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Select the correct answer.

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

A. TRUE
B. FALSE
C. 83
D. 24
E. 120

Answer :

To solve the problem, we need to evaluate the expression using the XOR function in the context of logical conditions. The XOR function returns TRUE if an odd number of inputs are TRUE.

Let's break down the conditions:

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

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

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

Now, we apply XOR to the three results: FALSE, TRUE, and FALSE.

- XOR (exclusive OR) works as follows:
- TRUE XOR TRUE = FALSE
- FALSE XOR FALSE = FALSE
- TRUE XOR FALSE = TRUE

So, let's apply XOR step by step:

- Step 1: Evaluate [tex]\( \text{FALSE XOR TRUE} \)[/tex]
- Result: TRUE (since one is TRUE)

- Step 2: Evaluate [tex]\( \text{TRUE XOR FALSE} \)[/tex]
- Result: TRUE (since one is TRUE)

Therefore, the final output of the XOR operation is TRUE.

The correct answer is:

A. TRUE

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