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

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

Positive

Both A and B

Negative

None

2 / 43

Which is the least significant digit of 1234?

3 / 43

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

The complement of the sum

None

The sum of their individual complements

The product of their individual complements

4 / 43

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

5 / 43

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

None

Input

Logic expression

Result

6 / 43

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

7 / 43

NAND gate means

AND gate followed by an inverter

AND gate followed by an OR gates

Inversion followed AND gate

None

8 / 43

The output of two input OR gage is high

If at least one of the inputs is high

Only if both inputs are high

Only if both inputs are low

Only if one input is high and the other is low

9 / 43

An XOR gate gives a high output

All of the option

If there are even numbers of 1s in the input

Complement of OR gate

If there are odd numbers of 1s in the input

10 / 43

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

11 / 43

Which of the following is the Commutative Law of Boolean Algebra

A+B=B+A

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

A+(A.B)=A

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

12 / 43

Which of the following is not a positional number system?

Octal number system

Decimal number system

Roman number system

Binary number system

13 / 43

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

1234

1011

0110

0101

14 / 43

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

None

The product of their individual complements

The sum of their individual complements

The complement of the sum

15 / 43

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

George Boole

Earle Dickson

Mary Anderson

Acharya Kanad

16 / 43

Which of the following is Idempotent Law of Boolean Algebra?

A+A'=1

A+1=1

A+A=A

A+0=A

17 / 43

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

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

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

A+(A.B)=A

(A')'=A

18 / 43

Two inputs Exclusive NOR gate gives high output

When one input is high and the other is low

When the both the inputs are same

Only when the both the inputs are low

Only when both the inputs are high

19 / 43

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

A+(A.B)=A

(A')'=A

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

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

20 / 43

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

XOR

NOT

AND

21 / 43

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

High

None

Low

Medium

22 / 43

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

A+1=1

A+A=A

A+0=A

A+A'=1

23 / 43

The output of two input NAND gate is high

If at least one of the inputs is low

Only if one inputs is high and the is low

Only if both the inputs are high

Only if both the inputs are low

24 / 43

Boolean algebra can be used to

Simplify any algebraic expression

Solve the equations

Perform arithmetic equations

None

25 / 43

The base value of decimal number system is _____.

26 / 43

Which of the following is universal gate?

NAND

AND

NOT

27 / 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

28 / 43

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

A+(A.B)=A

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

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

A+B=B+A

29 / 43

An XNOR gate gives a high output

Inverter followed by an XOR gate

Exclusive OR gate followed by an inverter

Complement of a NOR gate

NOT gate followed by an exclusive XOR gates

30 / 43

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

NOT

NOR

XOR

None

31 / 43

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

A+(A.B)=A

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

A+B=B+A

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

32 / 43

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

A+

A-

33 / 43

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

XOR

NOT

AND

34 / 43

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

A+1=1

A+A'=1

A+A=A

A+0=A

35 / 43

Base of number is also called as ________.

Root

Entity

Medium

Radix

36 / 43

The value of radix of hexadecimal number system is _______.

37 / 43

Which of the following is valid in Boolean algebra?

Both A+A=2A and A+A

A+A=2A

None

A+A=A

38 / 43

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

39 / 43

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

Exclusive OR gate

NAND gate

Exclusive NOR gate

NOR gate

40 / 43

A basic AND gate consists of ______ inputs and an output

One

Two

Four

Three

41 / 43

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

A+1=1

A+0=A

A+A=A

A+A'=1

42 / 43

The output of a two input AND gate is high

Only if both the inputs are low

If at least one of the inputs is low

Only if one inputs is high and the is low

Only if both the inputs are high

43 / 43

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

C++

None Of The Option

Machine level

Your score is

The average score is 63%

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