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Overview of IEEE Standard Single- and Double-Precision Formats
3-13Instruction SetSPRU733
Normalized:
−1
s
× 2
(e−1023)
× 1.f 0 < e < 2047
Denormalized (Subnormal):
−1
s
× 2
−1022
× 0.f e = 0; f nonzero
Table 3−6 shows the s, e, and f values for special double-precision floating-
point numbers.
Table 3−6. Special Double-Precision Values
Symbol Sign (s) Exponent (e) Fraction (f)
+0 0 0 0
−0100
+Inf 0 2047 0
−Inf 1 2047 0
NaN x 2047 nonzero
QNaN x 2047 1xx..x
SNaN
x 2047 0xx..x and nonzero
Table 3−7 shows hexadecimal and decimal values for some double-precision
floating-point numbers.
Table 3−7. Hexadecimal and Decimal Representation for Selected Double-Precision Values
Symbol Hex Value Decimal Value
NaN_out 7FFF FFFF FFFF FFFF QNaN
0 0000 0000 0000 0000 0.0
−0 8000 0000 0000 0000 −0.0
1 3FF0 0000 0000 0000 1.0
2 4000 0000 0000 0000 2.0
LFPN 7FEF FFFF FFFF FFFF 1.7976931348623157e+308
SFPN 0010 0000 0000 0000 2.2250738585072014e−308
LDFPN 000F FFFF FFFF FFFF 2.2250738585072009e−308
SDFPN
0000 0000 0000 0001 4.9406564584124654e−324