Sure, let's go through the truth table step by step and determine the output for each combination of inputs [tex]\(A\)[/tex], [tex]\(B\)[/tex], and [tex]\(C\)[/tex].
Given combinations and their respective outputs:
1. When [tex]\(A = 0\)[/tex], [tex]\(B = 0\)[/tex], and [tex]\(C = 0\)[/tex]:
- According to the truth table, the output is [tex]\(1\)[/tex].
2. When [tex]\(A = 0\)[/tex], [tex]\(B = 0\)[/tex], and [tex]\(C = 1\)[/tex]:
- According to the truth table, the output is [tex]\(0\)[/tex].
3. When [tex]\(A = 0\)[/tex], [tex]\(B = 1\)[/tex], and [tex]\(C = 0\)[/tex]:
- According to the truth table, the output is [tex]\(1\)[/tex].
4. When [tex]\(A = 0\)[/tex], [tex]\(B = 1\)[/tex], and [tex]\(C = 1\)[/tex]:
- According to the truth table, the output is [tex]\(0\)[/tex].
5. When [tex]\(A = 1\)[/tex], [tex]\(B = 0\)[/tex], and [tex]\(C = 0\)[/tex]:
- According to the truth table, the output is [tex]\(0\)[/tex].
6. When [tex]\(A = 1\)[/tex], [tex]\(B = 0\)[/tex], and [tex]\(C = 1\)[/tex]:
- According to the truth table, the output is [tex]\(1\)[/tex].
7. When [tex]\(A = 1\)[/tex], [tex]\(B = 1\)[/tex], and [tex]\(C = 0\)[/tex]:
- According to the truth table, the output is [tex]\(1\)[/tex].
8. When [tex]\(A = 1\)[/tex], [tex]\(B = 1\)[/tex], and [tex]\(C = 1\)[/tex]:
- According to the truth table, the output is [tex]\(0\)[/tex].
So, combining all the results, we get:
- [tex]\((A=0, B=0, C=0) \rightarrow Output = 1\)[/tex]
- [tex]\((A=0, B=0, C=1) \rightarrow Output = 0\)[/tex]
- [tex]\((A=0, B=1, C=0) \rightarrow Output = 1\)[/tex]
- [tex]\((A=0, B=1, C=1) \rightarrow Output = 0\)[/tex]
- [tex]\((A=1, B=0, C=0) \rightarrow Output = 0\)[/tex]
- [tex]\((A=1, B=0, C=1) \rightarrow Output = 1\)[/tex]
- [tex]\((A=1, B=1, C=0) \rightarrow Output = 1\)[/tex]
- [tex]\((A=1, B=1, C=1) \rightarrow Output = 0\)[/tex]
Putting it all together, the results are:
[tex]\[ (1, 0, 1, 0, 0, 1, 1, 0) \][/tex]
These are the outputs for the given inputs based on the truth table provided.
