Question: 2.15 A circuit has four inputs, P, Q, R, and S, representing the natural binary numbers 0000= 0, to 1111= 15. P is the most-significant

2.15 A circuit has four inputs, P, Q, R, and S, representing the natural binary numbers 0000= 0, to 1111= 15. P is the most-significant bit.The circuit has one output, X, which is true if the number represented by the input is divisible by three (regard zero as being indivisible by three.) Design a truth table for this circuit and hence obtain an expression for X in terms of P, Q, R, and S. Give the circuit diagram of an arrangement of AND, OR, and NOT gates to implement this circuit. Design a second circuit to implement this function using NAND gates only.

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4. Explain the strengths and weaknesses of each approach.

d. Describe any challenges in trying to communicate. If there were no challenges, explain why you think it was so easy.

3. Identify the methods used within each of the three approaches.