Design a combinational logic circuit with four inputs $A,B,C,D$ and one output $F$ as follows. The inputs ABCD represent a four$-$bit unsigned binary number where $A$ is the most significant bit and $D$ is the least significant bit. Whenever the inputs represent an even number between $0$ and $10,$ the output $F$ is logic $1.$ Otherwise $F$ is logic $0.$ Show all your working.