हिंदी
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Introduction to Number Systems

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Introduction to Number System

A number system is an ordered set of symbols with rules for arithmetic operations and conversions. Every number system has a set of unique characters or literals. The four different number systems are binary, decimal, octal, and hexadecimal. This is essential in digital electronics number systems; it allows the representation and manipulation of positive, negative, integer, and fractional numbers.

Binary System 

There are only two digits in the binary system, namely, 0 and 1. Binary number system, where bi-means two, and two symbols are used as '0' and '1'. It uses basic ten symbols or numbers from 0 to 9 but in digital circuits. The base or radix of a binary number system is two. A binary digit '0' or '1' is called a bit. Four bits form a nibble, and eight bits form a byte. We deal in larger units called kilobyte, megabyte, and gigabyte. 

Decimal number system 

The decimal number system is used in our day-to-day 
Life has a base of 10 with digits 0-9. A number is presented by its two values symbol value (any digit from 0 to 9) and positional value (in terms of base value). Decimal numbers must be converted to binary to be represented in computer systems.
 

Octal number system 

The octal number system is called the base-8 system as it has a total of eight digits (0–7). Decimal numbers 0 to 7 match octal, but decimal 8 is octal 10. Octal numbers are easily converted to binary, with each octal digit represented by a three-bit binary number. 

Hexadecimal number system 

The hexadecimal number system It consists of 16 unique symbols (0–9, A–F) and is called the base 16 system. Hexadecimal numbers are widely used in microprocessor work and can be easily converted to binary, with each hex digit represented by a four-bit binary number. 

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