Description

The standard defines the encoding for the quadruple-precision floating-point data type quadruple (128 bits or 16 bytes). The encoding used is the IEEE standard for normalized quadruple-precision floating-point numbers [1]. The standard encodes the following three fields, which describe the quadruple-precision floating-point number:

S: The sign of the number. Values 0 and 1 represent positive and negative, respectively. One bit.

E: The exponent of the number, base 2. There are 15 bits in this field. The exponent is biased by 16383.

F: The fractional part of the number's mantissa, base 2. There are 111 bits in this field.

Therefore, the floating-point number is described by:

(-1)**S * 2**(E-Bias) * 1.F