Test Your Knowledge! MCQ of Number System

The history of number and number system started from the ancient time before the invention of any counting devices that had been made in the history of computer. The most commonly used number system is decimal number system which was invented by Hindu Philosophers.

Here are the MCQ challenge questions. Check your knowledge about Number System and Boolean Logic.

MCQ Number System

1 / 43

Which of the following is the Absorption Law of Boolean Algebra?

A+B=B+A

(A+B)+C=A+(B+C)

A+(A.B)=A

A.(B+c)=A.B+A.C

2 / 43

Which of the following is the 1's complement of 1010?

1234

1011

0101

0110

3 / 43

An XNOR gate gives a high output

Exclusive OR gate followed by an inverter

Complement of a NOR gate

Inverter followed by an XOR gate

NOT gate followed by an exclusive XOR gates

4 / 43

According to De Morgan's theorems, the complement of the product of the Boolean Variables is equal to

The sum of their individual complements

The complement of the sum

None

The product of their individual complements

5 / 43

The output of two input NAND gate is high

Only if both the inputs are low

If at least one of the inputs is low

Only if both the inputs are high

Only if one inputs is high and the is low

6 / 43

Symbol: F=A+B, where '+' Implies ____ operation.

XOR

AND

NOT

7 / 43

The base value of decimal number system is _____.

8 / 43

The output of two input OR gage is high

Only if both inputs are high

If at least one of the inputs is high

Only if one input is high and the other is low

Only if both inputs are low

9 / 43

Which of the following is the Distributive Law of Boolean Algebra?

(A+B)+C=A+(B+C)

A+(A.B)=A

A.(B+c)=A.B+A.C

A+B=B+A

10 / 43

Which of the following is the Identity Law of Boolean Algebra?

A+A=A

A+1=1

A+0=A

A+A'=1

11 / 43

Which of the following is the Commutative Law of Boolean Algebra

(A+B)+C=A+(B+C)

A.(B+c)=A.B+A.C

A+(A.B)=A

A+B=B+A

12 / 43

2's complement is used to represent signed integers, especially ____ integers.

None

Negative

Positive

Both A and B

13 / 43

When of the inputs of two-input a XOR gate is Logic High, the output will be _____ of the other input.

None

NOR

XOR

NOT

14 / 43

The maximum number of bits sufficient to represent hexadecimal number in binary is ______.

15 / 43

Boolean algebra is named after ______, who used it to study human logical reasoning

Mary Anderson

Acharya Kanad

Earle Dickson

George Boole

16 / 43

Boolean algebra can be used to

Perform arithmetic equations

Solve the equations

None

Simplify any algebraic expression

17 / 43

Which of the following is universal gate?

NOT

NAND

AND

18 / 43

Which of the following is valid in Boolean algebra?

A+A=2A

Both A+A=2A and A+A

A+A=A

None

19 / 43

Symbol: F=A.B, where '.' Implies ____ operation.

AND

XOR

NOT

20 / 43

According to De Morgans theorems, the complement of the sum of the Boolean Variables are equal to

The sum of their individual complements

The product of their individual complements

The complement of the sum

None

21 / 43

A computer language that is written in binary codes only is called _____.

None Of The Option

C++

Machine level

22 / 43

Base of number is also called as ________.

Radix

Root

Medium

Entity

23 / 43

A basic AND gate consists of ______ inputs and an output

Four

One

Three

Two

24 / 43

Which of the following is the Roundedness Law of Boolean Algebra?

A+A'=1

A+A=A

A+0=A

A+1=1

25 / 43

The logic expression A.B'+A'B is given by _____ gates.

NOR gate

Exclusive NOR gate

Exclusive OR gate

NAND gate

26 / 43

Which of the following is the Involution Law of Boolean Algebra?

(A')'=A

A.(B+c)=A.B+A.C

(A+B)+C=A+(B+C)

A+(A.B)=A

27 / 43

Two inputs Exclusive NOR gate gives high output

Only when both the inputs are high

Only when the both the inputs are low

When one input is high and the other is low

When the both the inputs are same

28 / 43

Which of the following is Idempotent Law of Boolean Algebra?

A+1=1

A+A'=1

A+0=A

A+A=A

29 / 43

The maximum number of bits sufficient to represent an octal number is binary is _____.

30 / 43

Which is the least significant digit of 1234?

31 / 43

The output of a two input AND gate is high

Only if both the inputs are high

Only if one inputs is high and the is low

If at least one of the inputs is low

Only if both the inputs are low

32 / 43

In the AND gate, the output is high only if both the inputs are

High

Low

None

Medium

33 / 43

Which of the following is the Associative Law of Boolean Algebra?

A+B=B+A

A+(A.B)=A

A.(B+c)=A.B+A.C

(A+B)+C=A+(B+C)

34 / 43

NAND gate means

AND gate followed by an OR gates

AND gate followed by an inverter

Inversion followed AND gate

None

35 / 43

What does the symbol A represent in a hexadecimal number system?

36 / 43

When a logic circuit diagram is given, you can analyze the circuit to obtain the _____.

Input

None

Logic expression

Result

37 / 43

An XOR gate gives a high output

All of the option

If there are odd numbers of 1s in the input

If there are even numbers of 1s in the input

Complement of OR gate

38 / 43

Which of the following is the Complement Law of Boolean Algrebra?

A+1=1

A+A'=1

A+A=A

A+0=A

39 / 43

Which of the De Morgan's Law of Boolean Algebra?

(A')'=A

(A+B)+C=A+(B+C)

A+(A.B)=A

(A+B)'=A'.B'

40 / 43

Which of the following is not a positional number system?

Binary number system

Decimal number system

Octal number system

Roman number system

41 / 43

If an input A is given to an inverter, the output will be

A+

A-

42 / 43

The value of radix of hexadecimal number system is _______.

43 / 43

The binary equivalent of 10101 to its decimal equivalent is ____.

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The average score is 65%

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