decode
verb
battle plans sent out on Germany's Enigma machine were quickly decoded:
decipher, decrypt, unravel, untangle, work out, sort out, piece together, solve, interpret, translate, construe, explain, understand, comprehend, apprehend, grasp;
make sense of, get to the bottom of, find the key to, find the answer to, throw light on;
informal crack, figure out;
British, informal twig, suss, suss out.