Digital Signal Processing 101

APPENDIX AQ Format Shift with FractionalMultiplication

Consider normal multiplication as follows:

In this example, there is no decimal point consideration because both numbers are integers.

Now look at the same number, but with a different decimal point arrangement:

How do we know where to place the decimal point if doing this multiplication by hand? One way is to use a sanity check such as 5 × 10 = 50, so the answer 53.248 obviously has the correct decimal point. But the way most of us learned in grade school was that the product should have the ...