If the decimal number 10 is converted to binary, what is the resulting binary nu

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Question: If the decimal number 10 is converted to binary, what is the resulting binary number? (2023)

Options:

Correct Answer: 1010

Exam Year: 2023

Solution:

The decimal number 10 is represented as 1010 in binary.

If the decimal number 10 is converted to binary, what is the resulting binary number? (2023)

If the decimal number 10 is converted to binary, what is the resulting binary number? (2023)

Step 1: Understand that binary is a base-2 number system, which uses only two digits: 0 and 1.
Step 2: Start with the decimal number 10.
Step 3: Divide the decimal number by 2 and keep track of the quotient and the remainder.
Step 4: Write down the remainder. This will be the least significant bit (rightmost) of the binary number.
Step 5: Continue dividing the quotient by 2, writing down the remainder each time, until the quotient is 0.
Step 6: The binary number is formed by reading the remainders from bottom to top.

Number Base Conversion – Understanding how to convert numbers from decimal (base 10) to binary (base 2) representation.