Programming Club - Tutorials - MATH - Basics

Arithmetic

Counting

In mathematical problems, there is a difference between the way you count numbers and values. In simple base 10 math, the methods appear to be the same; However, if you intend to use an alternative base for your mathematical problems, you can immediately see the difference.

A numerical representation for a value, is divided into exponents according to it's base. For example, in base 10 math, the digits representing values are read from right to left as ones, tens, hundreds, thousands, etc. - which are all multiples of 10.

In base two math, they read from right to left as ones, twos, fours, eights. Similarly, base three math reads ones, threes, nines, twenty-sevens, etc.

1 = 110 = 2100 = 31000 = 4 </td> 1 = 110 = 2100 = 41000 = 81 = 110 = 3100 = 91000 = 271 = 110 = 4100 = 161000 = 641 = 110 = 5100 = 251000 = 1251 = 110 = 6100 = 361000 = 2161 = 110 = 7100 = 491000 = 3431 = 110 = 8100 = 641000 = 5121 = 110 = 9100 = 811000 = 7291 = 110 = 10100 = 1001000 = 1000 </tr>

Base One
Base Two
Base Three
Base Four
Base Five
Base Six
	Base Seven
	Base Eight
	Base Nine
Base Ten