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In the above cases, with the ''truesignificand'' as the sequence of decimal digits decoded, the value represented is
<math>(-1)^\text{signbit}\times 10^{\text{exponentbits}_2-
The exponent range and digit precision are the same for both alternative encodings. There is no particular reason why the exponent part in this encoding alternative has the bits arranged in a different way than in the other alternative described above (and with the represented bit(s) of the lead decimal digit of the significand just before the declets), other than historical reasons in the eight-year long development of IEEE 754-2008.
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