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Binary Number System – Questions and Answers | Decimal Conversion Practice

Binary Number Questions

Binary Number System Questions of computer awareness topic is given here. Along with Binary Number Questions, candidates can do practice of Binary to Decimal Conversion Questions and Answers, as these conversion type questions are generally asked in various competitive examination.

Answers of Binary Number Questions is well mentioned at the last section of this page. Candidates needs to choose the correct option from the given list of choices and after that they can match their selected choice from the answer table. Candidates are advised to do practice from these given important and selected Binary Number System Questions before appearing for the actual test.

Binary Number Questions

Binary Number System Questions and Answers with Explanation:

Question 1: Which of the following is not a positional number system?

  1. Roman Number System
  2. Octal Number System
  3. Binary Number System
  4. Hexadecimal Number System

Answer: 1

Explanation: Check below

  • The Roman number system isn’t a positional number system since it uses symbols to represent numbers.
  • The octal number system uses digits from 0-7, the binary number system uses digits from 0-1 whereas, the hexadecimal number system uses digits from 0-15.

Question 2: The value of radix in binary number system is _____________

  1. 2
  2. 8
  3. 10
  4. 1

Answer: 1

Explanation: In a binary number system, the value of base or radix is 2. The binary system uses only two digits for the representation of numbers; therefore its base id has chosen to be 2.

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Question 3: The binary equivalent of the decimal number 10 is __________

  1. 0010
  2. 10
  3. 1010
  4. 010

Answer: 3

Explanation: To get the binary equivalent of any number, we need to divide the number by 2 and obtain the remainders as:

10/2=5  rem=0

5/2=2   rem=1

2/2=1   rem=0

1/2=0   rem=1

We then write the remainders in the reverse order (from bottom to top) as 1010.

Question 4: A computer language that is written in binary codes only is _____

  1. machine language
  2. C
  3. C#
  4. pascal

Answer: 1

Explanation: Machine Language is written in binary codes only. It can be easily understood by the computer and is very difficult for us to understand. A machine language, unlike other languages, requires no translators or interpreters.

Question 5: The octal equivalent of 1100101.001010 is ______

  1. 12
  2. 12
  3. 12
  4. 21

Answer: 2

Explanation: The octal equivalent is obtained by grouping the numbers into three, from right to left before decimal and from right to left after the decimal place.


1 100 101. 001 010

1   4   5 .  1   2

i.e. 145.12 is the octal equivalent of the number.

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Question 6: The input hexadecimal representation of 1110 is _______________

  1. 0111
  2. E
  3. 15
  4. 14

Answer: 2

Explanation: In hexadecimal number system, 1110 = 15, which is represented by the alphabet E.

Some representations are:

  1. 10
  2. 11
  3. 12
  4. 13
  5. 14
  6. 15

Question 7: A bit in a computer terminology means either 0 or 1.

  1. True
  2. False

Answer: 1

Explanation: A bit stands for a binary digit. A binary digit can have only two digits i.e. 0 or 1. A binary number consisting of n-bits is called an n-bit number.

Question 8: Convert the binary equivalent 10101 to its decimal equivalent.

  1. 21
  2. 12
  3. 22
  4. 31

Answer: 1

Explanation: To convert a binary number to its decimal equivalent follow these steps :

24 * 1 + 23 * 0 + 22 *1 + 21 * 0 + 20 * 1 = 21.

Therefore, the answer is 21.

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Question 9: Which of the following is not a binary number?

  1. 1111
  2. 101
  3. 11E
  4. 000

Answer: 3

Explanation: A binary number can have only two possible digits, 0 and 1. In the third option, there is an alphabet E present which makes it an invalid binary number. Alphabets are only allowed in the hexadecimal number system.

Question 10: Which of the following is the correct representation of a binary number?

  1. (124)2
  2. 1110
  3. (110)2
  4. (000)2

Answer: 4

Explanation: The binary numbers should comprise only two digits 0 and 1.

Also, for the base, the value should be 2 and it should be written as a subscript enclosing the entire number. Here, the fourth option gives the correct representation.

Question 11: The value radix in binary number system is ___________

  1. 1111
  2. 101
  3. 11E
  4. 000​

Answer: 2

Explanation: Radix for bi ary number system is 2 because there are only two digit two represent a binary number.

For example: in decimal number system radix is 10 because there are 10 digit ( 0 to 9 ) to represent a decimal number.

Frequently Asked Questions – FAQs

Question 1: What is a binary number system?

Answer: A number system where a number is represented by using only two digits (0 and 1) with a base 2 is called a binary number system. For example, 10012 is a binary number.

Question 2: What is a bit?

Answer: A bit is a single digit in the binary number. For example, 101 is three-bit binary numbers, where 1, 0 and 1 are the bits.

Question 3: How to convert a decimal number into a binary number? Give an example.

Answer: To convert a decimal number into its equivalent binary number, we divide the decimal number by 2 each time, till we get 0 as a dividend. Let us take an example to convert 1310 into a binary number.
13 ÷ 2: 6 and remainder 1
6 ÷ 2: 3 and remainder 0
3 ÷ 2: 1 and remainder 1
1 ÷ 2: 0 and remainder 1
Now we take the bits from the last remainder to first remainder, i.e.(MSB to LSB). Hence,
1310 = 11012

Question 4: What is the use of binary numbers?

Answer: Binary numbers are commonly used in computer architecture. Since the computer understands only the language of two digits 0’s and 1’s, therefore the programming is done using a binary number system.

Question 5: What is the value of 163 in binary?

Answer: The value of 163 in binary is 10100011.

Question 6: How is 200 represented in binary?

Answer: 200 is the decimal number. The binary form of 200 is 110010002.

Final Words:

Binary Number Questions and Answers of computer fundamentals is available on this page of We hope that the Binary Decimal Conversion Questions provided here will be useful for candidates that are preparing for various entrance/competitive exams.

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