Iteratees presuppose sequential processing. A general-purpose input method must also support random IO: processing a seek-able input stream from an arbitrary position, jumping back and forth through the stream. We demonstrate random IO with iteratees, as well as reading non-textual files and converting raw bytes into multi-byte quantities such as integers, rationals, and TIFF dictionaries. Positioning of the input stream is evocative of delimited continuations. ... We show a representative application of the library: reading a sample TIFF file, printing selected values from the TIFF dictionary, verifying the values of selected pixels and computing the histogram of pixel values. The pixel verification procedure stops reading the pixel matrix as soon as all specified pixel values are verified. The histogram accumulation does read the entire matrix, but incrementally. Neither pixel matrix processing procedure loads the whole matrix in memory. In fact, we never read and retain more than the IO-buffer-full of raw data.