Thursday, October 4, 2007

Task 20

aonebyte floating poimt numbering system ses 5 places of the mantissa and 3 places for the exponant. COnvert the number 10011111 into decimal by filling in the following table.

This number is negitive because:
The first digits begin with 10

The mantissa (with the decimal place inserted) is:
1.0011

The mantissa converted into a negitive binary number that is not in 2s compliment is:
0.1101

The exponant is:
111 = -3

The mantissa now becomes:
0.0001101

Removing unneccessary zeros gives:
0.0001101

Converting from a negitive fixed point binary number into a denary givs the final answer as:
-0.1015625

1 comment:

Anonymous said...

wrong (1)