Use logic gates only (and, or, not, xor, nor, nand) to build a logisim a single circ file to simulate these pieces of hardware:

1. Reads a 2 3 bit numbers (octal digits) and returns true if they match and false otherwise

2. Reads 4 bits and returns how many of them are true (3 bit output to represent 0-4)

3. Reads 4 3 bit octal digits and returns how many of them are exact matches to the codes in your name (as described in the first project) (uses the previous 2 circuits)

4. Reads 4 3 bit octal digits and returns how many of them match any of the codes in your name (as described in the first project).

5. Hardware that puts together the previous pieces of hardware to take an 4 3 bit octal digits and returns the number of exact matches (3 bits) and the number of matches anywhere.(3 bits) This hardware takes 12 input bits and 6 output bits.