The Approximate exponent range for a single-precision 32- bit binary floating point number is 3.
What do you mean by Single- precision?
The 32-bit single-precision floating-point format can represent a wide range of numerical values and utilises less computer memory. This format, also known as FP32, is best suited for calculations that won't be adversely affected by some approximation.
A signed 32-bit integer variable has a maximum value of [tex]2^{31}[/tex]-1 = 2,147,483,647.
In IEEE format, 754 32-bit base-2 floating-point variable has a maximum value of (2 − [tex]2^{-23}[/tex]) × [tex]2^{127}[/tex] ≈ 3.4028235 × [tex]10^{38}[/tex].
Therefore, the 8-bit representation uses 3 exponent bits, while the 32-bit representation uses 8 exponent bits.
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