To design a 2 to 4 decoder using a 4 to 16 decoder, a correct truth table is essential. The initial truth table presented was incomplete, lacking output associations for each input state. Clarification is needed on whether A is the high or low bit, as this affects the output configuration. Several 4 to 16 decoder datasheets, such as the one from Texas Instruments, provide insight into input labeling, indicating that A is typically the least significant bit. A properly structured truth table will reflect the correct outputs based on the specified inputs.