floating point

1. what rounding error can happen in denary is when we round of a value to shorten it down. the rounding error is the difference between the actual value and rounded value.
speed of light:  (2.998 - 2.99792458) x 108, which works out to 0.00007542 x 108


2. what rounding error can happen in binary is when binary numbers start to get floating points to represent certain values like 0.1 or 0.11

3. we use floating point to represent a "real number" into binary form.

4. the mantissa is the first part which holds the sign of the number 2.0987 x (10)2

5. the exponent is the second part and defines where the decimal point needs to be if the number is 
shown in its standard decimal form. 2.0987 x (10)2

6. 0.10100 0100 = 1.25
00 0100 = 4
01.01 000100
= 1.25