University:
California State University, Northridge
Course:
COMP 108 | Orientation to Computer Science
Academic year:

2009
Views:

116

Pages:

1
Author:

Damarion Ali

Interpretation of IEEE 754 Floating-Point Numbers Sign Single Precision (32 bits) Biased Fraction exponent 0 0 0 0 255 (all 1s) 0 Value Sign 0 –0 ∞ 0 1 0 Double Precision (64 bits) Biased Fraction exponent 0 0 0 0 2047 (all 1s) 0 Value positive zero negative zero plus infinity 0 1 0 minus infinity 1 0 or 1 0 or 1 255 (all 1s) 255 (all 1s) 255 (all 1s) 0 ≠0 ≠0 –∞ NaN NaN 1 0 or 1 0 or 1 2047 (all 1s) 2047 (all 1s) 2047 (all 1s) 0 ≠0 ≠0 –∞ NaN NaN 0 0 < e < 255 f 2e–127(1.f) 0 0 < e < 2047 f 2e–1023(1.f) 1 0 < e < 255 f –2e–127(1.f) 1 0 < e < 2047 f –2e–1023(1.f) 0 0 f≠0 2e–126(0.f) 0 0 f≠0 2e–1022(0.f) 1 0 f≠0 –2e–126(0.f) 1 0 f≠0 –2e–1022(0.f) quiet NaN signaling NaN positive normalized nonzero negative normalized nonzero positive denormalized negative denormalized 0 –0 ∞

Interpretation of IEEE 754 Floating-Point Numbers