Number System

Solved Question Answers

1) What is number system? Write its types.

Ans: Number system is an organized and systematic way of representing numbers. In another term it can be defined as the set of values used to represent different quantities in computer system. 

        There are basically two different types of number system and they are Non-positional number system and Positional number system.

a) Non-positional number system:

    A non-positional number system is a number system in which different symbols are used in different positions and places. It does not make any positional significance on the value of the number system. The roman number system such as I, V, X, XII, etc are used to represent a non-positional number system. These types of number system are not understood by the computer as the computer understands only the binary digits i.e. 0 and 1.

b) Positional number system:

      A computer can understand a positional number system. A positional number system uses different symbols at different positions or places that makes the positional significance on the value of the number. Some of the examples of positional number system are listed below.

• Binary number system
• Quinary number system
• Octal number system
• Decimal number system
• Hexadecimal number system

2) What is binary number system?

Ans: The number system which has its base value as two is known as binary number system. There are two digits in binary number system and they are 0 and 1 where 0 represents False or OFF state and 1 represents TRUE or ON state.

3) What is decimal number system?

Ans: The number system which has its base value as ten is known as decimal number system. There are ten digits in decimal number system and they are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. 

4) What is quinary number system?

Ans: The number system which has its base value as five is known as quinary number system. There are five digits in quinary number system and they are 0, 1, 2, 3, and 4.

5) What is octal number system? 

Ans: The number system which has its base value as eight is known as octal number system. There are eight digits in octal number system and they are 0, 1, 2, 3, 4, 5, 6 and 7.

6) What is hexadecimal number system?

Ans: The number system which has its base value as sixteen is known as hexadecimal number system. There are sixteen digits in hexadecimal number system and they are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F.