1. The problem is to convert the decimal number 14 into its binary (base 2) representation. 2. To do this, divide the number by 2 and record the remainder, repeat with the quotient until the quotient is 0. 3. Start with 14: - 14 \div 2 = 7 remainder 0 - 7 \div 2 = 3 remainder 1 - 3 \div 2 = 1 remainder 1 - 1 \div 2 = 0 remainder 1 4. Now, write the remainders from last to first to get the binary representation: 1110. 5. So, the number 14 in base 2 is $1110_{2}$.