Problem 1 (18 points) Suppose a new standard MAE384-10 is defined to store floating point numbers using 10 bits. The first bit is used to store the sign as in IEEE-754, the next 5 bits store the exponent incl. the appropriate bias, and the remaining 4 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 too. Determine by hand as decimal numbers: a) the bias for storing exponents in MAE384-10; b) the smallest possible non-zero positive number; c) the largest possible finite positive number; d) the smallest possible difference between 1 and the next larger possible number. e) the smallest possible difference between 0.25 and the next larger possible number. Problem 1 required submission: Handwritten (or printed) all steps to obtain the answers, incl. the final answers. Problem 1 (18 points) Suppose a new standard MAE384-10 is defined to store floating point numbers using 10 bits. The first bit is used to store the sign as in IEEE-754, the next 5 bits store the exponent incl. the appropriate bias, and the remaining 4 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 too. Determine by hand as decimal numbers: a) the bias for storing exponents in MAE384-10; b) the smallest possible non-zero positive number; c) the largest possible finite positive number; d) the smallest possible difference between 1 and the next larger possible number. e) the smallest possible difference between 0.25 and the next larger possible number. Problem 1 required submission: Handwritten (or printed) all steps to obtain the answers, incl. the final answers