MONT 104S Perception and Virtual Reality

College of the Holy Cross, Fall 2008

Home | | Schedule | | Assignments | | Lecture Notes Assignment 7 Due: Wednesday, November 12, in class Problem 1: Binary numbers Parts a - d: Convert the given binary numbers into decimal numbers. Show your work. a) 110101 b) 1111 c) 10101100 d) 100001000 e) If you have a binary number that consists of all ones and no zeros, what is a simple way to compute its decimal value? I.e. if the number has n 1's, what is a simple formula for it's value? (Hint: The formula is short). Examples: n = 2, Binary number = 11 n = 3, Binary number = 111 n = 5, Binary number = 11111 Problem 2: Hexadicimal numbers Convert the following hexadecimal numbers into decimal numbers. Show your work. a) 1B b) 32 c) A3 d) 10E e) 200 Problem 3: Binary to Hexadecimal Convert the following binary numbers to hexadecimal. Show your work. a) 11001001 b) 00010101 c) 01111110 d) 110101100001 e) 100000000001 Problem 4: Screen resolution, image size and memory Suppose you have an image that measures 100 pixels in width and 150 pixels in height. Your monitor is 15 inches in width and 13 inches in height. The monitor resolution has 1500 pixels x 1300 pixels (width x height). Answer the following questions. Show your work. a) What is the horizontal resolution of the monitor in ppi (pixels per inch)? b) What will be the width and height of the image in inches when displayed on the monitor? c) What would the width and height of the image be (in inches) if displayed on a monitor that had a resolution of 75 ppi (for both horizontal and vertical resolution)? d) If the bit depth of the image is 8, how many colors can be represented in the image? e) If the bit depth of the image is 8, how much memory, in bytes, will the image take up? Home | | Schedule | | Assignments | | Lecture Notes Constance Royden--croyden@mathcs.holycross.edu MONT 104S, Perception and VR Date Created: January 26, 2008 Last Modified: November 6, 2008 Page Expires: November 6, 2009