Number System and Representation

Number System 

Number system is a set of numerals for representing numbers 

Divided into : 

• Decimal Numbers (base10)
• Binary Numbers (base2)
• Hexadecimal Numbers (base16)

Decimal Numbers

• consists of numbers 0 - 9
• example : 1,2,3,4,5,6,7,8,9,10,11,12,...
• also known as the base 10 numbering system
• eg : 61510 = 615

Binary Numbers 

• computer uses the binary digit (bit) 0 and 1
• represents numeric values using two symbols 0 and 1
• example : 101010

Hexadecimal Numbers

• uses 16 symbols : 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E and F
• example : A2DB

Conversion between Number System

• Decimal to Binary
• Binary to Decimal
• Decimal to Hexadecimal  
• Hexadecimal to Decimal 
• Binary to Hexadecimal
• Hexadecimal to Binary