We have validated that our decimal number formula_17 is represented in binary as formula_19. However, the issue with computers is that they represent numbers as integer powers of two using bits, which makes fractional and negative numbers complicated. In accordance with IEEE-754, the way this is commonly done with a computer is to create a 32-bit floating point number that consists of three parts: the sign, 1 bit to determine if our number is positive or negative; the exponent, 8 bits to represent our exponent and to which we add 127 to avoid signed bytes; and our significand, which is our binary number without a bicimal point spread across 23 bits. Since we need to move our bicimal point 5 places to make formula_20 into the significand formula_21 our exponent is formula_22. By using a 32-bit float we can represent 37.40625 like this: