Question: Consider the 8 bit binary system with a 5 bit mantissa (i.e., only keeping 5 signifi- cant bits), a 3 bit exponent using the

Consider the 8 bit binary system with a 5 bit mantissa (i.e.,

   

Consider the 8 bit binary system with a 5 bit mantissa (i.e., only keeping 5 signifi- cant bits), a 3 bit exponent using the exponents {-3, -2, -1, 0, 1, 2, 3, 4} and chopping (ie, simply keeping the first 5 significant bits and chopping the rest). (a) Find the smallest positive number that can be represented in this system. (b) Find the floating point equivalent for using this system.

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