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In the context of numeral systems, what does the term 'base' refer to?

Practice Questions

Q1
In the context of numeral systems, what does the term 'base' refer to?
  1. The number of unique digits used.
  2. The maximum value of a digit.
  3. The total number of digits in a system.
  4. The value of the first digit.

Questions & Step-by-Step Solutions

In the context of numeral systems, what does the term 'base' refer to?
  • Step 1: Understand that a numeral system is a way to represent numbers.
  • Step 2: Recognize that different numeral systems use different sets of digits.
  • Step 3: The 'base' of a numeral system tells us how many unique digits are used.
  • Step 4: For example, in the decimal system (base 10), we use the digits 0-9, which are 10 unique digits.
  • Step 5: In the binary system (base 2), we only use the digits 0 and 1, which are 2 unique digits.
  • Step 6: Therefore, the base indicates the total count of these unique digits in the system.
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