Question: Consider a base-3, normalized floating-point number system, with chopping, used in a hypothetical 8-trit ternary computer. This computer uses the following floating-point rep- resentation, where

 Consider a base-3, normalized floating-point number system, with chopping, used in

Consider a base-3, normalized floating-point number system, with chopping, used in a hypothetical 8-trit ternary computer. This computer uses the following floating-point rep- resentation, where sm is the sign of the mantissa, se is the sign of the exponent (0 for positive, 1 for negative), t; are the trits of the mantissa, and e; are the trits of the expo- nent: Sm Se ti tz t3 ta ei e2 (a) [3 points) What is the computer representation of 4.810 in this system? (b) [1 point] What is the upper bound on the relative error for the floating-point repre- sentation in part (a)? (c) [3 points] What is the true relative error for the representation in part (a)? (d) [3 points) How many distinct, non-zero positive numbers can be represented in this system exaclty? Consider a base-3, normalized floating-point number system, with chopping, used in a hypothetical 8-trit ternary computer. This computer uses the following floating-point rep- resentation, where sm is the sign of the mantissa, se is the sign of the exponent (0 for positive, 1 for negative), t; are the trits of the mantissa, and e; are the trits of the expo- nent: Sm Se ti tz t3 ta ei e2 (a) [3 points) What is the computer representation of 4.810 in this system? (b) [1 point] What is the upper bound on the relative error for the floating-point repre- sentation in part (a)? (c) [3 points] What is the true relative error for the representation in part (a)? (d) [3 points) How many distinct, non-zero positive numbers can be represented in this system exaclty

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