{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

fa06-sw-s2 - ECE 2030B 1:00pm 4 problems 4 pages Problem...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
ECE 2030B 1:00pm Computer Engineering Fall 2006 4 problems, 4 pages Exam Two Solutions 25 October 2006 1 Problem 1 (3 parts, 28 points) Representations and Arithmetic Part A (10 points) Convert the following notations: binary notation decimal notation 11011 16 + 8 + 2 + 1 = 27 1010.011 8 + 2 + .25 + .125 = 10.375 2 38 256 x 1K x 1K x 1K = 256 billion hexadecimal notation octal notation 8.1 1000.0001 = 10.04 DA.FA 11011010.11111010 = 332.764 Part B (10 points) For the 24 bit representations below, determine the most negative value, most positive value, and step size (difference between sequential values). All answers should be expressed in decimal notation . Fractions (e.g., 3/16ths) may be used. All signed representations are two’s complement. representation most negative value most positive value step size signed integer (24 bits) . (0 bits) - 8 million 8 million 1 unsigned fixed-point (12 bits) . (12 bits) 0 4 thousand 1/4096 unsigned fixed-point (18 bits) . (6 bits) 0 256 thousand 1/64 signed fixed-point (18 bits) . (6 bits) - 128 thousand 128 thousand 1/64 Part C (8 points) Complete the statements and answer the questions.
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern