1. The problem is to convert the decimal number 10 to its binary equivalent. 2. The formula or method used is to divide the decimal number by 2 repeatedly and record the remainders. 3. Divide 10 by 2: quotient = 5, remainder = 0. 4. Divide 5 by 2: quotient = 2, remainder = 1. 5. Divide 2 by 2: quotient = 1, remainder = 0. 6. Divide 1 by 2: quotient = 0, remainder = 1. 7. Write the remainders in reverse order: 1010. 8. Therefore, the binary representation of decimal 10 is $1010$.