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Which of the following is a valid base-4 number?

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Question: Which of the following is a valid base-4 number?

Options:

  1. 123
  2. 234
  3. 345
  4. 456

Correct Answer: 123

Solution: 

In base-4, valid digits are 0, 1, 2, and 3. Therefore, 123 is valid, while 234, 345, and 456 contain digits not allowed in base-4.

Which of the following is a valid base-4 number?

Practice Questions

Q1
Which of the following is a valid base-4 number?
  1. 123
  2. 234
  3. 345
  4. 456

Questions & Step-by-Step Solutions

Which of the following is a valid base-4 number?
  • Step 1: Understand what base-4 means. In base-4, we only use the digits 0, 1, 2, and 3.
  • Step 2: Look at each number given in the question.
  • Step 3: Check if each digit in the number is one of the valid base-4 digits (0, 1, 2, 3).
  • Step 4: If a number has any digit that is 4 or higher, it is not a valid base-4 number.
  • Step 5: List the numbers you checked and identify which ones are valid based on the digits.
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