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Which of the following statements about numeral systems is correct?

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Question: Which of the following statements about numeral systems is correct?

Options:

  1. All numeral systems are based on the same principles.
  2. Different numeral systems can represent the same value.
  3. The decimal system is the only system used in mathematics.
  4. Base systems are irrelevant in modern computing.

Correct Answer: Different numeral systems can represent the same value.

Solution: 

Different numeral systems can represent the same value, such as the decimal 10 and binary 1010.

Which of the following statements about numeral systems is correct?

Practice Questions

Q1
Which of the following statements about numeral systems is correct?
  1. All numeral systems are based on the same principles.
  2. Different numeral systems can represent the same value.
  3. The decimal system is the only system used in mathematics.
  4. Base systems are irrelevant in modern computing.

Questions & Step-by-Step Solutions

Which of the following statements about numeral systems is correct?
  • Step 1: Understand what a numeral system is. A numeral system is a way to represent numbers using symbols.
  • Step 2: Learn about different numeral systems. The most common ones are decimal (base 10) and binary (base 2).
  • Step 3: Recognize that different numeral systems can represent the same value. For example, the decimal number 10 is the same as the binary number 1010.
  • Step 4: Confirm that the statement in the question is correct because it shows how two different systems can represent the same quantity.
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