- first the comment mentions "I" and thanks several people, but there is no comment stamp to reveal the author.�� It would be lovely if the author could "sign" this comment
- second, there seems to be a minor error (but I'm no expert), the comment states
"It may help you to know that the basic format is...
sign 1 bit
exponent 11 bits with bias of 1023 (16r3FF) to produce an exponent
in the range -1023 .. +1024
- 16r000:
significand = 0: Float zero
significand ~= 0: Denormalized number (exp = -1024, no hidden '1' bit)
- 16r7FF:
significand = 0: Infinity
significand ~= 0: Not A Number (NaN) representation
mantissa 53 bits, but only 52 are stored (20 in the first word, 32 in the second).�� This is because a normalized mantissa, by definition, has a 1 to the right of its floating point, and IEEE-754 omits this redundant bit to gain an extra bit of precision instead.�� People talk about the mantissa without its leading one as the FRACTION, and with its leading 1 as the SIGNFICAND."
But if the significand has a leading zero then surely the section in the middle should read
sign 1 bit
exponent 11 bits with bias of 1023 (16r3FF) to produce an exponent
in the range -1023 .. +1024
- 16r000:
mantissa = 0: Float zero
mantissa��~= 0: Denormalized number (exp = -1024, no hidden '1' bit)
- 16r7FF:
mantissa��= 0: Infinity
mantissa��~= 0: Not A Number (NaN) representation
Right?
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