3-input AND, A = 1, B = 1, C = 0 — AND gate
coreone low input dominates
Answer
output 0
Why this example is worth doing
Three inputs, one of them low, output 0. The generalisation is that AND has an absorbing input value: a single 0 anywhere forces the output regardless of everything else, which is why AND gates are used as gating and blanking elements. The page contrasts this with OR, whose absorbing value is 1, and notes that the absorbing value is exactly the annulment law from the Boolean laws reference showing up as a physical property.
Try your own input in the AND gate. Truth table, symbol and algebraic form for A·B, with a live two-input toggle.
How the answer is reached
The probed row
A = 1, B = 1, C = 00— Row 6 of 8.
Truth table
| # | A | B | C | A · B · C |
|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 1 |