Given Expression:
\[ y = (A'B') = A + B \]
In this expression, we have two components: A and B. The symbol ' represents the NOT operation, which inverts the value of the variable.
We begin by interpreting the term A'B' as the AND operation between the negation (NOT) of A and B. In Boolean algebra, the product (AND operation) of A' and B' can be represented as:
\[ A'B' \quad \text{(AND operation between the negations of A and B)} \]
Now, according to the given equation, the result y is also equal to the sum (OR operation) of A and B. The OR operation between A and B is written as:
\[ A + B \quad \text{(OR operation between A and B)} \]
Therefore, we conclude that the expression represents the behavior of an OR gate in digital logic. The OR gate will output 1 (True) if either of the inputs A or B is 1, and it will output 0 (False) only when both inputs are 0.
Conclusion: The given equation represents the logic of an OR gate. Hence, the correct option is (A) OR gate.
The output (Y) of the given logic implementation is similar to the output of an/a …………. 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
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:
It is the gate, where a circuit performs an AND operation. It has n number of input where (n >= 2) and one output.
It is the gate, where a circuit performs an OR operation. It has n number of input where (n >= 2) and one output.
An inverter is also called NOT Gate. It has one input and one output where the input is A and the output is Y.
A NAND operation is also called a NOT-AND operation. It has n number of input where (n >= 2) and one output.
A NOR operation is also called a NOT-OR operation. It has n number of input where (n >= 2) and one output.
XOR or Ex-OR gate is a specific type of gate that can be used in the half adder, full adder, and subtractor.
XNOR gate is a specific type of gate, which can be used in the half adder, full adder, and subtractor. The exclusive-NOR gate is flattened as an EX-NOR gate or sometimes as an X-NOR gate. It has n number of input (n >= 2) and one output.