Which logic gate is represented by the following combination of logic gates ?
This is a case of an AND gate. The input and output relationships are shown below:
Therefore, the output \( y \) is:
\( y = A + B = A \cdot B \)
Since \( A + B = A \cdot B \), the output can be written as:
\( y = AB \)
Thus, the output of the AND gate is \( AB \).
A | B | Y1 | Y2 | Y |
---|---|---|---|---|
0 | 0 | 1 | 1 | 0 |
0 | 1 | 1 | 0 | 0 |
1 | 0 | 0 | 1 | 0 |
1 | 1 | 0 | 0 | 1 |
According to the truth table:
The expression: \( Y = A \cdot B \), suggests that the output \( Y \) is only true (1) when both \( A \) and \( B \) are true (1). This is characteristic of an AND gate.
Conclusion: The given combination of logic gates and truth table corresponds to the behavior of an AND gate, where the output is 1 only when both inputs are 1, and 0 otherwise.
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.