The circuit consists of an AND gate, a NOT gate, and an OR gate. The output \(Y\) is determined as follows:
\[ Y = \overline{A \cdot B} + B \]
Step-by-Step Evaluation of Truth Table:
A | B | A · B | &overline;A · B | Y = &overline;A · B + B |
---|---|---|---|---|
0 | 0 | 0 | 1 | 1 |
0 | 1 | 0 | 1 | 1 |
1 | 0 | 0 | 1 | 1 |
1 | 1 | 1 | 0 | 1 |
Thus, the correct truth table is represented in Option (2).
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: