Tank 16

A 2 byte floating point numbering system uses 10 places for the mantissa and 6 for the exponant. convert the number 0100000000111101 into decimal by filling in the following table.

This number is positive because:
the first digit is a 0

The mantissa(with the decimal place inserted) is:
0.100000000

The exponant is 111101 which os negitive because:
it begins with a 0

The denary equivalant is:
-3

The decimal place should move:
3 places to the left

The mantissa now looks like:
0.0001000000

removing the redunadant zeros gives:
0.0001

The final denary is :
0.0625