You need to design a digital circuit that has three inputs (A, B and C) and one output (F). F is set to one if the input is a prime number and zero otherwise (assume that the number zero will not be used as input, that is, invalid). a) Write the truth table. b) Using K-map, conclude the simplified form of F. c) Implement the circuit using 2-to-4 decoder. d) Implement the circuit using 3-to-8 decoder. e) Implement the circuit using 8-to-1 MUX. f) Implement the circuit using 4-to-1 MUX.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Question 5:
You need to design a digital circuit that has three inputs (A, B and C) and one output (F). F is set
to one if the input is a prime number and zero otherwise (assume that the number zero will not be
used as input, that is, invalid).
a) Write the truth table.
b) Using K-map, conclude the simplified form of F.
c) Implement the circuit using 2-to-4 decoder.
d) Implement the circuit using 3-to-8 decoder.
e) Implement the circuit using 8-to-1 MUX.
f) Implement the circuit using 4-to-1 MUX.
Transcribed Image Text:Question 5: You need to design a digital circuit that has three inputs (A, B and C) and one output (F). F is set to one if the input is a prime number and zero otherwise (assume that the number zero will not be used as input, that is, invalid). a) Write the truth table. b) Using K-map, conclude the simplified form of F. c) Implement the circuit using 2-to-4 decoder. d) Implement the circuit using 3-to-8 decoder. e) Implement the circuit using 8-to-1 MUX. f) Implement the circuit using 4-to-1 MUX.
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