Question

Which of the following expressions will return $1$, if both bits have a value of $1$.Otherwise will it return a value of $0$ ?
A. AND
B. OR
C. XOR
D. 1`s complement

Answer 1

Boolean algebra is a branch of algebra in which the variables' values are the true values true and false, generally denoted 1 and 0, respectively, in mathematics and mathematical logic. The conjunction (and), the disjunction, and the negation are the primary operations of Boolean algebra, as opposed to basic algebra, where the variables' values are integers and the primary operations are addition and multiplication (not). In the same manner as elementary algebra defines numerical operations, it is a framework for defining logical processes.

Complete answer:
When the number of true inputs is odd, an XOR gate is used to produce a true (1 or HIGH) output. An XOR gate implements an exclusive or, which means that a true output is produced if only one of the gate's inputs is true. A false output is produced when both inputs are false (0/LOW) or both are true. The inequality function is represented as XOR, where the output is true if the inputs are not similar and false otherwise. "Must have one or the other but not both" is a good approach to remember XOR.

Input A	Input B	Output (A XOR B)
0	0	0
0	1	1
1	0	1
1	1	0

The OR gate is a digital logic gate that accomplishes logical disjunction by acting in accordance with the truth table on the right. If one or both of the gate's inputs are HIGH, the result is a HIGH output (1). If neither input is high, the result is a LOW output (0). In another sense, the OR function finds the maximum between two binary digits in the same way that the complementary AND function finds the minimum.

Input A	Input B	Output (A OR B)
0	0	0
0	1	1
1	0	1
1	1	1

The AND gate is a simple digital logic gate that provides logical conjunction; it acts in accordance with the truth table to the right. Only if all of the AND gate's inputs are HIGH does it produce a HIGH output (1). If none of the AND gate's inputs are HIGH, the output is LOW. Any number of inputs can be added to the function. AND gates can be found in IC packages. The 7408 IC is a well-known QUAD 2-Input AND GATES with four distinct gates, each performing the logic AND function.

Input A	Input B	Output (A AND B)
0	0	0
0	1	0
1	0	0
1	1	1

Hence option A is correct.

Note: Logic gates are used in computers to transform the 1s and the 0s from the input wires. 0s and 1s are not actual numbers. They represent logic levels. Logic gates are the basic building block of the digital computer. The logic gates convert the inputs based on their states.