Answer :
To solve this problem, we need to evaluate the logical conditions inside the XOR function and then determine the overall result.
1. Understand the conditions:
- [tex]\( 120 < 102 \)[/tex]: This condition is FALSE because 120 is not less than 102.
- [tex]\( 83 = 83 \)[/tex]: This condition is TRUE because 83 is equal to 83.
- [tex]\( 51 < 24 \)[/tex]: This condition is FALSE because 51 is not less than 24.
2. XOR operation:
The XOR (exclusive OR) operation works as follows:
- It returns TRUE if an odd number of inputs are TRUE.
- It returns FALSE if the number of TRUE inputs is even.
Let's apply XOR to the conditions:
- The conditions we have are: FALSE, TRUE, FALSE.
- Checking the number of TRUE values: There is only one TRUE value among the conditions.
- Since we have an odd number (one) of TRUE values, the XOR result is TRUE.
Therefore, the output of the formula is TRUE.
So, the correct answer is:
A. TRUE
1. Understand the conditions:
- [tex]\( 120 < 102 \)[/tex]: This condition is FALSE because 120 is not less than 102.
- [tex]\( 83 = 83 \)[/tex]: This condition is TRUE because 83 is equal to 83.
- [tex]\( 51 < 24 \)[/tex]: This condition is FALSE because 51 is not less than 24.
2. XOR operation:
The XOR (exclusive OR) operation works as follows:
- It returns TRUE if an odd number of inputs are TRUE.
- It returns FALSE if the number of TRUE inputs is even.
Let's apply XOR to the conditions:
- The conditions we have are: FALSE, TRUE, FALSE.
- Checking the number of TRUE values: There is only one TRUE value among the conditions.
- Since we have an odd number (one) of TRUE values, the XOR result is TRUE.
Therefore, the output of the formula is TRUE.
So, the correct answer is:
A. TRUE
