# Computer Fundamentals Questions and Answers – The Binary Number System

This set of Computer Fundamentals Multiple Choice Questions & Answers (MCQs) focuses on “The Binary Number System”.

1. Which of the following is not a positional number system?
a) Roman Number System
b) Octal Number System
c) Binary Number System

Explanation: 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.

2. The value of radix in binary number system is _____________
a) 2
b) 8
c) 10
d) 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.

3. The binary equivalent of the decimal number 10 is __________
a) 0010
b) 10
c) 1010
d) 010

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

We then write the remainders in the reverse order as 1010 .

4. A computer language that is written in binary codes only is _____
a) machine language
b) C
c) C#
d) pascal

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.

5. The octal equivalent of 1100101.001010 is ______
a) 624.12
b) 145.12
c) 154.12
d) 145.21

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.
Here,

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

6. The input hexadecimal representation of 1110 is _______________
a) 0111
b) E
c) 15
d) 14

Explanation: In hexadecimal number system, 1110 = 15, which is represented by the alphabet E.
Some representations are:
A 10
B 11
C 12
D 13
E 14
F 15.

7. A bit in a computer terminology means either 0 or 1.
a) True
b) False

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.

8. Convert the binary equivalent 10101 to its decimal equivalent.
a) 21
b) 12
c) 22
d) 31

Explanation: To convert a binary number to its decimal equivalent follow these steps :
24 * 1 + 23 * 0 + 22 *1 + 21 * 0 + 20 * 1 = 21.

9. Which of the following is not a binary number?
a) 1111
b) 101
c) 11E
d) 000

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.

10. Which of the following is the correct representation of a binary number?
a) (124)2
b) 1110
c) (110)2
d) (000)2

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.

Sanfoundry Global Education & Learning Series – Computer Fundamentals.

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