The ifelse function in R takes a condition vector and two other vectors or values. It checks each element of the condition. If true, it picks the corresponding element from the true_value vector; if false, from the false_value vector. This happens for every element, producing a new vector of the same length. For example, with x = c(3,7,2,9), ifelse(x > 5, "big", "small") returns c("small", "big", "small", "big") because only 7 and 9 are greater than 5. This vectorized approach avoids loops and is efficient. The execution table shows each step clearly, and the variable tracker follows how values change. Remember, if vectors differ in length, R recycles shorter ones to match. This function is great for quick conditional replacements or labeling in data.