p-flops and a PLA implement a 3-bit Gray code up/down counter. The single bit input X = 0 denotes that the counter counts up at each clock cycle whereas X = 1 denotes that the counter counts down at each clock cycle. The outputs are the value of the counter. A Gray code is a sequence of binary numbers with the property that no more than 1 bit changes in going from one element of the sequence to another.
Computer Science
Using three D flip-flops and a PLA implement a 3-bit Gray code up/down counter.
The single bit input X = 0 denotes that the counter counts up at each clock cycle whereas X = 1 denotes that the counter counts down at each clock cycle.
The outputs are the value of the counter.
A Gray code is a sequence of binary numbers with the property that no more than 1 bit changes in going from one element of the sequence to another.
For example, a 3-bit binary Gray code up sequence is given by: 000, 001, 011, 010, 110, 111, 101, 100. The Gray code is cyclic so that the value after 100 in the sequence is 000. The Gray code down sequence is the above sequence traversed in the opposite direction.
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