Computer Organization and Design MIPS Edition, Fifth Edition: The Hardware/Software Interface (The Morgan Kaufmann Series in Computer Architecture and Design)
5th Edition
ISBN: 9780124077263
Author: David A. Patterson, John L. Hennessy
Publisher: Elsevier Science
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Expert Solution & Answer
Chapter B, Problem 40E
Explanation of Solution
Truth table:
Present state | Next state | Required input | ||||||
Q1 | Q2 | Q3 | Q1’ | Q2’ | Q3’ | d1 | d2 | d3 |
0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 |
0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 |
0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 |
0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 |
1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 |
1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 |
1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 |
1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Explanation:
- The above table describes about the 3-bit gray code generator using D-flip flop with the expected gray code inputs d1, d2 and d3 and their calculated values Q=0 and Q’=0.
- If Q=0 and Q’=1 then, the input is 1.
- If Q=1 and Q’=0 then, the input is 0.
- If Q=1 and Q’=1 then, the input is 1.
The above block diagram describes about the 3-bit gray code counter using D-flip flop with the expected gray code inputs d1, d2 and d3. and their calculated values Q=0 and Q’=0.
The logical equation for the inputs d1, d2 and d3 from the above table can be calculated as follows
Expert Solution & Answer
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Check out a sample textbook solutionChapter B Solutions
Computer Organization and Design MIPS Edition, Fifth Edition: The Hardware/Software Interface (The Morgan Kaufmann Series in Computer Architecture and Design)
Ch. B - Prob. 1ECh. B - Prob. 2ECh. B - Prob. 3ECh. B - Prob. 4ECh. B - Prob. 5ECh. B - Prob. 6ECh. B - Prob. 7ECh. B - Prob. 8ECh. B - Prob. 9ECh. B - Prob. 10E
Ch. B - Prob. 11ECh. B - Prob. 14ECh. B - Prob. 15ECh. B - Prob. 16ECh. B - Prob. 17ECh. B - Prob. 19ECh. B - Prob. 20ECh. B - Prob. 25ECh. B - Prob. 26ECh. B - Prob. 27ECh. B - Prob. 28ECh. B - Prob. 29ECh. B - Prob. 30ECh. B - Prob. 31ECh. B - Prob. 32ECh. B - Prob. 33ECh. B - Prob. 34ECh. B - Prob. 35ECh. B - Prob. 36ECh. B - Prob. 37ECh. B - Prob. 38ECh. B - Prob. 39ECh. B - Prob. 40ECh. B - Prob. 41ECh. B - Prob. 42ECh. B - Prob. 43E
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