Yes, you can give Tylenol to a child younger than 2 years old. The dose of acetaminophen should be based on the child's weight, with 10 to 15 mg of medicine per kg of body weight every 4 to 6 hours, up to 5 times in a 24-hour period. It's always a good idea to consult with a pharmacist to determine the correct dosage based on the child's weight and the concentration of the product.