Unformatted text preview: l. The refers to the sign of the
number, a zero bit being used to represent a positive sign. The rst line
shows that the representation for zero requires a special zero bitstring for the
6 exponent eld as well as a zero bitstring for the fraction, i.e.
0 00000000 0000000000000000000000 :
No other line in the table can be used to represent the number zero, for all
lines except the rst and the last represent normalized numbers, with an
initial bit equal to one this is the one that is not stored. In the case of the
rst line of the table, the initial unstored bit is zero, not one. The 2;126 in
the rst line is confusing at rst sight, but let us ignore that for the moment
since (0:000 : : : 0)2 2;126 is certainly one way to write the number zero. In
the case when the exponent eld has a zero bitstring but the fraction eld
has a nonzero bitstring, the number represented is said to be subnormal. 3
Let us postpone the discussion of subnormal numbers for the moment and go
on to the other lines of the table...
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 Spring '09
 LIE
 oating point

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