Draw a state diagram for an FSM with an input gcnt and three outputs, x, y and z. The xyz outputs generate a sequence called a Gray code in which exactly one of the three outputs changes from 0 to 1 or from 1 to 0. The Gray code sequence that the FSM should output is 000, 010, 011, 001, 101, 111, 110, 100, repeat. The output should change only on a rising clock edge when the input gcnt = 1. Make the ini- tial state 000.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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5.
Draw a state diagram for an FSM with an input gcnt and three outputs, x, y and z.
The xyz outputs generate a sequence called a Gray code in which exactly one of the
three outputs changes from 0 to 1 or from 1 to 0. The Gray code sequence that the
FSM should output is 000, 010, 011, 001, 101, 111, 110, 100, repeat. The output
should change only on a rising clock edge when the input gcnt = 1. Make the ini-
tial state 000.
Construct a state diagram from the following state table. What is the logic equation for the output
variable z?
Present
state
A
B
C
D
Input x
0
D/1
D/1
D/1
B/1
1
B/0
C/O
A/0
C/0
Next state/Output z
Transcribed Image Text:5. Draw a state diagram for an FSM with an input gcnt and three outputs, x, y and z. The xyz outputs generate a sequence called a Gray code in which exactly one of the three outputs changes from 0 to 1 or from 1 to 0. The Gray code sequence that the FSM should output is 000, 010, 011, 001, 101, 111, 110, 100, repeat. The output should change only on a rising clock edge when the input gcnt = 1. Make the ini- tial state 000. Construct a state diagram from the following state table. What is the logic equation for the output variable z? Present state A B C D Input x 0 D/1 D/1 D/1 B/1 1 B/0 C/O A/0 C/0 Next state/Output z
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