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Unformatted text preview: an “extended precision” ﬂoating-point format with an 80-bit word divided into a sign bit, ½ exponent bits, a single integer bit, and Ò ¿ fraction bits. The integer bit is an explicit copy of the implied bit in the IEEE ﬂoating-point representation. That is, it equals 1 for normalized values and 0 for denormalized values. Fill in the following table giving the approximate values of some “interesting” numbers in this format: 2.5. SUMMARY
Description Smallest denormalized Smallest normalized Largest normalized Extended Precision Value Decimal 87 Homework Problem 2.50 [Category 1]: Consider a 16-bit ﬂoating-point representation based on the IEEE ﬂoating-point format, with one sign bit, seven exponent bits ( ), and eight fraction bits (Ò ). The exponent bias is ¾ ½ ½ ¿. Fill in the table below for the following numbers, with the following instructions for each column: Hex: The four hexadecimal digits describing the encoded form. Å:
: The value of the signiﬁcand. This should be a number of the form Ü or Ü , where...
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- Spring '10
- The American