Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Gray code numbering changes only a single bit from the previous number. For inst

ID: 3860475 • Letter: G

Question

Gray code numbering changes only a single bit from the previous number. For instance, the 3-bit gray codes are 000, 001, 011, 010, 110, 111, 101, 100, where the next value after the last value cycles back to the first value. Gray code can make efficient counters as fewer bit values change, resulting in less power being dissipated. Design a circuit that at each rising clock edge changes according to the 3-bit gray number pattern. (a) Complete the following truth table that shows the next state. (10 points) Inputs Output (b) Write the sum-of-product form for each of the N2, N1, and NO outputs without any simplification. 10 points) NI =

Explanation / Answer

Dec Gray Binary

0 000 000

1 001 001

2 011 010

3 010 011

4 110 100

5 111 101

6 101 110

7 100 111