Question
Question: The logic gate equivalent to the given logic circuit is- (A). OR (B). AND (C). NOR (D). NAND...
The logic gate equivalent to the given logic circuit is-
(A). OR
(B). AND
(C). NOR
(D). NAND
Solution
Operations are performed on binary numbers using logic gates. The binary numbers are formed with base 10. Classical computers are run on binary numbers and their operations. We can use some fundamental gates to make combinations of logic gates or circuits. The resultant and inputs are 0 and 1.
Complete answer:
Logic gates are used to perform operations on binary numbers. Binary numbers are numbers formed from combinations of 0 and 1.
The above logic gate is known as NOT gate. It flips the given binary number and its truth table is
A | Z |
---|---|
1 | 0 |
0 | 1 |
The above logic gate is a NAND gate. It is the opposite of AND gate. It gives 0 when one of the inputs is 0 but the output is 1 when but inputs are 1.
Its truth table us-
A | B | Z=A∩B |
---|---|---|
1 | 1 | 1 |
1 | 0 | 0 |
0 | 1 | 0 |
0 | 0 | 0 |
The truth table for the above logic gate will be-
A | B | A=A′ | B′=B | Z=A′∩B′ |
---|---|---|---|---|
1 | 1 | 0 | 0 | 1 |
1 | 0 | 0 | 1 | 1 |
0 | 1 | 1 | 0 | 1 |
0 | 0 | 1 | 1 | 0 |
The truth table for an OR gate is
A | B | Z=A∪B |
---|---|---|
1 | 1 | 1 |
1 | 0 | 1 |
0 | 1 | 1 |
0 | 0 | 0 |
The truth table for the given logic gate and OR gate is the same, this means the given logic gate is equivalent to the OR gate.
Therefore, the logic circuit is equivalent to OR gate.
Hence, the correct option is (A).
Note:
Logic gates can be connected together to perform different types of operations. The most fundamental logic gates which are used to make other logic circuits are OR, AND, NOT etc. When no gate is combined with a logic gate, the final value is opposite to the resultant of that gate.