Which of the following is the correct conversion of the decimal number 10 into b

Practice Questions

Q1
Which of the following is the correct conversion of the decimal number 10 into binary?
  1. 1010
  2. 1001
  3. 1100
  4. 1110

Questions & Step-by-Step Solutions

Which of the following is the correct conversion of the decimal number 10 into binary?
  • Step 1: Understand that binary is a base-2 number system, which means it uses only two digits: 0 and 1.
  • Step 2: Start with the decimal number 10.
  • Step 3: Divide the decimal number by 2 and write down the quotient and the remainder.
  • Step 4: Continue dividing the quotient by 2 until the quotient is 0, writing down the remainders each time.
  • Step 5: The remainders represent the binary digits, starting from the last remainder obtained to the first.
  • Step 6: For the number 10, the divisions will look like this: 10 ÷ 2 = 5 (remainder 0), 5 ÷ 2 = 2 (remainder 1), 2 ÷ 2 = 1 (remainder 0), 1 ÷ 2 = 0 (remainder 1).
  • Step 7: Write the remainders in reverse order: 1, 0, 1, 0.
  • Step 8: Therefore, the binary representation of the decimal number 10 is 1010.
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