matlab question:

Consider a ternary, normalized floating-point number system that is base 3. Analogous to a bit, a ternary digit is a trit. Assume that a hypothetical ternary computer uses the following floating-point representation: where s_m is the sign of the mantissa and s_e is the sign of the exponent (0 for positive, 1 for negative), t_1, t_2, t_3 and t_4 are the trits of the mantissa, and e_1, e_2 are the trits of the exponent where each trit is 0, 1 or 2. Write the following numbers (parts (a) to (d)) using this representation where X_10 is used to indicate that the number provided is in decimal. Show all your work. (a) (3 + 2/9)_10 (b) -55_10 (c) The largest number that can be represented in this system. (d) The smallest positive non-zero number that can be represented in this system. (e) What is the spacing for numbers between 3_10 and 9_10 in this ternary floating-point representation system? Your answer should be in decimal. Don't just provide the answer but also show your reasoning