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In a base-4 system, what is the sum of the numbers 3 and 2?

Practice Questions

Q1
In a base-4 system, what is the sum of the numbers 3 and 2?
  1. 11
  2. 12
  3. 13
  4. 20

Questions & Step-by-Step Solutions

In a base-4 system, what is the sum of the numbers 3 and 2?
  • Step 1: Understand that we are working in a base-4 system, which means the digits can only be 0, 1, 2, or 3.
  • Step 2: Identify the numbers we want to add: 3 and 2.
  • Step 3: Add the numbers together in decimal: 3 + 2 = 5.
  • Step 4: Convert the decimal result (5) into base-4.
  • Step 5: To convert 5 to base-4, divide 5 by 4. The quotient is 1 and the remainder is 1.
  • Step 6: Write down the quotient (1) and the remainder (1) to form the base-4 number: 11.
  • Step 7: Therefore, the sum of 3 and 2 in base-4 is 11.
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