A floating point number is a way of representing fractional numbers in binary using scientific notation. This system allows for the representation of very large and very small numbers, with differing levels of precision.
When floating point numbers are represented in computers only the mantissa and exponent are stored as well as a sign bit for indicating negative numbers.
would be stored in the computer as
The 0 sign bit represents that it's a positive number, if it were a negative number the sign bit would be a 1
TODO: Imprecision with non fractions of 2 and long numbers