Question: 4. A prime number is an integer p > 1, that cannot be divided by any other integer except 1 and itself. A logic circuit

4. A prime number is an integer p > 1, that cannot be divided by any other integer except 1 and itself. A logic circuit takes 4 inputs a, b, c, d that form a binary number as input. The output z is equal to 1 if the number formed by the input is a prime number.

(a) What is the range of numbers that can be input to this circuit?

(b) Draw the Truth Table for the circuit.

(d) Design the circuit with AND, OR, and NOT gates (you may use 2, 3, and 4 input AND and OR gates.)

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