Consider a quaternary, normalized floating-point number system that is base 4 with chop- ping. Analogous to a bit, a quaternary digit is a quit. Assume that a hypothetical quaternary computer uses the following floating-point representation: Sm se ei 12 91 92 93 94 where sm is the sign of the mantissa and se is the sign of the exponent (0 for positive, 1 for negative), 41, 42, 43 and 44 are the quits of the mantissa, and 1,, are the quits of the exponent, an integer, and each quit is 0,1, 2 or 3. Show all your work for all parts. (a) What is the computer representation of 7.187510 in this system? (b) What decimal value does 00101321 represent in this system? (c) What is the maximum negative (non-zero) number that can be represented in this system? Give its value in decimal. (d) Let p be a real number in the interval [6410, 25610). If we need to represent p in this quaternary floating-point system with some p*, what is the upper bound on the absolute error of this representation? Your answer should be in decimal