This statement is true. Most modern power supplies are designed with a 24-pin main connector that can split into a 20-pin connector, making them compatible with both 20-pin and 24-pin motherboard connectors. The 20-pin portion of the connector can be used to fit an older motherboard that has only a 20-pin socket, while the extra 4 pins will remain unconnected. It is crucial to align the connector correctly to ensure the proper distribution of power to the motherboard.