De Morgan’s theorem - Laws and theorems of Boolean Algebra

IMPORTANT

De Morgan’s theorem - Laws and theorems of Boolean Algebra: Overview

This topic covers concepts, such as, Logic Gates, Truth Table in Logic Gates, Boolean Algebra, De Morgan's Theorem & Proof of De Morgan's Theorem Using Truth Tables etc.

Important Questions on De Morgan’s theorem - Laws and theorems of Boolean Algebra

EASY
IMPORTANT

The same input signal is applied to both the (input) terminals of a given logic gate.

If the output is the(i) same as the (common) input signal

(ii) inverted with respect to the (common) input signal,

Identify the logic gate/s involved in each case.
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HARD
IMPORTANT

In the given circuit, the input voltages at P and Q could be either 0 V or 10 V. Use the fact that a diode under forward bias is a short circuit, and under reverse bias is an open circuit. The truth table of the circuit will be that of

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EASY
IMPORTANT

To get output y=1 in given circuit, which of the following input will be correct?

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EASY
IMPORTANT

Which logic gate is represented by the following combination of logic gates?

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MEDIUM
IMPORTANT

Which logic gate with inputs A and B performs the same operation as that performed by the following circuit?

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EASY
IMPORTANT

The logic circuit shown below has the input waveforms A and B as shown in the figure. Pick out the correct output waveform.

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EASY
IMPORTANT

In the following combinations of logic gates, the output of A, B and C are respectively

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HARD
IMPORTANT

In the following combinations of logic gates, the outputs A, B and C are respectively :-

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EASY
IMPORTANT

In the following circuit, the output for Yall possible inputs A and B is expressed by the truth
table :-

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EASY
IMPORTANT

Derive the Boolean expression for the output for the gate circuit shown below in the figure.

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EASY
IMPORTANT

In the circuit A, B represents two inputs and C represents the output. Then which logic operation is represented by the circuit,

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EASY
IMPORTANT

Given X=(A¯+B¯) AB. Then the output column (X) in the truth table will be

A B X
0 0 ----
0 1 -----
1 0 -----
1 1 -------

 

MEDIUM
IMPORTANT

To get an output 1 from the circuit shown in the figure, the input must be

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MEDIUM
IMPORTANT

In the given circuit, the binary inputs at A and B are both 1 in one case and both 0 in the next case. The respective outputs at Y in these two cases will be

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