Design a digital circuit that receives a $4$ bits BCD$-$coded$(*)$ number X $=$ abcd and returns a signal M$5=1$ if X$=0$ or multiple of $5$; and M$5=0$ otherwise. The algorithm below shows the functional description of the circuit $("$dc$"$ means a $$don$$t care$$ combination$).$

Inputs and outputs of the circuit must be named as: a$,$ b$,$ c$,$ d$,$ and M$5.$ Respect the upper and lowercases.

$(*)$: BCD code $($Binary Coded Decimal$)$ encodes any base$-10$ number from $0$ to $9$ in base$-2,$ using $4$ bits. That is$,0$ is coded by $0000,1$ by $0001,2$ by $0010$ and so on until $9,$ which is encoded by $1001.$ Base$-10$ numbers higher than $9$ require at least $2$ digits and, consequently, they will never enter to the circuit.

if X $>1001$ then M$5<=$dc;

elsif $($X$=0000$ or X$=0101)$ then M$5<=1$;

else M$5<=0$;

end if;

end if;

Instructions to answer this question

$1)$ In the virtual machine, open VerilUOC$\_$Desktop and draw the circuit.

$2)$ Click in $$Simulate$->$Verification$$ and then click in the VerilCirc tab.

$3)$ In "Module" select "Graded Exercises" and click on exercise $3\mathrm{.}3.$b$.$

$4)$ VerilCirc returns a $4$ uppercase letters code. Type it in the answer box.