A NOR gate with both inputs tied together — circuit to expression
corereads back as Ā
Answer
A′ (output column 10)
Why this example is worth doing
One gate, both inputs shorted to the same signal, which is the cheapest inverter you can build from a NOR and the first move in every NOR-only conversion. The expression reader has to handle a fan-out node driving two inputs of the same gate, which is exactly the case a two-terminal wire model gets wrong. The page notes the tying-versus-grounding choice too: A NOR 0 also inverts, and which one a real design uses depends on the library, not the algebra.
Try your own input in the Logic circuit → expression. Wire up gates and read the Boolean expression and truth table back out.
How the answer is reached
Gate list
| Node | Gate | Inputs |
|---|---|---|
| g1 | nor | A, A |
Quine–McCluskey
| # | Term |
|---|---|
| 1 | A′ |
| # | Cover |
|---|---|
| 1 | A′ |
Warning:
1 term(s), 1 literal(s); 1 essential prime implicant(s).
Truth table
| # | A | F |
|---|---|---|
| 0 | 0 | 1 |
| 1 | 1 | 0 |