True or False: The complement of Switch X is the HIGH or closed state of the switch.

The statement is false because the complement of a switch's state refers to its opposite condition. When a switch is in a HIGH state, this typically means it is closed and allowing current to flow, while the LOW state corresponds to the switch being open and not allowing current. Therefore, the complement of the closed state (HIGH) is the open state (LOW).

In digital electronics, a closed switch represents a logical '1' (HIGH) while an open switch represents a logical '0' (LOW). Therefore, the complement of a switch in the closed (HIGH) state would logically be the open (LOW) state, not another HIGH state. This concept aligns with the fundamental principles of digital logic, where complements are strictly defined as opposites in terms of voltage levels or states.

Thus, the correct answer indicates that the complement is not the same as the HIGH state, clarifying the relationship between the states in digital circuits.