According to Anagram Genius, rearranging the letters of "Indian Institute of Technology" yields several anagrams including "Go on! Test fancy tuition in Delhi." Another anagram site produces 500 anagrams for the phrase, including "functionality hogtied tension." Taking the word "technology" alone, "lengthy coo" is perhaps the best anagram possible. For "Institute of Technology" without the word "Indian" at the front, "genuflections toothy it" is not the best anagram ever created but at least it employs three real words.
"Anticonformity," a word made famous by singer Krystal Meyers in the song of the same name is the largest single word that can be made from the letters of "information technology." However, it is not a word accepted by all dictionaries. Further, seven letters remain, from which you can form "leg oh no." The rules of anagram-making allow you to rearrange the real words you find into the best order. Does "Oh no, anticonformity leg" mean anything? Perhaps not, but it is still an anagram.
From "personal computer" you can form "a plectrum snooper," which could be someone who likes to check out other people's plectrums; a plectrum is the small, usually plastic tool people use to strum guitar strings. Now imagine you are at the North Pole. Some building work is going on. They need special building materials because of the low temperatures, including something called "polar cement." As you watch the workers, one of them tips a bucket and "polar cement pours."
"Artificial intelligence" yields "an electrician if I lit gel," which makes a little sense. "Nanotechnology," the study of molecular scale manipulation, gives "hootenanny clog." A hootenanny is an old word for party and clogs are a kind of footwear, so this makes some sense. If someone was keen you should get your driver's license, they might say: "Commit unto a license," which is an anagram of "telecommunications." One of the best anagrams you can make from "science and technology" is "English cocoa tendency."