The excercise :

The following exercise will handle binary (Radix 2) fixed-point numbers.

Should numbers not fit (i.e. too many decimal places) 'Round To Nearest Even' should be used.

**b) **Encode 2.544921875 as a binary fixed point number with 5 decimal places.

I`m not really sure how to convert it into a fixpoint number,

My approch:

2.544921875 * 2^{5} = 81,4375 and then I have rounded the number to the nearest even : 82 and converted it back to binary 01010010. But the auto correction said the answer is wrong.

Should I round to 81,438? When yes how do I represent that number in binary