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.

Base One

1 = 1 10 = 2 100 = 3 1000 = 4

Base Two

1 = 1 10 = 2 100 = 4 1000 = 8

Base Three

1 = 1 10 = 3 100 = 9 1000 = 27

Base Four

1 = 1 10 = 4 100 = 16 1000 = 64

Base Five

1 = 1 10 = 5 100 = 25 1000 = 125

Base Six

1 = 1 10 = 6 100 = 36 1000 = 216

Base Seven

1 = 1 10 = 7 100 = 49 1000 = 343

Base Eight

1 = 1 10 = 8 100 = 64 1000 = 512

Base Nine

1 = 1 10 = 9 100 = 81 1000 = 729

Base Ten

1 = 1 10 = 10 100 = 100 1000 = 1000