(a) A common measure of transmission for digital data is the baud rate, defined as the number of bits transmitted per second. Generally, transmission is accomplished in packets consisting of a start bit, a byte (8 bits) of information, and a stop bit. Using these facts, answer the following: i) How many minutes would it take to transmit a 1024x1024 image with 256 intensity levels using a 56k baud modem? ii) What would the time be at 3000K baud, a representative medium speed of a phone DSL (Digital Subscriber Line) connection? (b) Develop an algorithm for converting a one-pixel-thick 8-path to a 4-path.