3. Base conversions

Base conversions

There are two common approaches for base conversions:

• Subtraction: start from the largest bit and work your way downwards subtracing values as you go down the powers. (standard method)

• Divison-remainder: divide by $2$ each time, taking the remainder as the binary number.

  $$\begin{array}{rlr}25÷2& =12& r1\\ 12÷2& =6& r0\\ 6÷2& =3& r0\\ 3÷2& =1& r1\\ 1÷2& =0& r1\\ & & \\ \text{Result}& =11001_2& \end{array}$$

  This method allows us to easily convert to any base.