Design a circuit that converts a 5-bit binary input (X) to a 6-bit BCD output (Y). You need to provide two alternative designs. You also need to submit: (1) A report that includes at the least the following sections. 1. Problem definition. 2. Alternative (1). 2.1 Circuit Design. 2.2 Verilog Codes. 2.3 Test Benches. 3. Alternative (2). 3.1 Circuit Design. 3.2 Verilog Codes. 3.3 Test Benches. 4. Solution Selection: 4.1 Selection Criteria. 4.2 Comparison and Solution Selection. (2) A one complete Quartus Project of your solutions.