Answer :
To solve the formula [tex]\( =XOR(120<102;83=83;51<24) \)[/tex], let's break it down step-by-step:
1. Evaluate each condition within the XOR function:
- The first condition is [tex]\(120 < 102\)[/tex]. This is FALSE.
- The second condition is [tex]\(83 = 83\)[/tex]. This is TRUE.
- The third condition is [tex]\(51 < 24\)[/tex]. This is FALSE.
2. Understand the XOR operation:
- XOR, or "exclusive or," gives a TRUE result only if an odd number of the conditions are TRUE.
3. Apply the XOR operation to the conditions:
- We have three conditions: [tex]\(FALSE\)[/tex], [tex]\(TRUE\)[/tex], and [tex]\(FALSE\)[/tex].
- Count the number of TRUE values: here, there's only one TRUE value.
An odd number of TRUE values (in this case, one) means that the result of the XOR operation will be TRUE.
So, the output of the formula [tex]\(=XOR(120<102;83=83;51<24)\)[/tex] is:
> A. TRUE
1. Evaluate each condition within the XOR function:
- The first condition is [tex]\(120 < 102\)[/tex]. This is FALSE.
- The second condition is [tex]\(83 = 83\)[/tex]. This is TRUE.
- The third condition is [tex]\(51 < 24\)[/tex]. This is FALSE.
2. Understand the XOR operation:
- XOR, or "exclusive or," gives a TRUE result only if an odd number of the conditions are TRUE.
3. Apply the XOR operation to the conditions:
- We have three conditions: [tex]\(FALSE\)[/tex], [tex]\(TRUE\)[/tex], and [tex]\(FALSE\)[/tex].
- Count the number of TRUE values: here, there's only one TRUE value.
An odd number of TRUE values (in this case, one) means that the result of the XOR operation will be TRUE.
So, the output of the formula [tex]\(=XOR(120<102;83=83;51<24)\)[/tex] is:
> A. TRUE