combinational counter answer and explanation
Combinational counter Assignment Answers
Question:
Combinational counter Answer and Explanation
- State 0: Output 0
- State 1: Output 2
- State 6: Output 5
- State 7: Output 7
The next state logic can be described using a truth table and then converted into combinational logic.
State Transition Table
| Present State | Next State |
|---|---|
| 000 (0) | 001 (1) |
| 001 (1) | 010 (2) |
| 010 (2) | 011 (3) |
| 011 (3) | 100 (4) |
| 100 (4) | 101 (5) |
| 101 (5) | 110 (6) |
| 110 (6) | 111 (7) |
| 111 (7) | 000 (0) |
| State | Output |
|---|---|
| 000 | 0 |
| 001 | 2 |
| 010 | 1 |
| 011 | 3 |
| 100 | 4 |
| 101 | 6 |
| 110 | 5 |
| 111 | 7 |
Next State Logic
We'll use the present state Q to determine the next state Q_{next}:
- Output = Q
Timing Analysis
Output for the First 50 Microseconds
Given a clock cycle time of 15 microseconds:
5. At t = 60 \mu s -> State 4 -> Output 4
Summary
