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:
Step 1 : The first bit is a 0.
Step 2 : The Mantissa: 0.1110
Step 3 : Negative because it starts with a 1
Step 4 : Denary Equivalent of 111 = -1
Step 5 : The Decimal Place must be moved 1 place to the left because the Exponent = -1
Step 6 : Mantissa: 0.01110
Step 7 : New Mantissa: 0.0111
Step 8 : Final Denary Value: 0.475 or 7/16
Thursday, 4 October 2007
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