Question #1-8 Marks 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: where sm is the sign of the mantissa and se is the sign of the exponent (0 for positive, 1 for negatlve), h 92, s and q, are the quits of the mantissa, and e, eo are the quits of the exponent, where each quit is 0,1, 2 or 3. For parts (a) and (b), Xio is used to indicate that the number provided is in decimal. Show all your work for all parts. (a) What is the computer representation -301o in this system? (b) What is the computer representation of 7.18751o in this system? (c) What is the smallest positive non-zero number that can be represented in this system? What is it's value in decimal? the interval 16(10) 641o) in this quaternary floating-point representation system? Your answer should (d) What is the size of the gap between any two consecutive numbers in and be in decimal