Which of the following is a correct conversion of the decimal number 10 into bin

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Question: Which of the following is a correct conversion of the decimal number 10 into binary? (2023)

Options:

Correct Answer: 1010

Exam Year: 2023

Solution:

The decimal number 10 is represented as 1010 in binary.

Which of the following is a correct conversion of the decimal number 10 into binary? (2023)

Which of the following is a correct conversion of the decimal number 10 into binary? (2023)

Step 1: Understand that decimal is a base-10 system, which uses digits from 0 to 9.
Step 2: Understand that binary is a base-2 system, which uses only the digits 0 and 1.
Step 3: To convert the decimal number 10 to binary, we need to divide the number by 2 and keep track of the remainders.
Step 4: Divide 10 by 2. The quotient is 5 and the remainder is 0.
Step 5: Divide 5 by 2. The quotient is 2 and the remainder is 1.
Step 6: Divide 2 by 2. The quotient is 1 and the remainder is 0.
Step 7: Divide 1 by 2. The quotient is 0 and the remainder is 1.
Step 8: Now, write down the remainders in reverse order: 1, 0, 1, 0.
Step 9: Therefore, the binary representation of the decimal number 10 is 1010.

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