CS101 Complete Solution Step By Step
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Inputs |
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A |
B |
C |
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0 |
0 |
0 |
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0 |
0 |
1 |
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0 |
1 |
0 |
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0 |
1 |
1 |
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1 |
0 |
0 |
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1 |
0 |
1 |
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1 |
1 |
0 |
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1 |
1 |
1 |
Step 1:-
Find (A´. B´)´
|
A |
B |
C |
A´ |
B´ |
A´. B´ |
(A´. B´)´ |
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0 |
0 |
0 |
1 |
1 |
1 |
0 |
|
0 |
0 |
1 |
1 |
1 |
1 |
0 |
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0 |
1 |
0 |
1 |
0 |
0 |
1 |
|
0 |
1 |
1 |
1 |
0 |
0 |
1 |
|
1 |
0 |
0 |
0 |
1 |
0 |
1 |
|
1 |
0 |
1 |
0 |
1 |
0 |
1 |
|
1 |
1 |
0 |
0 |
0 |
0 |
1 |
|
1 |
1 |
1 |
0 |
0 |
0 |
1 |
Step 2:-
Find (A´+B)´
|
A |
B |
C |
A´ |
A´+B |
(A´+B)´ |
|
0 |
0 |
0 |
1 |
1 |
0 |
|
0 |
0 |
1 |
1 |
1 |
0 |
|
0 |
1 |
0 |
1 |
1 |
0 |
|
0 |
1 |
1 |
1 |
1 |
0 |
|
1 |
0 |
0 |
0 |
0 |
1 |
|
1 |
0 |
1 |
0 |
0 |
1 |
|
1 |
1 |
0 |
0 |
1 |
0 |
|
1 |
1 |
1 |
0 |
1 |
0 |
Step 3:-
Find (B+C)´
|
A |
B |
C |
B + C |
(B+C)´ |
|
0 |
0 |
0 |
0 |
1 |
|
0 |
0 |
1 |
1 |
0 |
|
0 |
1 |
0 |
1 |
0 |
|
0 |
1 |
1 |
1 |
0 |
|
1 |
0 |
0 |
0 |
1 |
|
1 |
0 |
1 |
1 |
0 |
|
1 |
1 |
0 |
1 |
0 |
|
1 |
1 |
1 |
1 |
0 |
Step 4:-
Find (A. B)´⊕(B+C´)
| A | B | C | C´ | A. B | (A. B)´ | B+C´ | (A. B)´⊕(B+C´) |
|
0 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
|
0 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
|
0 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
|
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
|
1 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
|
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
|
1 |
1 |
0 |
1 |
1 |
0 |
1 |
1 |
|
1 |
1 |
1 |
0 |
1 |
0 |
1 |
1 |
Step 5:-
Find (A⊕ B). (B+C)
|
A |
B |
C |
A⊕ B |
B+C |
(A⊕ B). (B+C) |
|
0 |
0 |
0 |
0 |
0 |
0 |
|
0 |
0 |
1 |
0 |
1 |
0 |
|
0 |
1 |
0 |
1 |
1 |
1 |
|
0 |
1 |
1 |
1 |
1 |
1 |
|
1 |
0 |
0 |
1 |
0 |
0 |
|
1 |
0 |
1 |
1 |
1 |
1 |
|
1 |
1 |
0 |
0 |
1 |
0 |
|
1 |
1 |
1 |
0 |
1 |
0 |
So Final Result is
| Inputs | Output | Output | Output | Output |
Output |
||
| A | B | C | (A´. B´)´ | (A´+B)´ | (B+C)´ | (A. B)´⊕(B+C´) | (A⊕ B). (B+C) |
|
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
|
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
|
0 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
|
0 |
1 |
1 |
1 |
0 |
0 |
0 |
1 |
|
1 |
0 |
0 |
1 |
1 |
1 |
0 |
0 |
|
1 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
|
1 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
|
1 |
1 |
1 |
1 |
0 |
0 |
1 |
0 |
