E-Lecture - The Base 10 System

People are using different number systems with different bases for different purposes. A base, (sometimes also called a radix) in math, is defined as the total count of digits used to express numbers in a number system. The most commonly and widely used bases are binary (Base-2) number system which uses two symbols 0 and 1, octal (Base-8) number system which uses eight symbols 0, 1, 2, 3, 4, 5, 6, 7 , decimal (Base-10) number system which uses ten symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 , and hexadecimal (Base-16) number system which uses sixteen symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F ). Apart from these, any numerical system can assume any base greater than or equal to two, like base-3 which uses three symbols 0, 1 and 2), base-4 which uses four symbols 0, 1, 2 and 3), base-5 which uses five symbols 0, 1, 2, 3, 4 and 5).