Floating-point arithmetic
Internal representation

Floating-point arithmetic

Section Title: Internal representation
Table Section Text: None

Type	Sign	Exponent	Significand field	Total bits	Exponent bias	Bits precision	Number of decimal digits

Half (IEEE 754-2008)	1	5	10	16	15	11	~3.3

Single	1	8	23	32	127	24	~7.2

Double	1	11	52	64	1023	53	~15.9

x86 extended precision	1	15	64	80	16383	64	~19.2

Quad	1	15	112	128	16383	113	~34.0

Sentence(s)

Single precision format has 24 bits of precision, double precision format has 53 and quad has 113.

final_sentence: Single precision format has 24 bits of precision, double precision format has 53 and quad has 113.