A one-byte floating point numbering system uses 5 places for the mantissa and 3 for the exponent. Convert the number -4.0 into a normalised floating-point number by filling the following table.
Step 1 : 4.0 in binary : 100
Step 2 : Mantissa : 00100
Step 3 : 2s Complement : 11100
Step 4 : Normalised : 111.00
Step 5 : Proper Normalised : 1.0000
Step 6 : Decimal place needs to be moved 4 to right to get the pre-normalised form.
Step 7 : The exponent is therefore : 100
Step 8 : Final answer : 10000100
Thursday, 4 October 2007
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