Design a logic circuit using an RCA, MUX and one logic gate $($you need to figure out which gate$)$ that does the following:Adds two $4-$bit binary numbers $($ A and B$),$ outputs a single bit.The single bit output indicates whether the summation of $A$ and B is even or odd if the summation is greater than $15.$ Output equals $1$ if odd; $0$ if even.If the summation of A and B is $15$ or less, the single bit output indicates whether input A is divisible by $4.$ Single bit output equals $1$ if A is divisible by $4$ ; $0$ if A is not divisible by $4.$