Arduino hexadecimal to binary Base Converter is a simple design that can be built using 4×4 Keypad
Additional info can be found in the attached sketch. Do not forget to add required 3 Arduino libraries: Keypad.h, Wire.h and LiquidCrystal_I2C.h. Pay attention to display address, it may differ from the default setting of 0x27. Next figure shows the schematic diagram.
This project can be easily modified for converting a 2 digit hexadecimal number by calling a conversion function 2 times and combining the result with OR logic operator. Other bases can also be added using the same logic. For example converting from binary or decimal representation. Here you can see a short video showing the converter in action.