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Sociologists can get three possible answers to a typical survey question such as ‘‘Do you believe in the tooth fairy?''-namely, yes, no, and no opinion. With this in mind, the Sociomagnetic Computer Company has decided to build a computer to process sur- vey data. This computer has a trinary memory-that is, each byte (tryte?) consists of 8 trits, with a trit holding a 0, 1, or 2. How many trits are needed to hold a 6-bit number? Give an expression for the number of trits needed to hold n bits.

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