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Consider a ternary, bit, a ternary digit is a trit. Assume that a hypothetical ternary computer uses the following floating-point representation: normalized floating-point number system

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Consider a ternary, bit, a ternary digit is a trit. Assume that a hypothetical ternary computer uses the following floating-point representation: normalized floating-point number system that is base 3. Analogous to a where s is the sign of the mantissa and se is the sign of the exponent (0 for positive, 1 for negative), t1, t2, t3 and t4 are the trits of the mantissa, and e, e2 are the trits of the exponent, where each trit is 0,1 or 2. For parts (a) to (b), X(io) is used to indicate that the number provided is in decimal. Show all your work for all parts (a) What is the computer representation of 3(10( in this system? (b) What is the computer representation -29o) 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? (d) What is the size of the gap between any two consecutive numbers in the interval 9(10) and 27(1o) in this ternary floating-point representation system? Your answer should be in decimal

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