H.1.2 Double

A 64-bit double format number X is divided as shown in Fig. H.2. The value v of X is inferred from its constituent fields thus

1.

If e = 2047 and $f \neq 0$, then v is NaN regardless of s

2.

If e = 2047 and f = 0, then $v = (-1)^{s} \infty$

3.

If 0 < e < 2047, then $v = (-1)^{s} 2^{e-1023} (1 \bullet f)$

4.

If e = 0 and $f \neq 0$, then $v = (-1)^{s} 2^{e-1022} (0 \bullet f)$ (denormalized numbers)

5.

If e = 0 and f = 0, then v = (-1)^s0 (zero)

  

Figure H.2: Double Format. msb means most significant bit, lsb means least significant bit