Get detailed and accurate answers to your questions on IDNLearn.com. Our platform offers reliable and detailed answers, ensuring you have the information you need.
Sagot :
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.
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.
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your questions deserve precise answers. Thank you for visiting IDNLearn.com, and see you again soon for more helpful information.
