(a) A Mealy sequential circuit has one input (x) and

Chapter 14, Problem 14.19

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QUESTION:

(a) A Mealy sequential circuit has one input (x) and one output (z). z can be 1 when the fourth, eighth, twelfth, etc. inputs are present, and z = 1 if and only if the most recent input, combined with the preceding three inputs, was not a valid excess-3 encoding of a decimal digit; otherwise, z = 0. Assume the excess-3 digits are received least significant bit first. Derive a state table for the circuit. (Nine states are sufficient.)

(b) Repeat for a Moore circuit (i.e., z = 1 if and only if, after the fourth, eighth, twelfth, etc. inputs have been received, the previous four inputs were not a valid excess-3 digit). (Ten states are sufficient.)

(c) Is it possible for a Moore circuit to generate the correct output while the fourth input bit is present rather than after it has been received? Explain your answer.

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QUESTION:

(a) A Mealy sequential circuit has one input (x) and one output (z). z can be 1 when the fourth, eighth, twelfth, etc. inputs are present, and z = 1 if and only if the most recent input, combined with the preceding three inputs, was not a valid excess-3 encoding of a decimal digit; otherwise, z = 0. Assume the excess-3 digits are received least significant bit first. Derive a state table for the circuit. (Nine states are sufficient.)

(b) Repeat for a Moore circuit (i.e., z = 1 if and only if, after the fourth, eighth, twelfth, etc. inputs have been received, the previous four inputs were not a valid excess-3 digit). (Ten states are sufficient.)

(c) Is it possible for a Moore circuit to generate the correct output while the fourth input bit is present rather than after it has been received? Explain your answer.

ANSWER:

Step 1 of 3

(a)

For the excess3 encoding, the input starts from 0011 and ends at 1100.

The output will be  only for the inputs 000 and 111, otherwise output will be .

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