Part I: Gray code to Binary code converter Design a combinational circuit with four inputs (gi. g g and ga) and four outputs (bi, ba. bs and ba) that converts a four-bit Gray code number into its equivalent four-bit binary number Implement the circuit using exclusive-OR (CXOR) gates. This can be done using one 7486IG The following tables show a mapping from the 4-bit Gray codes to their corresponding 4-bit Binary codes: Gray code Binary code Gray code Binary code 1100 1101 0001 0011 0010 0110 0111 0101 0100 0001 0010 0011 0100 0101 0110 0111 1000 1001 1010 1011 1100 1101 1110 1110 1010 1011 1001 1. The inputs in the above tables are listed according to the Gray code order. Rearrange the above tables according to a truth table having 4 inputs (gi, g. g and ga) and 4 outputs (b, ba, bs and ba), where the inputs follow the proper order of truth tables. 2. Show the K-maps for each of the outputs bi, b, bs and ba, and obtain their coresponding minimum SOP expressions. Note: Each output will have a separate K-map. 3. Write the above expressions of bi, b, b and ba in terms of XOR functions. Note that, the operations a@b a'btab and (aeb)ab ab, correspond to the XOR and XNOR functions, respectively Hint 1- Factorize g and gs' in the expression of b. 2- Factorize gig2, Bi'gi and gi'g2 in the expression of ba 4. Draw the circuit diagram of the whole 4-input 4-output converter using only three 2-imput XOR gates 5. Construct the circuit on the NI Elvis board. Connect its outputs to four LED's and verify its operation