Definition:Floating-Point Representation/Normalized
< Definition:Floating-Point Representation(Redirected from Definition:Normalized Floating-Point Representation)
Jump to navigation
Jump to search
Definition
Let $x$ be a real number implemented in floating-point representation as:
- $x = f \times \beta^e$
such that:
- $x = \pm \sqbrk {0.f_1 f_2 \ldots f_t} \times \beta^e$
This representation is said to be normalized if and only if $f_1 \ne 0$.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): floating-point representation
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): floating-point representation