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

₹0.0

Question: Which of the following is the correct conversion of the decimal number 10 into binary?

Options:

Correct Answer: 1010

Solution:

The decimal number 10 is represented as 1010 in binary.

Which of the following is the correct conversion of the decimal number 10 into binary?

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.

No concepts available.