A logic system receives a 3-bit binary input representing the decimal numbers 0 to 7. The input bits are CCC, BBB, and AAA, where CCC is the most significant bit (MSB) and AAA is the least significant bit (LSB). The Boolean algebra expression for the system's output YYY is:
Y=B‾⋅(A+C) Y = \overline{B} \cdot (A + C) Y=B⋅(A+C)Deduce all the decimal numbers from 0 to 7 that will cause the output YYY to become logic 1.