1. The problem is to convert the decimal number 14 into its binary (base 2) equivalent. 2. To convert from decimal to binary, repeatedly divide the number by 2 and record the remainders. 3. Divide 14 by 2: quotient = 7, remainder = 0. 4. Divide 7 by 2: quotient = 3, remainder = 1. 5. Divide 3 by 2: quotient = 1, remainder = 1. 6. Divide 1 by 2: quotient = 0, remainder = 1. 7. Read the remainders from bottom to top: 1110. 8. Therefore, the number 14 in base 2 is $1110$.