The task is to design a detector circuit that has three inputs, AA, BB, and CC, for receiving the three necessary binary digits to represent the numbers 0 through 7. Use AA for the 4s place, BB for the 2s place, and CC for the 1s place. The circuit should return a 1 if the input is 5 or greater, and return a 0 otherwise. AA should correspond to the most significant digit and CC should correspond to the least significant digit.