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Question
Write the truth table for the circuit shown in figure. Name the gate that the circuit resembles.
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Solution
This is ‘AND’ Gate and its characteristics are as follows:
(1) It has two inputs (A and B) and only one output (Y).
(2) Boolean expression us Y = A·B is read as "Y equals A AND B".
(3) Realization of AND gate
Logical symbol of AND gate
(i) A = 0, 8 = 0
The voltage supply through R is forward biasing diodes D1 and D2 (offers low resistance), the voltage V would drop across R. The output voltage at Y = the voltage across diode = 0
(ii) A = 0, B = 1
D1 = Conducts, D2 = Not Conducts
The out voltage at Y = The voltage across the diode (D1) = 0
(iii) A = 1, B = 0
D1 = Conducts, D2 = Not conducts
The out voltage at Y = The voltage across the diode (D2) = 0
(iv) A = 1, B = 1
None of the diode conducts
The out voltage at Y = Battery voltage = 1
(4) Truth table for ‘AND’ gate
| A | B | V0 = A · B |
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
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