Textbook brain teaser
Show that two input NOT gates followed by NOR act as AND.
ثابت کریں کہ دونوں ان پٹ پر NOT اور پھر NOR لگانے سے AND بنتا ہے۔
Solution & explanation
| A | B | NOT A | NOT B | X |
|---|---|---|---|---|
| 0 | 0 | 1 | 1 | 0 |
| 0 | 1 | 1 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 1 | 1 | 0 | 0 | 1 |
The inputs to NOR are NOT A and NOT B, so X = NOT((NOT A) OR (NOT B)). De Morgan’s law gives X = A AND B. The outputs for 00, 01, 10, 11 are 0, 0, 0, 1. This verifies the circuit for every possible two-input state.
Independent study material · English-medium textbook p. 162 · Original book ↗