One approach to handling fuzzy logic data might be to design a computer using…

2007

One approach to handling fuzzy logic data might be to design a computer using ternary (base-3) logic so that data could be stored as “true,” “false,” and “unknown.” If each ternary logic element is called a flit, how many flits are required to represent at least 256 different values?

  1. A.

    4

  2. B.

    5

  3. C.

    6

  4. D.

    7

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Correct answer: C

To determine the number of ternary flits needed, we calculate the capacity using 3^n, where n is the number of flits. We need to find the smallest integer n such that 3^n >= 256. Testing powers of 3: 3^5 = 243, which is less than 256. The next integer is n = 6, yielding 3^6 = 729 distinct values. Since 729 is greater than 256, 6 flits are required to represent at least 256 different values.

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