In a logic circuit with inputs A, B, and C, and an output Y, the values of A, B, and C can be either 0 or 1. The output Y is determined based on the logic gates and connections within the circuit.
To find the combinations of A, B, and C that give the output Y = 0, we need to identify the specific input combinations that result in an output of 0.
Since there are two possible values (0 and 1) for each of the three inputs (A, B, C), there are a total of 23=823=8 possible input combinations.
For the output Y to be 0, we need to determine the input combinations that lead to Y = 0. There are seven combinations in which the output is 0:
A = 0, B = 0, C = 0
A = 0, B = 0, C = 1
A = 0, B = 1, C = 0
A = 1, B = 0, C = 0
A = 0, B = 1, C = 1
A = 1, B = 0, C = 1
A = 1, B = 1, C = 0
These combinations are obtained by considering the logical operations within the circuit that lead to an output Y = 0.
Hence, there are 7 combinations of A, B, and C that result in the output Y = 0.
The correct answer is option (C): 7
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Approach Solution -2
The output D for the given combination: D = ¯(¯(A + B) . C) = ¯(¯(A + B) + ¯C) If A = B = C = 0, then D = ¯(¯(0 + 0) + ¯0) = ¯(1 + 1) = ¯1 = 0
If A = B = 1, C = 0, then D = ¯(¯(1 + 1) + ¯0) = ¯(0 + 1) = ¯1 = 0
It is the gate, where a circuit performs an AND operation. It has n number of input where (n >= 2) and one output.
OR Gate
It is the gate, where a circuit performs an OR operation. It has n number of input where (n >= 2) and one output.
NOT Gate
An inverter is also called NOT Gate. It has one input and one output where the input is A and the output is Y.
NAND Gate
A NAND operation is also called a NOT-AND operation. It has n number of input where (n >= 2) and one output.
NOR Gate
A NOR operation is also called a NOT-OR operation. It has n number of input where (n >= 2) and one output.
XOR Gate
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
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.
