Suppose a new standard MAE384 12 is defined to store floating point numbers using 12 bits The first bit is used to store the

Question

Suppose a new standard MAE384 12 is defined to store floating point numbers using 12 bits The first bit is used to store the sign as in IEEE 754 the next 6 bits store the exponent plus the appropriate bias and the remaining 5 bits store the mantissa As in IEEE 754 an exponent and mantissa of all zero bits is used to indicate true zero and an exponent of all one bits together with a mantissa of all zero bits is used to store infinity Determine by hand in decimal format a the bias for storing exponents in MAE384 12 b the smallest possible non zero positive number c the largest possible finite positive number d the smallest possible difference between 1 0 x 10 and the next larger possible number e the smallest possible difference between 7 0 x 10 and the next larger possible number Problem 5 required submission Handwritten or printed all steps to obtain the answers incl the final answers

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