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Base 2, also known as "binary", is a commonly used base. The [[Binary system]] is the simplest numeric system since there are only two digits: 0 and 1. These digits are referred to as bits (from "Binary digITs"). Adding 1 to 1 gives 0 with a carry. Subtracting 1 from 0 gives 1 with a borrow.  In all bases, the least significant column is the "ones column". In Binary, the next column to the left is the "twos column", and the next is the "fours column". Just as each column to the left in decimal increases in value by 10 times, and each column to the left in octal increases in value by 8 times, each column to the left in binary increases in value by 2 times.  

Base 2, also known as "binary", is a commonly used base. The [[Binary system]] is the simplest numeric system since there are only two digits: 0 and 1. These digits are referred to as bits (from "Binary digITs"). Adding 1 to 1 gives 0 with a carry. Subtracting 1 from 0 gives 1 with a borrow.  In all bases, the least significant column is the "ones column". In Binary, the next column to the left is the "twos column", and the next is the "fours column". Just as each column to the left in decimal increases in value by 10 times, and each column to the left in octal increases in value by 8 times, each column to the left in binary increases in value by 2 times.  

For bases larger than 10, letters are used as additional digits beyond 9.  In the hexadecimal system (base 16) the valid digits (sometimes digits are called "hexits" in hexadecimal) are 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E, and F. For example, if 1 is added to 9, the result is "A". Adding 1 to A gives "B". And so on, up to F. Adding 1 to F gives us 0 with a carry.

For bases larger than 10, letters are used as additional digits beyond 9.  In the [[Hexadecimal|hexadecimal system]] (base 16) the valid digits (sometimes digits are called "hexits" in hexadecimal) are 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E, and F. For example, if 1 is added to 9, the result is "A". Adding 1 to A gives "B". And so on, up to F. Adding 1 to F gives us 0 with a carry.

Every value in any base has a equivalent value in another base, but the actual digits for the value will be different, in most cases, in each base. To illustrate, the following values are all the same.

Every value in any base has a equivalent value in another base, but the actual digits for the value will be different, in most cases, in each base. To illustrate, the following values are all the same.