Sorry, when I was following the conversation, I didn’t know if you needed to recreate that specific element or just adjust a pre-rendered portion of that layer.
Create a line of “000000”, You can add to the length later. Add a ‘offset’ text animator and set the offset to 1. Now to that animator add “wiggly selector” and set the Min amount to 0. If you scrub through the timeline you will see you have random binary numbers.
Create circle mask on your text layer. Under text “Path options” choose “Mask 1”, Reverse Path On, and Force Alignment On
Now make sure to click “Text”, and then from the animate pulldown add position animator and add a wiggly selector to it. Adjust your position to taste and then just change the wiggles/second to 0.
Lastly, just add a bunch more “0” to your text until you get what you want.
That would be the basics. Check my sample project.