Data flow analysis is a method used by compilers to understand how data values change and move through a program. By analyzing variable assignments and conditions, it can detect when some parts of code will never run or when variables have fixed values. For example, if a variable x is always 5, the compiler knows that a condition checking if x > 0 is always true. This allows it to remove the else branch that will never execute. Tracking these changes step-by-step helps the compiler optimize the code by removing unnecessary instructions, making the program faster and smaller. The execution table shows each step of this process, including variable states and decisions made. Understanding this flow helps beginners see why data flow analysis is essential for optimization.