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
E. 120

Answer :

Let's break down the logic of the XOR formula step by step to find the correct output.

The formula [tex]$=XOR(120<102 ; 83=83 ; 51<24)$[/tex] involves three logical conditions:

1. Condition 1: 120 < 102
- This condition checks if 120 is less than 102.
- Since 120 is greater than 102, this condition is False.

2. Condition 2: 83 = 83
- This condition checks if 83 is equal to 83.
- Since both numbers are the same, this condition is True.

3. Condition 3: 51 < 24
- This condition checks if 51 is less than 24.
- Since 51 is greater than 24, this condition is False.

Now, let's evaluate the XOR operation. The XOR (exclusive OR) function returns `True` if an odd number of the input conditions are `True`.

- In our case, only Condition 2 is `True`. That means there is one `True` condition among the three.
- Since one (an odd number) of the conditions is `True`, the result of the XOR operation is TRUE.

Therefore, the output of the formula is option:

A. TRUE