Thursday, 4 October 2007

Task 16

A two-byte floating-point numbering system uses 10 places for the mantissa and 6 for the exponent. Convert the number 0100 0000 0011 1101 into decimal by filling in the following table:

Step 1 : The first bit is a 0.

Step 2 : 0.100000000

Step 3 : The first bit is a 1.

Step 4 : -3

Step 5 : 3 places to the left.

Step 6 : 0.000100000000

Step 7 : 0.0001

Step 8 : 1/16

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