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.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.15P
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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.
Transcribed Image Text: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.

steps

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