Numeral system

Binary

Decimal

/2 = 0.5

1/20 = 0.05

1/5 = 0.2

1/50 = 0.02

1/4 = 0.25

1/40 = 0.025

1/25 = 0.04

1/8 = 0.125

1/125= 0.008

1/10 = 0.1

1/3 = 0.333333… (with 3 repeating)

1/9 = 0.111111… (with 1 repeating)

100-1=99=9×11

1/11 = 0.090909… (with 09 repeating)

1000-1=9×111=27×37

1/27 = 0.037037037…

1/37 = 0.027027027…

1/111 = 0 .009009009…

also:

1/81= 0.012345679012… (with 012345679 repeating)

Hexadecimal

Octal

For example, to convert 125₁₀ to octal:

125 / 8^2 = 1

125 − ((8^2)*1) = 61

61 / 8^1 = 7

61 − ((8^1)*7) = 5

Thus: 125₁₀ = 175₈

Another example:

900 / 8^3 = 1

900 − ((8^3)*1) = 388

388 / 8^2 = 6

388 − ((8^2)*6) = 4

4 / 8^1 = 0

4 − ((8^1)*0) = 4

4 / 8^0 = 4

Thus: 900₁₀ = 1604₈