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Rule of Products

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A bit string is a string of bits (0's and 1's).
The length of a bit string is the number of bits in the string.
An example, of a bit string of length four is 0010.
An example, of a bit string of length five is 11010.
Use the Rule of Products to determine the following:

(a) How many bit strings are there of length eight? Explain.
(b) How many bit strings are there of length eight which begin with two 1's? Explain.

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Solution Summary

This solution contains calculations of number of bit strings of length eight.

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a. Each bit can take value of either 0 or 1. A bit string of length 8 consists of 8 bits, where each bit can take value of either 0 or 1. First bit can have two possible values, similarly for ...

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