Practice Set Of Binary Strings (4.2.3) - Module No # 05 - Discrete Mathematics

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6 sample questions

Question 1.
What is a binary string?
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Think about the digits used in computer representation.
Question 2.
List the binary strings of length 2.
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Consider combining both 0 and 1.
3Question 3.
What does the set Π represent?
- Binary representations
- Decimal numbers
- Integers
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Think about the digits used in computing.
4Question 4.
Is the set of binary strings of finite length countably infinite?
- True
- False
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Recall the enumeration process explained in class.
Question 5.
Prove that binary strings of any finite length can always be enumerated, regardless of the size of the set.
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Think about how you would approach listing strings methodically; can you create a pattern?
Question 6.
If a new binary string of length n is generated by a rule, what would be the implications for the countability of the strings?
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Analyze how each length still falls under the same countable categorization.

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