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In a numeral system, what does the term 'base' refer to? (2023)

Practice Questions

Q1
In a numeral system, what does the term 'base' refer to? (2023)
  1. The number of unique digits used.
  2. The maximum value of a digit.
  3. The total number of digits in a number.
  4. The position of a digit in a number.

Questions & Step-by-Step Solutions

In a numeral system, what does the term 'base' refer to? (2023)
  • Step 1: Understand that a numeral system is a way to represent numbers.
  • Step 2: Learn that each numeral system uses a set of digits to represent values.
  • Step 3: The 'base' of a numeral system tells us how many unique digits are used in that system.
  • Step 4: For example, in the decimal system (base 10), we use the digits 0 to 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 helps us understand how many different symbols we can use to create numbers.
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