IEEE 754-1985 Examples Examples

| Type_ | Actual_Exponent | Exp_biased | Exponent_field | Significand_fraction_field | Value_ |
|---|---|---|---|---|---|
| Largest denormalized number | −127 | 0 | 0000 0000 | 111 1111 1111 1111 1111 1111 | ±(1−2 −23 ) × 2 −126 ≈ ±1.18 × 10− |
| Smallest normalized number | −126 | 1 | 0000 0001 | 000 0000 0000 0000 0000 0000 | ±2 −126 ≈ ±1.18 × 10− |
| Largest normalized number | 127 | 254 | 1111 1110 | 111 1111 1111 1111 1111 1111 | ±(2−2 −23 ) × 2 127 ≈ ±3.4 × 10 |
| Positive infinity | 128 | 255 | 1111 1111 | 000 0000 0000 0000 0000 0000 | +∞ |
| Negative infinity | 128 | 255 | 1111 1111 | 000 0000 0000 0000 0000 0000 | −∞ |
| Not a number | 128 | 255 | 1111 1111 | non zero | NaN |
| * Sign bit can be either 0 or 1. | * Sign bit can be either 0 or 1. | * Sign bit can be either 0 or 1. | * Sign bit can be either 0 or 1. | * Sign bit can be either 0 or 1. | * Sign bit can be either 0 or 1. |