Logic diagrams 1 - Answers
Q1. Study this logic diagram:
Q2. There are 3 inputs (A, B and D) and 1 output (E).
Q3. There are 8 permutations.
Q4. 2 to the power of the number of inputs (3) = 8.
Q5. The truth table for the diagram. Note the order I prefer to put the columns in. This allows me to fill in the different permutations by couniting up in binary.
| A | B | D | C | E |
| 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 0 | 1 |
| 0 | 1 | 0 | 0 | 0 |
| 0 | 1 | 1 | 0 | 1 |
| 1 | 0 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 | 1 |
| 1 | 1 | 0 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 |
Q6. Study this logic diagram:
Q7. There are 3 inputs (A, B and D) and 1 output (E).
Q8. There are 8 permutations.
Q9. 2 to the power of the number of inputs (3) = 8.
Q10. The truth table for the diagram. Note the order I prefer to put the columns in. This allows me to fill in the different permutations by couniting up in binary.
| A | B | D | C | E |
| 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 0 | 0 |
| 0 | 1 | 0 | 1 | 0 |
| 0 | 1 | 1 | 1 | 1 |
| 1 | 0 | 0 | 1 | 0 |
| 1 | 0 | 1 | 1 | 1 |
| 1 | 1 | 0 | 1 | 0 |
| 1 | 1 | 1 | 1 | 1 |
Q11. Study this logic diagram:
Q12. There are 2 inputs (A and C) and 1 output (D).
Q13. There are 4 permutations.
Q14. 2 to the power of the number of inputs (2) = 4.
Q15. The truth table for the diagram. Note the order I have prefered to put the columns in. This allows me to fill in the different permutations by couniting up in binary.
| A | C | B | D |
| 0 | 0 | 1 | 0 |
| 0 | 1 | 1 | 1 |
| 1 | 0 | 0 | 0 |
| 1 | 1 | 0 | 0 |