Answer :
To determine the output of the formula `=\operatorname{XOR}(120<102 ; 83=83 ; 51<24)`, we can break it down step-by-step using logical comparisons and the XOR (exclusive OR) function.
1. Evaluate each condition:
- `120 < 102`
- This condition is False because 120 is not less than 102.
- `83 = 83`
- This condition is True because 83 is equal to 83.
- `51 < 24`
- This condition is False because 51 is not less than 24.
2. Apply the XOR (exclusive OR) function:
XOR is a logical operation that returns True if an odd number of the inputs are True, and False otherwise.
Let's see how XOR works with our conditions:
- Step-by-step XOR:
- First, compare the first two conditions:
- `False XOR True` results in True (because one is `True` and one is `False`).
- Next, take the result and compare it with the third condition:
- `True XOR False` results in True (because one is `True` and one is `False`).
Since the final result of the XOR operation is True, the correct answer is:
A. TRUE
1. Evaluate each condition:
- `120 < 102`
- This condition is False because 120 is not less than 102.
- `83 = 83`
- This condition is True because 83 is equal to 83.
- `51 < 24`
- This condition is False because 51 is not less than 24.
2. Apply the XOR (exclusive OR) function:
XOR is a logical operation that returns True if an odd number of the inputs are True, and False otherwise.
Let's see how XOR works with our conditions:
- Step-by-step XOR:
- First, compare the first two conditions:
- `False XOR True` results in True (because one is `True` and one is `False`).
- Next, take the result and compare it with the third condition:
- `True XOR False` results in True (because one is `True` and one is `False`).
Since the final result of the XOR operation is True, the correct answer is:
A. TRUE
