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Which of the following best describes a numeral system's base?

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Question: Which of the following best describes a numeral system\'s base?

Options:

  1. The number of unique digits used.
  2. The total number of digits in a number.
  3. The maximum value a digit can hold.
  4. The position of a digit in a number.

Correct Answer: The number of unique digits used.

Solution: 

The base of a numeral system refers to the number of unique digits used in that system.

Which of the following best describes a numeral system's base?

Practice Questions

Q1
Which of the following best describes a numeral system's base?
  1. The number of unique digits used.
  2. The total number of digits in a number.
  3. The maximum value a digit can hold.
  4. The position of a digit in a number.

Questions & Step-by-Step Solutions

Which of the following best describes a numeral system's base?
  • Step 1: Understand what a numeral system is. A numeral system is a way to represent numbers using symbols or digits.
  • Step 2: Learn about the term 'base' in a numeral system. The base tells us how many different digits are used in that system.
  • Step 3: For example, in the decimal system (base 10), we use 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
  • Step 4: In the binary system (base 2), we only use 2 digits: 0 and 1.
  • Step 5: So, the base is simply the count of unique digits available in that numeral system.
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