2.15 A circuit has four inputs, P, Q, R, and S, representing the natural binary numbers...

   

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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. 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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The question is asking to design a digital circuit that determines if a 4bit binary number is divisible by three The question also requests that a tru... View the full answer