Homework Answers
(a.) The truth table is as follows:-
| Q8 | Q4 | Q2 | Q1 | Q8 | Q4 | Q2 | Q1 | Y | m | TQ8 | TQ4 | TQ2 | TQ1 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | Q8'Q4'Q2'Q1' | 0 | 0 | 0 | 1 |
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | Q8'Q4'Q2'Q1 | 0 | 0 | 1 | 1 |
| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | Q8'Q4'Q2Q1' | 0 | 0 | 0 | 1 |
| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | Q8'Q4'Q2Q1 | 0 | 1 | 1 | 1 |
| 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | Q8'Q4Q2'Q1' | 0 | 0 | 0 | 1 |
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | Q8'Q4Q2'Q1 | 0 | 0 | 1 | 1 |
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | Q8'Q4Q2Q1' | 0 | 0 | 0 | 1 |
| 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | Q8'Q4Q2Q1 | 1 | 1 | 1 | 1 |
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | Q8Q4'Q2'Q1' | 0 | 0 | 0 | 1 |
| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | Q8Q4'Q2'Q1 | 1 | 0 | 0 | 1 |
BCD supports only input combinations from 0 to 9, but the possible combinations of 4 variables is 16, therefore the next state for rest of the combinations (10-15) will be don't care.
(b.) The input equations for TQ4, TQ2, TQ1 are as follows:-
(c.) The equation of output signal Y is as follows:-
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Problem 2 Design a BCD counter that uses four(4) T flip-flops using the given table format...
Problem 2 Design a BCD counter that uses four(4) T flip-flops using the given table format...
Problem 2 Design a BCD counter that uses four(4) T flip-flops using the given table format below. The output signal Y = 0 only during the counter transition from 1001 to 0000, otherwise, Y = 1 (for each valid input). Determine the following: (a) The circuit's state table 14 pts. Present State Next State Output Minterm Flip-Flop Inputs Q8 Q4 Q2 Q1 Q8Q4Q2 Y (m) TQ8 TQ4 TQ2 TQ1 Q1 Required format of the state table in Problem 2(a). Show...
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Design a BCD counter that uses four(4) T flip-flops using the given table format below. The output signal Y = 0 only during the counter transition from 1001 to 0000, otherwise, Y = 1 (for each valid input). Determine the following: (a) The circuit's state table Present State Next State Output Minterm Flip-Flop Inputs Q. Q4 Q1 Q: Q4 Q2 Q1 Y (m) T24 T02 TQ1 T08 Required format of the state table in Problem 2(a). Show table grid lines...
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Design a BCD counter with four T flip-flops. - The state table should have the present state, next state, output, minterm, and flip-flop inputs. The output signal Y = 0 only during the counter transition from 1001 to 0000, otherwise, Y = 1 (for each valid input). - The input equation for TQ4, TQ2 and TQ1 in SOP. - The equation of the output signal Y in SOP.
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