Implement the comparator of two 2-bit numbers A1A0 and B1B0 using an 8-to-1 multiplexer, an inverter is available. The circuit has 4 inputs: A1, A0, B1, B0 and one output F. The variant of output function F is defined by the last digit of your ID number as follows: case 1, your digit is 0, 1, or 2: F = 1 if A1A0 is greater than B1B0, otherwise F =0, case 2, your digit is 3 or 4: F = 1 if A1A0 is less than B1B0, otherwise F=0, case 3, your digit is 5 or 6: F =1 if A1A0 is greater or equal to B1B0, otherwise F=0, case 4, your digit is 7, 8 or 9: F =1 if A1A0 is less or equal to B1B0, otherwise F=0. Show only one implementation for the function corresponding to your last ID digit.