Thanks a lot. Design the combinatorial circuit that that takes the 4-bit number KLMN as input andperforms the following operations to create the 4-bit PRST output.• When the input is between 0-6 then the output is plus.6 of the input• When the input is between 7-8 then the output is a "don't care" condition• When the input is between 9-F then the output is minus 6 of the input(a) Construct a truth table and optimize the output functions P, R, S and T with K-Maps.(b) Draw the circuit diagram of the output function S with only 2-input NAND gates andinverters.(c) Draw the circuit diagram of the output function T with only 2-input NOR gates andinverters.

(a) Draw the truth table for the above-given situations. Inputs Outputs K L M N P…

Answered: Design the combinatorial circuit that…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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Thanks a lot.

Design the combinatorial circuit that that takes the 4-bit number KLMN as input and
performs the following operations to create the 4-bit PRST output.
• When the input is between 0-6 then the output is plus.6 of the input
• When the input is between 7-8 then the output is a "don't care" condition
• When the input is between 9-F then the output is minus 6 of the input
(a) Construct a truth table and optimize the output functions P, R, S and T with K-Maps.
(b) Draw the circuit diagram of the output function S with only 2-input NAND gates and
inverters.
(c) Draw the circuit diagram of the output function T with only 2-input NOR gates and
inverters.

Expert Solution

Step 1

(a)

Draw the truth table for the above-given situations.

Inputs				Outputs
K	L	M	N	P	R	S	T
0	0	0	0	0	1	1	0
0	0	0	1	0	1	1	1
0	0	1	0	1	0	0	0
0	0	1	1	1	0	0	1
0	1	0	0	1	0	1	0
0	1	0	1	1	0	1	1
0	1	1	0	1	1	0	0
0	1	1	1	d	d	d	d
1	0	0	0	d	d	d	d
1	0	0	1	0	1	0	0
1	0	1	0	0	1	0	1
1	0	1	1	0	1	1	0
1	1	0	0	0	1	1	1
1	1	0	1	1	0	0	0
1	1	1	0	1	0	0	1
1	1	1	1	1	0	1	0

Step 2

Draw the K-map for the function P.

Step 3

Draw the K-map for the function R.

Step 4

Draw the K-map for the function S.

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