X
a circuit that has two 2-bit unsigned integers X=x1x0 and Y=y1y0 as input. The circuit provides two output functions. The first function, a single bit, is called CLOSE. CLOSE is to be one if |X - Y ≤1, and 0 otherwise. The second function is the 2-bit difference D=d1d0 that equals X - Y if X>Y, and 00 if X
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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Question
![a circuit that has two 2-bit unsigned integers X=x1x0 and Y=y1y0 as input. The circuit provides two
output functions. The first function, a single bit, is called CLOSE. CLOSE is to be one if |X - Y ≤1,
and 0 otherwise. The second function is the 2-bit difference D=d1d0 that equals X - Y if X>Y, and 00
if X<Y.
An example could be...
If x = x1x0 = 10 and Y= y1y0 = 11, then X = 2 and Y = 3. Therefore CLOSE = 1, because | X - Y| = | 2-3
=-1 |=1. The difference D = 00 because X
Now, let's apply our logical thinking to this circuit design. Start by creating a truth table with four
input and three output variables. Then, construct a K-map of the Three Output Variables with
Boolean Expression for each output. This systematic approach will guide us towards an effective
circuit design.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F480e4b5b-e4d5-4f66-bba5-4dcd71120fdf%2F7bb02f6c-d1a3-4f7a-8047-f22142d09981%2F9owytnj_processed.png&w=3840&q=75)
Transcribed Image Text:a circuit that has two 2-bit unsigned integers X=x1x0 and Y=y1y0 as input. The circuit provides two
output functions. The first function, a single bit, is called CLOSE. CLOSE is to be one if |X - Y ≤1,
and 0 otherwise. The second function is the 2-bit difference D=d1d0 that equals X - Y if X>Y, and 00
if X<Y.
An example could be...
If x = x1x0 = 10 and Y= y1y0 = 11, then X = 2 and Y = 3. Therefore CLOSE = 1, because | X - Y| = | 2-3
=-1 |=1. The difference D = 00 because X
Now, let's apply our logical thinking to this circuit design. Start by creating a truth table with four
input and three output variables. Then, construct a K-map of the Three Output Variables with
Boolean Expression for each output. This systematic approach will guide us towards an effective
circuit design.
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