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What is the sum of the digits of the number '123' in base 4?

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Question: What is the sum of the digits of the number \'123\' in base 4?

Options:

  1. 6
  2. 7
  3. 8
  4. 9

Correct Answer: 6

Solution:

The digits are 1, 2, and 3. Their sum is 1 + 2 + 3 = 6.

What is the sum of the digits of the number '123' in base 4?

Practice Questions

Q1
What is the sum of the digits of the number '123' in base 4?
  1. 6
  2. 7
  3. 8
  4. 9

Questions & Step-by-Step Solutions

What is the sum of the digits of the number '123' in base 4?
  • Step 1: Identify the number given, which is '123'.
  • Step 2: Recognize that '123' is in base 4.
  • Step 3: Break down the number '123' into its individual digits: 1, 2, and 3.
  • Step 4: Add the digits together: 1 + 2 + 3.
  • Step 5: Calculate the sum: 1 + 2 = 3, then 3 + 3 = 6.
  • Step 6: Conclude that the sum of the digits of the number '123' in base 4 is 6.
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