The decimal32 format from IEEE 754R has a 7-digit significand, and an exponent emin ≤ e ≤ emax, with emin = -95, emax = +96, the significand being between 1.000000 and 9.999999 for normal numbers, and between 0.000001 and 0.999999 for subnormal numbers.
The smallest positive normal number is thus 1.0E-95, the smallest positive subnormal is 1.0E-101, and the largest number is 9.999999E+96.
x | f(x) | rnd | m |
0.4999999E-6 | 1.00000050000002 | N | 7.6 |
0.9999995E-6 | 1.00000100000000 | Z | 12.5 |
0.1999998E-5 | 1.00000200000000 | Z | 11.6 |
0.3999992E-5 | 1.00000400000000 | Z | 10.7 |
0.5999982E-5 | 1.00000600000000 | Z | 10.1 |
0.7999968E-5 | 1.00000800000000 | Z | 9.8 |
0.9999950E-5 | 1.00001000000000 | Z | 9.5 |
0.1999980E-4 | 1.00002000000000 | Z | 8.6 |
0.2999955E-4 | 1.00002999999999 | Z | 8.0 |
0.3999920E-4 | 1.00003999999998 | Z | 7.7 |
0.4999875E-4 | 1.00004999999996 | Z | 7.4 |
0.6449792E-4 | 1.00006450000004 | N | 7.4 |
0.7549715E-4 | 1.00007549999998 | N | 7.7 |
0.7949684E-4 | 1.00007949999996 | N | 7.4 |
0.8049676E-4 | 1.00008049999995 | N | 7.3 |
0.3349439E-3 | 1.00033499999997 | Z | 7.5 |
0.4533972E-3 | 1.00045350000005 | N | 7.3 |
0.7232384E-3 | 1.00072349999995 | N | 7.3 |
0.2408597E-2 | 1.00241150000001 | N | 8.3 |
0.2877855E-2 | 1.00288199999998 | Z | 7.8 |
0.6440714E-2 | 1.00646150000001 | N | 7.9 |
0.7750388E-2 | 1.00778050000003 | N | 7.5 |
0.2143316E-1 | 1.02166449999996 | N | 7.4 |
0.8258902E0 | 2.28391300000005 | Z | 7.3 |
0.9720898E0 | 2.64346300000002 | Z | 7.7 |
0.3185954E1 | 2.41903550000002e1 | N | 7.6 |
0.3725083E1 | 4.14746750000002e1 | N | 7.7 |
0.6739320E1 | 8.44985949999996e2 | N | 7.4 |
-0.5000000E-7 | 9.99999950000001e-1 | N | 7.9 |
-0.1000000E-6 | 9.99999900000005e-1 | Z | 7.3 |
-0.4500001E-6 | 9.99999550000001e-1 | N | 7.9 |
-0.2000002E-5 | 9.99998000000000e-1 | Z | 10.6 |
-0.2450003E-5 | 9.99997550000001e-1 | N | 7.9 |
-0.4000008E-5 | 9.99996000000000e-1 | Z | 9.7 |
-0.6000018E-5 | 9.99994000000000e-1 | Z | 9.1 |
-0.8000032E-5 | 9.99992000000000e-1 | Z | 8.8 |
-0.1000005E-4 | 9.99990000000000e-1 | Z | 8.5 |
-0.2000020E-4 | 9.99980000000003e-1 | Z | 7.6 |
-0.8660375E-4 | 9.99913399999997e-1 | Z | 7.5 |
-0.3046464E-3 | 9.99695400000003e-1 | Z | 7.6 |
-0.9743245E-3 | 9.99026149999997e-1 | N | 7.6 |
-0.8340082E-2 | 9.91694600000002e-1 | Z | 7.6 |
-0.1242082E-1 | 9.87656000000002e-1 | Z | 7.7 |
-0.1941098E-1 | 9.80776199999995e-1 | Z | 7.3 |
-0.6846253E-1 | 9.33828450000005e-1 | N | 7.3 |
-0.8838634E-1 | 9.15407150000003e-1 | N | 7.5 |
-0.6603752E1 | 1.35527349999998e-3 | N | 7.8 |
-0.7546489E2 | 1.68273100000003e-33 | Z | 7.6 |