# Bit Strings

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(a) How many bit strings of length 6 are there? Explain fully.

(b) How many bit strings of length 6 are there which begin with a 0 and end with a 0? Explain fully.

(c) How many bit strings of length 6 start with a 0 bit or end with a 0 bit? Explain fully.

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##### Solution Summary

Bit strings are investigated.

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(a) Each digit can be filled in 2 ways, by either a zero or a one.

So the total number of bit strings of length 6 is 2^6 = 64

(b) The second to the fourth digits ...

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