IEEE 754
Basic and interchange formats

IEEE 754

Section Title: Basic and interchange formats
Table Section Text: None

Name	Common name	Base	Significand bits or digits	Decimal digits	Exponent bits	Decimal E max	Exponent bias	E min	E max	Notes

binary16	Half precision	2	11	3.31	5	4.51	24−1 = 15	−14	+15	not basic

binary32	Single precision	2	24	7.22	8	38.23	27−1 = 127	−126	+127

binary64	Double precision	2	53	15.95	11	307.95	210−1 = 1023	−1022	+1023

binary128	Quadruple precision	2	113	34.02	15	4931.77	214−1 = 16383	−16382	+16383

binary256	Octuple precision	2	237	71.34	19	78913.2	218−1 = 262143	−262142	+262143	not basic

decimal32	10	7	7	7.58	96	101	−95	+96	not basic

decimal64	10	16	16	9.58	384	398	−383	+384

decimal128	10	34	34	13.58	6144	6176	−6143	+6144

Sentence(s)

There are three binary basic formats (encoded with 32, 64 or 128 bits) and two decimal basic formats (encoded with 64 or 128 bits) in IEEE 754.

final_sentence: There are three binary basic formats (encoded with 32, 64 or 128 bits) and two decimal basic formats (encoded with 64 or 128 bits) in IEEE 754.