2.86 Extend Precision

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Problem:

Intel-compatible processors also support an "extended-precision" floating-point format with an 80-bit word divided into a sign bit, k=15 exponent bits, a single integer bit, and n=63 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:

Desc	Extended Value	Extended Decimal
Smallest positive denormalized	0 00...(15) 0 00...(62)1	2^(-4145)
Smallest positive normalized	0 00...(14)1 1 00...(63)	2^(-4082)
Largest normalized	0 11...(14)0 1 111...(63)	4083*(2-2^-63)