The given circuit has two inputs, A and B, each passing through a NOT gate, making the inputs Ā and B̄. These modified inputs are then fed into a NAND gate, which gives the output Y as follows:
1. **Output of NAND Gate:**
Y = (Ā ⋅ B̄).
2. **Apply De Morgan’s Law:**
Using De Morgan’s law:
Y = (Ā ⋅ B̄) = A + B.
Thus, the output Y behaves as an OR gate.
Answer: OR gate
The logic gate equivalent to the circuit given in the figure is
The logic gate equivalent to the combination of logic gates shown in the figure is
The output (Y) of the given logic implementation is similar to the output of an/a …………. gate.
Let $ P_n = \alpha^n + \beta^n $, $ n \in \mathbb{N} $. If $ P_{10} = 123,\ P_9 = 76,\ P_8 = 47 $ and $ P_1 = 1 $, then the quadratic equation having roots $ \alpha $ and $ \frac{1}{\beta} $ is: