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Prime number indicator: In this activity, you will design a circuit that indicates whether a number...

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Programming

Prime number indicator: In this activity, you will design acircuit that indicates whether a number between 0 through 15 is aprime number or not. A prime number is defined as a number that canbe divided only by itself and 1. By definition, the numbers 0 and 1are not prime.

The circuit must have four binary inputs A, B, C, D, and oneoutput, G. The output signal G is true (G = 1) if the inputrepresents a prime number and is false (G = 0) otherwise.

a) Construct a truth table to represent this problem

b) Derive the Boolean equation for F from the truth table

c) Derive a simplified expression for F

d) Draw a logic circuit to implement your solution using AND, ORand NOT gates

e) Draw a logic circuit to implement your solution using NORgates only

Answer & Explanation Solved by verified expert
4.2 Ratings (703 Votes)
Before moving to the actual solution you need to know thatPrime Numbers are those numbers which have only 2 factoresie 1 and the number itselfNote 0 and 1 are not primea Truth TableNumbersIPABCDOPG00 0 0 0010 0 0 1020 0 1 0130 0 1 1140 1 0 0050 1 0 1160 1 1 0070 1 1 1181 0 0 0091 0 0 10101 0 1 00111    See Answer
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