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Complete the following truth table:

\begin{tabular}{|c|c|c|c|}
\hline
A & B & C & Output \\
\hline
0 & 0 & 0 & 1 \\
\hline
0 & 0 & 1 & 0 \\
\hline
0 & 1 & 0 & 1 \\
\hline
0 & 1 & 1 & 0 \\
\hline
1 & 0 & 0 & 0 \\
\hline
1 & 0 & 1 & 1 \\
\hline
1 & 1 & 0 & 1 \\
\hline
1 & 1 & 1 & 0 \\
\hline
\end{tabular}

Sagot :

GinnyAnswer
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.
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