Let A = ajao and B = b¡bo be two-bit binarynumbers. A and B can take on values from 0 to 3(for example, A = 2 when a1ao = 10. Let C bea two bit binary number whose value equals themagnitude of the difference A – B. We haveC = c1c0 = |A – B|. (This means that if B islarger than A then you consider B-A.) You are todesign a circuit which accepts A and B (i.e.,a¡ aob¡bo) as inputs and outputs the resultC = c¡c0. The circuit thus has four inputs andtwo outputs. For example, the circuit shouldoutput c1co = 10 when ajao = 01 andbibo = 11 (C = 2 when A = 1 and B = 3).-Your pre-lab needs to include all items requestedin the following steps (plus those requested in thepre-lab handout):1. After reading through the complete lab,write a description of the expected behaviorof the system you will design.2. Draw a truth table describing the behaviorof the circuit. The truth table should showthe inputs: aj aobibo (in this order) and theoutputs: c1Co ·3. Write the canonical SOP or POS expressionfor the function c1. Calculate the cost forthe function. Explain your choice of SOP orPOS.

1) The question has stated that, A=a1a0B=b1bo A and B are two binary numbers. A and B values can be…

Answered: Let A = ajao and B = b1bo be two-bit…

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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Step 1

The question has stated that,

$A = a_{1} a_{0} B = b_{1} b_{o}$

e.g.

If A=2 then a₁a_o=10.

A-B=C

i.e., The value of C is equal to the magnitude of difference A-B.

e.g.,

$C = 2, A = 1, B = 3 C = |A - B| C = |1 - 3| C = 2$

condition satisfied.

In the circuit,

$A a n d B \to i n p u t a_{1} a_{o} b_{1} b_{o} \to i n p u t C \to o u t p u t c_{1} c_{o} \to o u t p u t$

Thus, the circuit has four inputs and two outputs as shown above.

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