Editing IEEE 754-1985 (section)

=== Double precision ===

[[Double-precision]] numbers occupy 64 bits. In double precision:
* The positive and negative numbers closest to zero (represented by the denormalized value with all 0s in the Exp field and the binary value 1 in the Fraction field) are
*: ±2<sup>&minus;52</sup> &times; 2<sup>&minus;1022</sup> ≈ ±4.94066{{e|−324}}
* The positive and negative normalized numbers closest to zero (represented with the binary value 1 in the Exp field and 0 in the fraction field) are
*: ±1 &times; 2<sup>&minus;1022</sup> ≈ ±2.22507{{e|−308}}
* The finite positive and finite negative numbers furthest from zero (represented by the value with 2046 in the Exp field and all 1s in the fraction field) are
*: ±(2−2<sup>−52</sup>) &times; 2<sup>1023</sup><ref name="Kahan" /> ≈ ±1.79769{{e|308}}

Some example range and gap values for given exponents in double precision:

{| class="wikitable" style="text-align:right;"
|- style="text-align:center;"
! Actual Exponent (unbiased)
! Exp (biased)
! Minimum
! Maximum
! Gap
|-
| −1
| 1022
| 0.5
| ≈ 0.999999999999999888978
| ≈ 1.11022e-16
|-
| 0
| 1023
| 1
| ≈ 1.999999999999999777955
| ≈ 2.22045e-16
|-
| 1
| 1024
| 2
| ≈ 3.999999999999999555911
| ≈ 4.44089e-16
|-
| 2
| 1025
| 4
| ≈ 7.999999999999999111822
| ≈ 8.88178e-16
|-
| 10
| 1033
| 1024
| ≈ 2047.999999999999772626
| ≈ 2.27374e-13
|-
| 11
| 1034
| 2048
| ≈ 4095.999999999999545253
| ≈ 4.54747e-13
|-
| 52
| 1075
| 4503599627370496	
| 9007199254740991
| 1
|-
| 53
| 1076
| 9007199254740992	
| 18014398509481982
| 2
|-
| 1023
| 2046
| ≈ 8.98847e307
| ≈ 1.79769e308
| ≈ 1.99584e292
|}