Recently a new scanner was announced that provided 1200 dpi resolution and over 1 billion colors.

a. How much memory in bytes would it take to store a bit map of an 8 × 10 inch monochrome picture at 1200 dpi with a 10-bit gray scale?

b. Suppose the colors are represented as a combination of three colors — red, blue, green — each with n bits to represent its intensity.What is the least value of n that will provide over 1 billion colors?

c. How long would it take to send a gray scale representation of an 8 × 10 inch picture at 1200 dpi over a T-1 line (1.544 Mbps)?