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Design a circuit that has a 3 bit binary input (representing 0 through 7) and outputs...

Design a circuit that has a 3 bit binary input (representing 0 through 7) and outputs a 1 if the input is a prime number.  A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself.

a)  Fill out a truth table that represents the logic equation for this circuit:  Y = F(A,B,C).

b)  Using a Karnaugh map simplify the logic equation.

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Answer #1

Given 3 binary input : output is 1 for poime numbers. a) Truth table : 2,3,5,7 are poime numbers - B с $ у Y = F(ABC) 0 Y = ĀI got the same output using truth table and k-map simplification by considering prime number output is one. and designed the circuit for the simplified logic equation.

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