Academics – Mathematics : 2023/DEC/09
Question
Q9. (a) The truth table for a logic system with inputs A, B and C, and output X. is shown in Table Q9(a)
| A | B | C | X |
| 0 | 0 | 0 | 1 |
| 0 | 0 | 1 | 1 |
| 0 | 1 | 0 | 0 |
| 0 | 1 | 1 | 0 |
| 1 | 0 | 0 | 0 |
| 1 | 0 | 1 | 1 |
| 1 | 1 | 0 | 0 |
| 1 | 1 | 1 | 1 |
Table Q9(a)
Produce EACH of the following for the logic system:
(i) a Boolean expression in its simplest form; (3)
(ii) the logic circuit with the minimum number of gates; (3)
(iii) the logic circuit using only NAND gates (crossing out any redundant gates). (4)
(b) Determine, without using calculator conversion function the value of DC16 ÷ 101002.
Giving the answer in the tree forms: binary, hexadecimal and decimal.
Asked in Year/Month/Ques No.
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