Design a combinational circuit that takes four inputs $(($the enable$),,,$ and $),$ has four outputs $(,,,$ and $($the end of sequence flag$))$ and meets the following specifications. ~ If $=111$ then, regardless of the value of $,$ the end of sequence flag $=1$ else $=0.$ ~ If $=1$ then $=.$ ~ If $=0$ and $!=111$ then $$ should be set to the code after $$ in this list: $000,100,101,001,011,010,110,111.$ So if $=010$ then $=110.$ This is a type of Gray code sequence. ~ If $=0$ and $=111,$ then $$ may be set to anything $($this is called a $$don$$t care$$ and should be represented in the truth tables and K$-$maps with an $\backslash$times $.$ Notice that this is essentially a description of a four input, four output truth table

d$.$ Draw the circuit.