You have fallen into a classic XY problemXY problem1 trap. However, thanks for briefly mentioning the original issue, as that makes the overall situation easier to understand.
You have a genuine problem ("X"):
That is not enough detail to help you with the actual problem, but I'll come back to that. You choseare having problems interpreting the results from an (unfortunately inappropriate) multimeter test, and are now having problems interpreting the results. Unfortunately and that is what you don't realise that thiswere asking about ("Y").
However "Y" is the wrong issue on which to be spending your time, as the resultbecause getting an answer to that, won't help you with solving the original problem "X". As confirmation, below is the answer to your question "Y" (about the apparent shorts you measured) but it doesn't help resolve the real problem "X" (about the sensors, when powered by the DE0-Nano):
Unless you have evidence that there is a short-circuit (which often won't be the case, if you just guessing at what troubleshooting to do), then usingUsing a typical multimeter in that way on a board with ICs installed, will usually lead to lots of false positive apparent shorts displayed on the meter. This is due to the ESD protection diodes (and other ESD protection structures) inside themost ICs, which maycan conduct during that "continuity" testing.
Sharp IR distance sensor outputting consistently high voltage
1 There are several slightly different definitions of the XY problem so I linked to a Google search above, for readers who want to learn more. The terminology I use is:
"X [is] the underlying problem and Y the exposed question or request"
which is adapted from here.