1. Design a 4-input logic circuit which outputs logic "1" when the input is a prime number only. Inputs are x,y,z, and w. Output is F(x,y,z,w). Prepare a truth table and obtain a simplified expression for F using the K-map technique. Then draw the logic circuit using minimal number of gates. y

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter22: Sequence Control
Section: Chapter Questions
Problem 6SQ: Draw a symbol for a solid-state logic element AND.
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1. Design a 4-input logic circuit which outputs
logic "1" when the input is a prime number only.
Inputs are x,y,z, and w. Output is F(x,y,z,w).
Prepare a truth table and obtain a simplified
expression for F using the K-map technique.
Then draw the logic circuit using minimal
number of gates.
Prime
Output
y
Number
Detector
F(x,y,z,w)
Transcribed Image Text:1. Design a 4-input logic circuit which outputs logic "1" when the input is a prime number only. Inputs are x,y,z, and w. Output is F(x,y,z,w). Prepare a truth table and obtain a simplified expression for F using the K-map technique. Then draw the logic circuit using minimal number of gates. Prime Output y Number Detector F(x,y,z,w)
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