The binary-coded-decimal (BCD) format uses 4 bits to represent 10 decimal digits. For example, 259 in base 10 is repesented as "010 0101 101" in BCD format. A BCD incrementor adds 1 to a number in BCD format. For example, after incrementing, "0010 0101 1001" becomes "0010 0110 000".
1. Design a three-digit 12-bit incrementor and derive the code.
2. Derive a testbench and use simulation to verify operation of the code.
3. Design a testing circuit that displays three digits on the seven-segment LED display and derive the code.
4. Synthesize the circuit, program the FPGA, and verify its operation.