How is it possible then that the max value of int is 2^31, and the max value of float is 3.4*10^38, while both of them are 32 bits?
I think that int’s max value capacity should be higher than the float because it doesn’t save memory for the floating number and accepts only integer numbers.Please explain…
Integer and float storage capacity doubt
Hello @Sheenagoyal21,
The core idea of floating-point representations (as opposed to fixed point representations as used by, say, ints), is that a number x is written as m*be where m is a mantissa or fractional part, b is a base, and e is an exponent. On modern computers the base is almost always 2, and for most floating-point representations the mantissa will be scaled to be between 1 and b. This is done by adjusting the exponent.
range:(b±1.5 x 10−45 to ±3.4 x 1038
~6-9 digits
This the IEEE 754 standards of representing a 32 bits floating point number.
Watch this to better understand, how floating points are represented using IEEE 754 standards.
Click here.
Hope, this would help.
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