Consider the 8 bit binary system with a 5 bit mantissa (i.e., only keeping 5 signifi-...

   

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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. 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.