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in this video youll see how to add together two floating point binary numbers it assumes you can already convert numbers from base 10 to floating point binary for a given sized mantissa and exponent both in twos complement it also assumes that you can normalize floating point binary numbers before we see some examples lets consider the same process in base 10. here are two base 10 numbers in standard scientific form because the exponents are the same we can simply line up the decimal points of the mantissas and add them together the results will have the same exponent as the original numbers heres another example but this time the exponents dont match we cant simply add the mantissas together first we have to adjust one of the exponents to match the other in this case were making the smaller exponent match the larger one because that would make the number bigger 10 times bigger in this case we need to compensate by moving the decimal point to the left now that the exponents are