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Pedantic usage note: When using quad-precision as an adjective, as in quad-precision number, hyphenate it. When using it as a noun ("Double precision differs from quad precision."), do not hyphenate it.

In the IEEE 754r proposed revised floating point standard, this is the third basic binary floating point format, together with 64 bits double precision and the 32 bit single precision formats.

1 Quad precision memory format

The format is written with an implicit integer bit with value 1 unless the written exponent is all zeros. Thus only 112 bits of the fraction appear in the memory format.

1.1 Exponent encodings

The true exponent = written exponent - exponent bias

All bit patterns are valid encodings.

2 Quad precision examples in hexadecimalIn mathematics, hexadecimal or simply hex is a numeral system with a radix or base of 16 , usually written using the symbols 0-9 and A-F or a-f. It is a useful system in computers because there is an easy mapping from four bits to a single hex digit.

(1/3 rounds up like double precision, because of the odd number of bits in the significand.)

3 See also

• half precisionIn computing, half precision is a computer numbering format that occupies only half of one storage locations in computer memory at address. A half-precision number may be defined to be an integer, fixed point, or floating point. For integers, they are typ -- single precision-- double precision -- quad precision
• Floating point