Number System Concept: Best Explantation for Maths Exam Revision

BY Team Aakash Byjus

Every number has a unique representation in the number system representing the arithmetic and algebraic structure.

We can also perform arithmetic operations like addition, subtraction, and division with it.

Number System Types The most popular number systems among different types of systems are :

1.Decimal number system with Base- 10. 2.Binary number system with Base- 2. 3. Octal number system with Base-8. 4.Hexadecimal number system with Base- 16.

Decimal Number System:

This system uses only ten digits from 0 to 9 to represent any number, so it is called base 10.

In this system, number positions successive to the left of the decimal point represent units, tens, hundreds, thousands, etc.

This system is expressed in 0 to 9 numbers only, which means base (10).

Number System Example:

The Number 1475 consists of the digit 5 in the units position, 7  in the tens place, 4 in the hundreds position, and 1 in the thousands place whose value can be written as:

Binary System:

Only two binary digits exist, i.e., 0 and 1, and base 2.

This system uses a combination of only two numbers, 0 and 1 hence referred to as a binary system. For example, 1100011 is a binary number.

For example, 1100011 is a binary number.

Octal Number System:

The system with the base as 8 that uses numbers from 0 to 7 is the octal system.

Octal numbers are prominently used in computer applications. ·Conversion of the octal number is similar to that of decimal number conversion.

Hexadecimal System:

Numbers are represented with base 16

In this system, the numbers are first represented in the same way as the decimal system, i.e. from 0 to 9. Then, the remaining 6 numbers are represented with alphabets  from A to F.

Examples: -15D, 26A.

Hope this helps.  All the best.