Q Number Notation
A Q number is written in the form Qm.n where n is the power of 2 used to multiply the number by and m is the unsigned integer size of the integer portion
Q1.1
\[
\underbrace{1}_{\text{integer portion}} \quad
\underbrace{0}_{\text{fractional portion}}
\]
Q8.4
\[
\underbrace{00000001}_{\text{whole number portion}} \quad
\underbrace{0000}_{\text{fractional portion}}
\]
Q4.8
\[
\underbrace{0001}_{\text{whole number portion}} \quad
\underbrace{00000000}_{\text{fractional portion}}
\]
bits to the right of the decimal represent fractional powers of two:
\[
\begin{array}{ccccccccc}
\cdots & 1 & 1 & 1 & 1 & . & 1 & 1 & 1 & 1 & \cdots \\
\cdots & 8 & 4 & 2 & 1 & . & \frac{1}{2} & \frac{1}{4} & \frac{1}{8} & \frac{1}{16} & \cdots
\end{array}
\]