Select the correct answer.

What is the output of the formula [tex]$=XOR(120\ \textless \ 102 ; 83=83 ; 51\ \textless \ 24)$[/tex]?

A. TRUE
B. FALSE
C. 83
D. 24

Answer :

To solve the problem, we need to evaluate the XOR formula provided. Let's break down the conditions in the formula one by one:

1. Condition 1: [tex]\(120 < 102\)[/tex]
- This condition evaluates to FALSE because 120 is not less than 102.

2. Condition 2: [tex]\(83 = 83\)[/tex]
- This condition evaluates to TRUE because 83 is equal to 83.

3. Condition 3: [tex]\(51 < 24\)[/tex]
- This condition evaluates to FALSE because 51 is not less than 24.

The XOR function checks if an odd number of conditions are TRUE. The rule of XOR is that it outputs TRUE if the number of TRUE inputs is odd.

Let's evaluate the XOR of these three conditions:
- Condition 1: FALSE
- Condition 2: TRUE
- Condition 3: FALSE

There is only one TRUE condition (Condition 2), which is an odd number.

Therefore, the output of the XOR function for the given conditions is TRUE.

So, the correct answer is:

A. TRUE