The formula to calculate the Normalized Value (N) is:
\[ \text{N} = \frac{\text{F}}{2^{(\text{E} - \text{B})}} \]
Where:
Floating point normalization is a process used in computer science and mathematics to represent a floating point number in a standard form. This involves adjusting the exponent and mantissa (or significand) so that the number is represented in a normalized form, typically with a leading digit of 1 in binary systems. This standardization allows for consistent and accurate representation of floating point numbers across different systems and calculations. Normalization helps in reducing the rounding errors and improving the precision of floating point arithmetic operations.
Let's assume the following values:
Using the formula to calculate the Normalized Value:
\[ \text{N} = \frac{10}{2^{(5 - 3)}} = \frac{10}{2^2} = \frac{10}{4} = 2.5 \]
The Normalized Value is 2.5.
