Consider a quaternary, normalized floating-point number system that is base 4. 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 e2 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), 91, 92, 93 and 94 are the quits of the mantissa, and e1,e2 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