This is a short (4:22) animated film with articulated paper figures that can be moved in stop-action technique. It is very funny. It was produced for IBM by Charles and Ray Eames, who I suspect also directed (no directing credit is given). The story is by Glen Fleck, and the wonderful music is by Elmer Bernstein,
Opening sign: “In which Sherlock Holmes uses his mastery of 2-Valued Logic to solve a baffling problem. Defined as a system of symbolic logic, invented in 1854 by George Boole, which deals in statements that are true or false. Since computers are made of switches with only two positions, on or off, they can be used to solve problems in 2-valued logic.”
Holmes is up against railroad bandits – The Paddington Mob – and is listening to statements made by railroad employees at different locations along the track as they are relayed to him by Dr. Watson. Holmes subjects them to Boolean logic and then demonstrates to Watson how well that works.
For instance, London says that the train went East toward Nye, Wicket says the train did not pass them, and Babbage says the train came from Wicket and went North. Holmes asks Watson to tell him whether each statement, taken separately, is True or False, and Boolean Logic wins the day!
The employees all have green mustaches (a sign of the Paddington Mob), and the one Holmes catches (Scotland Yard can get the rest) says, “Holmes, how do you ever know so much about computers?” and the film ends with a super sight gag.