15-4 Table of
Miscellaneous Values
Table 15-3 shows
the IEEE representation of miscellaneous values that may be of interest. The
values that are not exact are rounded to the nearest representable value.
Table 15-3. Miscellaneous Values
|
|
Decimal
|
Single Format (Hex)
|
Double Format (Hex)
|
|
-
|
FF80 0000
|
FFF0 0000 0000 0000
|
|
-2.0
|
C000 0000
|
C000 0000 0000 0000
|
|
-1.0
|
BF80 0000
|
BFF0 0000 0000 0000
|
|
-0.5
|
BF00 0000
|
BFE0 0000 0000 0000
|
|
-0.0
|
8000 0000
|
8000 0000 0000 0000
|
|
+0.0
|
0000 0000
|
0000 0000 0000 0000
|
|
Smallest positive denorm
|
0000 0001
|
0000 0000 0000 0001
|
|
Largest denorm
|
007F FFFF
|
000F FFFF FFFF FFFF
|
|
Least positive normalized
|
0080 0000
|
0010 0000 0000 0000
|
|
p/180 (0.01745?
|
3C8E FA35
|
3F91 DF46 A252 9D39
|
|
0.1
|
3DCC CCCD
|
3FB9 9999 9999 999A
|
|
log10 2 (0.3010?
|
3E9A 209B
|
3FD3 4413 509F 79FF
|
|
1/e (0.3678?
|
3EBC 5AB2
|
3FD7 8B56 362C EF38
|
|
1/ln 10 (0.4342?
|
3EDE 5BD9
|
3FDB CB7B 1526 E50E
|
|
0.5
|
3F00 0000
|
3FE0 0000 0000 0000
|
|
ln 2 (0.6931?
|
3F31 7218
|
3FE6 2E42 FEFA 39EF
|
|
|
3F35 04F3
|
3FE6 A09E 667F 3BCD
|
|
1/ln 3 (0.9102?
|
3F69 0570
|
3FED 20AE 03BC C153
|
|
1.0
|
3F80 0000
|
3FF0 0000 0000 0000
|
|
ln 3 (1.0986?
|
3F8C 9F54
|
3FF1 93EA 7AAD 030B
|
|
|
3FB5 04F3
|
3FF6 A09E 667F 3BCD
|
|
1/ln 2 (1.442?
|
3FB8 AA3B
|
3FF7 1547 652B 82FE
|
|
|
3FDD B3D7
|
3FFB B67A E858 4CAA
|
|
2.0
|
4000 0000
|
4000 0000 0000 0000
|
|
ln 10 (2.302?
|
4013 5D8E
|
4002 6BB1 BBB5 5516
|
|
e (2.718?
|
402D F854
|
4005 BF0A 8B14 5769
|
|
3.0
|
4040 0000
|
4008 0000 0000 0000
|
|
p (3.141?
|
4049 0FDB
|
4009 21FB 5444 2D18
|
|
|
404A 62C2
|
4009 4C58 3ADA 5B53
|
|
log2 10 (3.321?
|
4054 9A78
|
400A 934F 0979 A371
|
|
4.0
|
4080 0000
|
4010 0000 0000 0000
|
|
5.0
|
40A0 0000
|
4014 0000 0000 0000
|
|
6.0
|
40C0 0000
|
4018 0000 0000 0000
|
|
2p (6.283?
|
40C9 0FDB
|
4019 21FB 5444 2D18
|
|
7.0
|
40E0 0000
|
401C 0000 0000 0000
|
|
8.0
|
4100 0000
|
4020 0000 0000 0000
|
|
9.0
|
4110 0000
|
4022 0000 0000 0000
|
|
10.0
|
4120 0000
|
4024 0000 0000 0000
|
|
11.0
|
4130 0000
|
4026 0000 0000 0000
|
|
12.0
|
4140 0000
|
4028 0000 0000 0000
|
|
13.0
|
4150 0000
|
402A 0000 0000 0000
|
|
14.0
|
4160 0000
|
402C 0000 0000 0000
|
|
15.0
|
4170 0000
|
402E 0000 0000 0000
|
|
16.0
|
4180 0000
|
4030 0000 0000 0000
|
|
180/p (57.295?
|
4265 2EE1
|
404C A5DC 1A63 C1F8
|
|
223 - 1
|
4AFF FFFE
|
415F FFFF C000 0000
|
|
223
|
4B00 0000
|
4160 0000 0000 0000
|
|
224 - 1
|
4B7F FFFF
|
416F FFFF E000 0000
|
|
224
|
4B80 0000
|
4170 0000 0000 0000
|
|
231 - 1
|
4F00 0000
|
41DF FFFF FFC0 0000
|
|
231
|
4F00 0000
|
41E0 0000 0000 0000
|
|
232 - 1
|
4F80 0000
|
41EF FFFF FFE0 0000
|
|
232
|
4F80 0000
|
41F0 0000 0000 0000
|
|
252
|
5980 0000
|
4330 0000 0000 0000
|
|
263
|
5F00 0000
|
43E0 0000 0000 0000
|
|
264
|
5F80 0000
|
43F0 0000 0000 0000
|
|
Largest normalized
|
7F7F FFFF
|
7FEF FFFF FFFF FFFF
|
|
|
7F80 0000
|
7FF0 0000 0000 0000
|
|
"Smallest" SNaN
|
7F80 0001
|
7FF0 0000 0000 0001
|
|
"Largest" SNaN
|
7FBF FFFF
|
7FF7 FFFF FFFF FFFF
|
|
"Smallest" QNaN
|
7FC0 0000
|
7FF8 0000 0000 0000
|
|
"Largest" QNaN
|
7FFF FFFF
|
7FFF FFFF FFFF FFFF
|
IEEE 754 does not specify how the signaling
and quiet NaNs are distinguished. Table 15-3 uses
the convention employed by PowerPC, the AMD 29050, the Intel x86 and I860, and
the Fairchild Clipper: The most significant fraction bit is 0 for signaling and
1 for quiet NaN's. The Compaq Alpha, HP PA-RISC, and MIPS computers use the
same bit to make the distinction, but in the opposite sense (0 = quiet, 1 =
signaling).