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प्रश्न
You are given two circuits as shown in following figure, which consist of NAND gates. Identify the logic operation carried out by the two circuits.
(a)

(b)

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उत्तर
In both the given circuits, A and B are the inputs and Y is the output.
a) The output of the left NAND gate will be `bar("A"."B")`, as shown in the following figure.

Hence, the output of the combination of the two NAND gates is given as:
`"Y" = bar((bar("A.B")).(bar("A.B")))= bar(bar("AB")) + bar(bar("AB")) = "AB"`
Hence, this circuit functions as an AND gate.
(b) `bar"A"` is the output of the upper left of the NAND gate and `bar"B"` is the output of the lower half of the NAND gate, as shown in the following figure.

Hence, the output of the combination of the NAND gates will be given as:
`"Y" = bar"A".bar"B" = bar(bar"A") + bar(bar"B") = "A"+"B"`
Hence, this circuit functions as an OR 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
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 |
Answer the following question :
Distinguish between digital and analogue signals.
The following figure shows the input waveforms (A, B) and the output waveform (Y) of a gate. Identify the gate, write its truth table and draw its logic symbol.

What will be the values of input A and B for the Boolean expression `overline ((A +B) .(A*B)) =1?`
Name the logic gate which generated high output when at least one input is high.
An AND gate can be prepared by repetitive use of
(a) NOT gate
(b) OR gate
(c) NAND gate
(d) NOR gate.
Let \[X = A \overline{ BC} + B\overline{ CA} + C\overline{AB } .\] Evaluate X for A = 1, B = 0, C = 1.
Let \[X = A \overline{ BC} + B\overline{ CA} + C\overline{AB } .\] Evaluate X for A = B = C = 0.
Design a logical circuit using AND, OR and NOT gates to evaluate \[A \overline { BC } + B \overline{ CA }\] .
Show that \[AB + \overline {AB }\] is always 1.
The amplification factor of a triode operating in the linear region depends strongly on ____________ .
Why are NOR gates considered as universal gates?
NAND and NOR gates are called universal gates primarily because they ______.
The current obtained from a simple filterless rectifier is
For the given circuit, the input digital signals are applied at terminals A, B, and C. What would be the output at terminal y?


In the logic circuit shown in the figure, if input A and B are 0 to 1 respectively, the output at Y would be 'x'. The value of x is ______.

Identify the logic operation carried out by the given circuit:

Which of the following gives a reversible operation?
