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प्रश्न
You are given the two circuits as shown in following figure. Show that circuit
- acts as OR gate while the circuit
- acts as AND gate.
(a)
(b)
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उत्तर
(a) A and B are the inputs and Y is the output of the given circuit. The left half of the given figure acts as the NOR Gate, while the right half acts as the NOT Gate. This is shown in the following figure.
Hence, the output of the NOR Gate = `bar("A+B")`
This will be the input for the NOT Gate. Its output will be `bar(bar ("A + B"))` = A + B
∴ Y = A + B
Hence, this circuit functions as an OR Gate.
(b) A and B are the inputs and Y is the output of the given circuit. It can be observed from the following figure that the inputs of the right half NOR Gate are the outputs of the two NOT Gates
Hence, the output of the given circuit can be written as:
`Y = bar(bar"A" + bar"B")` = `bar(bar("A")). bar(bar"B")` = A.B
Hence, this circuit functions as an AND Gate.
संबंधित प्रश्न
The logic gate which produces LOW output when one of the input is HIGH and produces
HIGH output only when all of its inputs are LOW is called _______.
(A) AND gate
(B) OR gate
(C) NOR gate
(D) NAND gate
Write the truth table for a NAND gate connected as given in the following figure.
Hence identify the exact logic operation carried out by this circuit
Write the truth table for circuit given in figure below consisting of NOR gates and identify the logic operation (OR, AND, NOT) which this circuit is performing.
(Hint: A = 0, B = 1 then A and B inputs of second NOR gate will be 0 and hence Y=1. Similarly work out the values of Y for other combinations of A and B. Compare with the truth table of OR, AND, NOT gates and find the correct one.)
The arrangement given below represents a logic gate :
Copy the following truth table in your answer booklet and complete it showing outputs at C
and D.
| A | B | C | D |
| 0 | 0 | ||
| 1 | 0 | ||
| 0 | 1 | ||
| 1 | 0 |
Draw logic symbol of an OR gate and write its truth table.
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(a) NOT gate
(b) OR gate
(c) NAND gate
(d) NOR gate.
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(ii) Write the truth table for the circuit.
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