Definition: A hex color is a nonnegative integer, n, that has a base 16 fixed-width 6, expansion n= (r1r29192b1b2)16,6 where (r172)16,2 is the red component, (9192)16,2 is the green component, and (6162) 16,2 is the blue. (a) What is the blue component of the hex color (43690)10? Suggestion: First convert to the hex- adecimal representation of this number and then use the definition above. (b) Which hex color is larger (as a number): pure red or pure blue? Justify your choice with clear, correct, complete) calculations and/or references to definitions, and connecting these calculations and/or definitions with the desired properties. (c) (Graded for fair effort completeness? To encode an image digitally, we divide it into a grid of colored pixels and store its length, height, and the sequence of colors. Fill in the blank in the following definition of a hex image so that its pixels are represented by a single number, Definition: For fixed positive integers l and h, a hex image with length 1 and height h is a nonnegative integer, n, that FILL IN THIS BLANK. Suggestion: use the definition of hex color as a guide. Hint: A useful base to work in could be related to the maximum hex color possible. Demonstrate your definition by showing the calculations for representing the following two im- ages. First image: one (fully) red pixel Second image: top row has white pixel and then (fully) blue pixel; bottom row has (fully) blue pixel and then white pixel