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 1's complement of 1010?

1011

0101

0110

1234

2 / 43

Which of the following is not a positional number system?

Roman number system

Octal number system

Binary number system

Decimal number system

3 / 43

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

The complement of the sum

The product of their individual complements

None

The sum of their individual complements

4 / 43

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

None

Low

Medium

High

5 / 43

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

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

A+B=B+A

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

A+(A.B)=A

6 / 43

A basic AND gate consists of ______ inputs and an output

One

Two

Three

Four

7 / 43

The value of radix of hexadecimal number system is _______.

8 / 43

Which of the following is universal gate?

AND

NAND

NOT

9 / 43

Which of the following is the Commutative Law of Boolean Algebra

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

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

A+(A.B)=A

A+B=B+A

10 / 43

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

None

NOT

XOR

NOR

11 / 43

Base of number is also called as ________.

Medium

Radix

Root

Entity

12 / 43

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

Earle Dickson

Acharya Kanad

George Boole

Mary Anderson

13 / 43

Boolean algebra can be used to

None

Simplify any algebraic expression

Solve the equations

Perform arithmetic equations

14 / 43

Which of the following is the Absorption 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

15 / 43

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

Both A and B

None

Positive

Negative

16 / 43

The base value of decimal number system is _____.

17 / 43

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

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

(A')'=A

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

A+(A.B)=A

18 / 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

None

The complement of the sum

The product of their individual complements

19 / 43

The output of a two input AND gate is high

Only if one inputs is high and the is low

Only if both the inputs are high

If at least one of the inputs is low

Only if both the inputs are low

20 / 43

An XNOR gate gives a high output

Inverter followed by an XOR gate

NOT gate followed by an exclusive XOR gates

Complement of a NOR gate

Exclusive OR gate followed by an inverter

21 / 43

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

22 / 43

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

23 / 43

Which is the least significant digit of 1234?

24 / 43

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

A+A'=1

A+0=A

A+1=1

A+A=A

25 / 43

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

A-

A+

26 / 43

NAND gate means

AND gate followed by an inverter

Inversion followed AND gate

None

AND gate followed by an OR gates

27 / 43

The output of two input NAND gate is high

Only if one inputs is high and the is low

Only if both the inputs are high

If at least one of the inputs is low

Only if both the inputs are low

28 / 43

Two inputs Exclusive NOR gate gives high output

Only when both the inputs are high

When the both the inputs are same

When one input is high and the other is low

Only when the both the inputs are low

29 / 43

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

XOR

AND

NOT

30 / 43

Which of the following is Idempotent Law of Boolean Algebra?

A+0=A

A+A'=1

A+A=A

A+1=1

31 / 43

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

C++

Machine level

None Of The Option

32 / 43

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

33 / 43

The output of two input OR gage is high

If at least one of the inputs is high

Only if both inputs are low

Only if both inputs are high

Only if one input is high and the other is low

34 / 43

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

NOT

XOR

AND

35 / 43

An XOR gate gives a high output

All of the option

If there are even numbers of 1s in the input

If there are odd numbers of 1s in the input

Complement of OR gate

36 / 43

Which of the following is valid in Boolean algebra?

None

Both A+A=2A and A+A

A+A=A

A+A=2A

37 / 43

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

38 / 43

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

A+A'=1

A+0=A

A+1=1

A+A=A

39 / 43

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

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

A+B=B+A

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

A+(A.B)=A

40 / 43

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

Input

Result

None

Logic expression

41 / 43

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

Exclusive OR gate

Exclusive NOR gate

NAND gate

NOR gate

42 / 43

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

A+A'=1

A+1=1

A+A=A

A+0=A

43 / 43

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

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

A+(A.B)=A

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

(A')'=A

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