For the function F(P,Q,R,S) = E(4,2,9,1,0) and d(P,Q,R,S) = (12,13,14,15), where d(P,Q,R,S)represents don't care condition.a) Construct the truth-table and write down the standard SOP.b) Find the minimal SOP using K-Map.c) Find the minimal POS using K-Map.d) Draw the logic circuit of the minimal SOP using Basic gates.e) Draw the logic circuit of the minimal SOP using only NAND gates

Answered: For the function F(P,Q,R,S) =…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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For the function F(P,Q,R,S) = E(4,2,9,1,0) and d(P,Q,R,S) = (12,13,14,15), where d(P,Q,R,S)
represents don't care condition.
a) Construct the truth-table and write down the standard SOP.
b) Find the minimal SOP using K-Map.
c) Find the minimal POS using K-Map.
d) Draw the logic circuit of the minimal SOP using Basic gates.
e) Draw the logic circuit of the minimal SOP using only NAND gates

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Given function is

$F (P, Q, R, S) = \sum (4, 2, 9, 1, 0)$ .

Don't care conditions are

$d (P, Q, R, S) = (12, 13, 14, 15)$ .

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