Design a combinational circuit with four inputs, $x0,x1,x2$ and $x3,$ and four outputs $B0,B1,B2,$ and $B4.$ When the binary input is $0,1,3,5,7,9,11,13,15,$ the binary output is two greater than the input. When the binary input is $2,4,6,8,10,12,14,$ the binary output is two less than the input.$($if the Output is exceeds than $15$ assume it as a don't care variable$).$

Design the sequential logic circuit for the following state diagram using $T$ flip flops.