Problem 5 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. Problem 5 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