Converting Denary (decimals) to Binary - Integers and decimal - fixed point

Example exam question:

"Represent the denary value 7.625 as an unsigned binary fixed point number, with 4 bits before and 4 bits after the binary point."

This looks intimidating, but it's really not very complicated once you understand the method.

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In order to convert this, we also need to know how how the distance of a digit from the decimal point affects it's value in binary

In base 10 (denary) numbers, each digit of space between the decimal point and a digit increases/decreases it's value by a factor of 10.

eg: 

1000  100  10  1  .  1/10  1/100 1/1000

1    …