Let Ai be the set of all nonempty bit strings (that is,

Chapter 1, Problem 49E

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QUESTION:

Let \(A_{i}\) be the set of all nonempty bit strings (that is, bit strings of length at least one) of length not exceeding \(i\). Find

a) \(\bigcup_{i=1}^{n} A_{i}\).

b) \(\bigcap_{i=1}^{n} A_{i}\).

Equation Transcription:

Text Transcription:

 A_i  i  

Big cup_i=1^n A_i  

Big cap_i=1^n A_i

Questions & Answers

QUESTION:

Let \(A_{i}\) be the set of all nonempty bit strings (that is, bit strings of length at least one) of length not exceeding \(i\). Find

a) \(\bigcup_{i=1}^{n} A_{i}\).

b) \(\bigcap_{i=1}^{n} A_{i}\).

Equation Transcription:

Text Transcription:

 A_i  i  

Big cup_i=1^n A_i  

Big cap_i=1^n A_i

ANSWER:

SOLUTION
Step 1

Given be the set of all non empty bit strings of length not exceeding i.

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