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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.

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 survey data. This computer has a trinary memorythat is, each byte (tryte?) consists of 8 trits, with a trit holding a 0, 1, or 2. Show all of your work.

  1. How many trits are needed to hold a 4 bit number?

  1. How many trits are needed to hold a 6-bit number?

  1. How many trits are needed to hold an 8-bit number?

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