Decimal floating point IEEE 754-2008 encoding IEEE 754-2008 decimal floating-point formats

| decimal32 | decimal64 | decimal128 | decimal32k | Format_ |
|---|---|---|---|---|
| 1 | 1 | 1 | 1 | Sign field (bits) |
| 5 | 5 | 5 | 5 | Combination field (bits) |
| 6 | 8 | 12 | w = 2×k + 4 | Exponent continuation field (bits) |
| 20 | 50 | 110 | t = 30×k−10 | Coefficient continuation field (bits) |
| 32 | 64 | 128 | 32×k | Total size (bits) |
| 7 | 16 | 34 | p = 3×t/10+1 = 9×k−2 | Coefficient size (decimal digits) |
| 192 | 768 | 12288 | 3×2w = 48×4k | Exponent range |
| 96 | 384 | 6144 | Emax = 3×2w−1 | Largest value is 9.99...×10Emax |
| −95 | −383 | −6143 | Emin = 1−Emax | Smallest normalized value is 1.00...×10Emin |
| −101 | −398 | −6176 | Etiny = 2−p−Emax | Smallest non-zero value is 1×10Etiny |