Question
Download Solution PDFIn which of the following gates, the output is high if and only if all inputs are high?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFAND GATE
Symbol:
Truth Table:
|
Input A |
Input B |
Output Y = A.B |
|
0 |
0 |
0 |
|
0 |
1 |
0 |
|
1 |
0 |
0 |
|
1 |
1 |
1 |
Output Equation: Y = A.B
Key Point: The output is high only when both the inputs are high.
XOR GATE
Symbol:
Truth Table:
|
Input A |
Input B |
Output Y = A ⊕ B |
|
0 |
0 |
0 |
|
0 |
1 |
1 |
|
1 |
0 |
1 |
|
1 |
1 |
0 |
Output Equation:
\(Y = {\bf{A}} \oplus {\bf{B}} = \bar AB + A\bar B\)
Key Points:
1) If B is always High, the output is the inverted value of the other input A, i.e. A̅.
1) The output is low when both the inputs are the same.
2) The output is high when both the inputs are different.
NOT GATE:
Symbol:
Truth Table:
|
Input (A) |
Output (A̅) |
|
0 (Low) |
1 (High) |
|
1 (High) |
0 (low) |
Output Equation: Y = A̅
Key Points: The output of NOT gate is an invert of the input
OR GATE:
Symbol:
Truth Table:
|
Input A |
Input B |
Output Y = A + B |
|
0 |
0 |
0 |
|
0 |
1 |
1 |
|
1 |
0 |
1 |
|
1 |
1 |
1 |
Output Equation: Y = A + B
Key Points: The output is low only when both the inputs are low
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