Can a Jedi manipulate electronics? For instance could they scramble the machine code running on a robot?
If they can't why not? They can manipulate physical objects so manipulating the insides of a computer shouldn't be a problem should it?
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In the novel Children of the Jedi by Barbara Hambly, the character Irek Ismaren is introduced. While not a Jedi, Irek is Force sensitive and has been trained since a very young age in the use of the Force by his mother, a former member of the Emperor's Hands. When he was 5, professor Nasdra Magrody installed a subelectronic converter in his brain. With months of training, this allowed Irek to use his mind affecting techniques on droids and computers by helping him visualize such object's programming and then using the Force to override it.
As far as I know, there are no other recipients of such an implant in the Star Wars canon. As such, it is safe to say that a Jedi could not normally use the Force to manipulate electronics.
In The Corellian Trilogy, Anakin Solo, son of Han and Leia, shows an innate ability to understand what a machine or component does, even if he had never seen the device being used before. This is how, in Showdown at Centerpoint, he is able to repair the Millenium Falcon (with a little help from Chewbacca via comlink) and actually pushes his way between the atoms of a forcefield, an ability that is never shown to exist in other Force-users.
In the previous book, Assault at Selonia, Anakin activates a long-dormant electronic device, a planetary repulsor, simply through intuition; he has no experience with such advanced technology, and cannot read Basic yet, let alone the script of the Celestials who constructed the device, yet correctly undertakes all the necessary start-up procedures and fires a test-blast. In doing so, he actually imprints the repulsor on himself, so that no one else can use it. This is after he determines the location of the repulsor in the first novel of the trilogy, Ambush at Corellia, by 'tracing' a power conduit running to it. This is in spite of the conduit using some sort of stealth shielding, making it invisible to the archaeological team that is searching specifically for it.
Also in the first book of the trilogy, Anakin Solo helps his older siblings build a droid, by instinctively knowing where certain parts need to go in order to create a new droid using scrapped materials. When a part is damaged, or "melty inside" (something no one could possibly tell just by looking at the outside of the device), Anakin holds it, makes it glow, burns himself slightly in the process, and describes it as "a little better now, not all the way better. Less melty." The droid then works for a few moments, before the part that Anakin said was irreparable breaks down. Given Anakin Skywalker's predilection for tinkering in the prequel trilogy, it seems likely that this ability is hereditary, obviously skipping a generation, as Leia doesn't possess it. Nor do Anakin's siblings.
No other Force-user, except Irek Ismaren, mentioned in a previous answer, is ever shown to possess any power over machinery or electronics, other than the very open-ended 'push the button using the Force' variety. Even Vader is a simple supposition, based on the similarities between the two Anakins, with no canon confirmation. Ismaren needed a special implant in his brain to do so, and the existence of other cyborgs, such as Lando's aide Lobot, seen in The Empire Strikes Back, calls into question exactly how much of Ismaren's abilities come from the Force, and how much is simply a by-product of the implant.
According to this question:
the Jedi Archives can only be manipulated using The Force
If this is true then that means that a Jedi can manipulate fairly advanced electronics using The Force. I'm not sure how limited this ability is, but that proves it is possible.
Mechu-deru the force ability practiced mainly by Sith and some Jedi that allows them to manipulated and understand mechanical objects and things.