4. A combinational logic circuit has four inputs and one output. The output is 1 if and only if the decimal number represented by the inputs in binary code is a prime number. i. Construct the truth table and simplify the Boolean expression into POS form using K-map.

4. A combinational logic circuit has four inputs and one output. The output is 1 if and only if the decimal number represented by the inputs in binary code is a prime number. i. Construct the truth table and simplify the Boolean expression into POS form using K-map.

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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Question

4. A combinational logic circuit has four inputs and one output. The output is 1 if and only if the decimal
number represented by the inputs in binary code is a prime number.
i. Construct the truth table and simplify the Boolean expression into POS form using K-map.
ii. Construct the logic diagram using OR-AND gate network with simplified POS expression
iii. Construct the logic diagram using only NOR gates with simplified POS expression.

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