A sequential circuit has an input (X) and two outputs (D

Chapter 14, Problem 14.38

(choose chapter or problem)

A sequential circuit has an input (X) and two outputs (D and B). X represents a 4-bit binary number N which is input least significant bit first. D represents a 4-bit binary number equal to N − 2, which is output least significant bit first. At the time the fourth input occurs, B = 1 if N − 2 is less than 0; otherwise B = 0. The circuit always resets after the fourth bit of X is received. Find a Mealy state graph and table for the circuit.

Example:                                            X = 0001    1000    1100

                                                           D = 0110     1111    1000

                                                           B = 0000     0001    0000