1. The positional encoder in Figure 1 uses Gray code to represent the position of the pointer. Eg. when the pointer is in the 34 area, the output is 0010. Gray code is one of the codes used in digital systems. It has the advantage over binary numbers that only one bit in the code word changes when going from one mamber to the next, which eliminates the error when the pointer moves between areas a. Design a combinational circuit with four inputs and four outputs that converts a the four-bit gray code output into an equivalent four-bit binary number b. Use Karnaugh map technique to simplify the expression c. Implement the simplified form using logic any gate listed in the equipment list, but minimize 6 the total number of ICs used 4 3 5 2 0011 0010 0110 1 0111 7. 8. 15 14 10 13 11 12 Figure 1. Positional Encoder 2. Design 4-bit combinational cucuit 2's complementer (The ouut generates she 23 complement of the input binary mamber) 1000 1001 0001 9,