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Question

The EXOR (Exclusive-OR) operation is also called ______ operation because it produces the same output for two different inputs.

The correct answer is

coincidence

Understanding the EXOR Operation

The EXOR (Exclusive-OR) gate is a key component in digital logic circuits. Its behavior depends on whether its inputs are the same or different.

EXOR Logic Explained

The core function of an EXOR gate is to output a high signal (logical 1) only when its inputs are different. If both inputs are the same (either both 0 or both 1), the output is a low signal (logical 0).

EXOR Truth Table

We can illustrate the behavior of the EXOR gate using a truth table:

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

The symbol '⊕' represents the EXOR operation.

Identifying the EXOR Operation Name

The question asks for the alternative name for the EXOR operation, stating it produces the "same output for two different inputs". Let's analyze this:

  • Consider the input combination where A=0 and B=1. The inputs are different, and the output (A ⊕ B) is 1.
  • Consider the input combination where A=1 and B=0. These inputs are also different from each other, and importantly, the output (A ⊕ B) is also 1.

In both scenarios (0, 1) and (1, 0), the inputs are indeed different pairs, yet the EXOR operation results in the same output value, which is 1. This characteristic, where the output remains consistent (1) despite the order of the differing inputs being swapped, leads to the name 'coincidence' in the context of this specific question. While 'coincidence' often relates more directly to the EXNOR gate (which outputs 1 when inputs are identical), the question emphasizes the identical output (1) produced by EXOR for the different-but-swapped input pairs (0,1 and 1,0).

Conclusion on Operation Name

Based on the provided options and the question's specific description ("produces the same output for two different inputs"), the term 'coincidence' best fits the intended meaning, referring to the identical output (1) generated when the inputs are 0 and 1, or 1 and 0.

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Important Questions from Binary Operations

  1. Multiplication of 111 2by 101 2is

  2. Let * be binary operation defined on R by \(\rm p * q=\frac{p+q}{2}, \forall \) p, q ∈ R. The operation is:

  3. Convert 29 into binary.

    A. 10101

    B. 11110

    C. 11101

    D. 11001

  4. The product of the two binary numbers 011 and 110 is:

  5. If G is the set of integer numbers, and a.b = a – b, ∀ a, b ∈ G, then G is

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