Task 23

A two-byte floating-point numbering system uses 10 places for the mantissa and 6 for the exponent. Convert the number 1010 1100 0000 0011 into decimal by filling in the following table :


Step 1 : It begins with a 1

Step 2 : The mantissa is : 1.010110000

Step 3 : Negative Binary : -(0.101010000)

Step 4 : The exponent is : 000011

Step 5 : Decimal Point must be moved 3 places to the right.

Step 6 : The mantissa now becomes : -(1010.110000)

Step 7 : Removing unnecessary zeros gives : -(1010.11)

Step 8 : Denary : -(10.75) or simply -10.75