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in this video Ill show you how to convert denry numbers into normalized floating-point binary this means Ill also be discussing the importance of normalization and of course how to do it lets quickly recap how to convert from binary to denry suppose you want to convert this binary number into base 10 and that you have a 4-bit mantissa and a 4-bit exponent both in twos complement the first thing Im going to do is rewrite it and just separating the mantissa from the exponent and establishing where the binary point currently is immediately after the sign bit I can see this is a positive number then I work out the value of the exponent in this case its 2 to the power of 3 by the way when I say times 2 to the power of 3 it means float the point three places to the right but it might have occurred to you that 2 to the power of 3 is 8 which of course it is if you move the decimal point of the base 10 number one place to the right youre multiplying it by 10 move it three places and you
