Create a logic circuit machine that reads an integer and determines if it is divisible by $5.$ For example, the machine would read integer $\text{'}123$$ $\text{'}$ as $\text{'}1\text{'},\text{'}2\text{'},\text{'}3\text{'},\text{'}\text{'}$$$\text{'},$ with $\text{'}$$$\text{'}$ indicating the end of the integer. If $123$ is divisible by $5,$ it will output $1.$ Otherwise, the machine will output $0.$

You are given a black box function that takes in an integer in $\{0,1,2,$dots,$9\},$ and returns $1$ if it is $0$ or $5,$ otherwise, it returns $0.$

Hint: any integer divisible by $5$ ends with $0$ or $5$ And input integers are from $0..\mathrm{.}9$