Task 11

Task 11 - A one-byte floating-point numbering system uses 5 places for the mantissa and 3 for the exponent. Convert the number 01110111 into decimal by filling in the following table.

The number is positive, i know that because:
It begins with a zero

The mantissa is:
01110

The exponent is 111 which is negative because:
Begins with a 1

The denary equivalent of 111 is:
-1

The decimal place in the mantissa must be moved LEFT/RIGHT because:
Left because -x moves left and +x moves right

The mantissa now looks like this:
0.0111

Removing redundant zeros, the mantissa now looks like this:
0.0111

The final denary answer is:
1/28 OR 0.4375