# Number System and its Conversion

## NUMBER SYSTEM

Number systems are the technique to represent numbers. You may have also seen some people telling it numeral system. It can be defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other numeral symbols.

Generally we study and talk about following four number systems. While there are many others too. Here we are discussing about

• Binary number system
• Octal number system
• Decimal number system

### A. BINARY NUMBER SYSTEM

A Binary number system has only two digits that are 0 and 1. Every number (value) represents with 0 and 1 in this number system. The base of binary number system is 2, because it has only two digits.

### B. OCTAL NUMBER SYSTEM

Octal number system has only eight (8) digits from 0 to 7. Every number (value) represents with 0,1,2,3,4,5,6 and 7 in this number system. The base of octal number system is 8, because it has only 8 digits.

### C. DECIMAL NUMBER SYSTEM

Decimal number system has only ten (10) digits from 0 to 9. Every number (value) represents with 0,1,2,3,4,5,6, 7,8 and 9 in this number system. The base of decimal number system is 10, because it has only 10 digits.