Data Representation: Millions of Colors

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Lesson synopsis

Display devices on cellphones, tablets and computers of all sizes, use bits of information to represent color. By first creating, and then playing a card game, students learn how additive color is represented as binary and hexadecimal numbers. They will also get practice in recognizing and manipulating binary and hexadecimal representations.

Age Levels

14 - 17 years


Introduce students to:
number systems used in computing: binary, hexadecimal.
how color is displayed on digital devices.
how and why additive color is represented as a single number.
why there are millions of colors available on mobile devices and computer screens.

Anticipated learner outcomes

Students will demonstrate/explain:
how information is stored in binary, and represented in hexadecimal form.
how additive color is represented in binary and hexadecimal.
how to add and subtract hexadecimal numbers.

Optional Writing Activity

Write a short report summarizing how additive color is represented in digital computers.
King's Quest
Roberta Williams

Video games immerse users in a world of high tech thrills, stunning visuals, unique challenges, and interactivity. They enable users to become a warrior princess or a gruesome ghoul, create a virtual persona, or even develop worlds that other gamers can play on. But before the games of today became reality, they were the dreams of a few innovative individuals.

Roberta Williams is considered one of the pioneers of gaming as we know it today. During the 80’s and 90’s along with husband Ken Williams through their company On-Line Systems, she developed some of the first graphical adventure games. These included such titles as Mystery House, Wizard and the Princess and the popular King’s Quest series. Williams also helped introduce more girls and women to the world of gaming by bringing games developed from a woman’s perspective to mainstream market.

RISC processor
John Hennessy
John Hennessy

Have you ever wondered how computers can execute complex commands in mere seconds? John Hennessy is a pioneer of reduced instruction set computing (RISC) architecture which employs small, highly-optimized sets of instructions to greatly enhance computer performance. He was instrumental in transferring the technology, specifically MIPS RISC architecture, to industry. He co-founded MIPS Technologies and co-authored the classic textbook with David A. Patterson, on Computer Architecture.

As Stanford faculty he rose to be the Chairman of the Computer Science Department, Dean of the School of Engineering, then Provost and finally the President of Stanford in 2000 (and till date). Hennessy holds a Master’s and Ph.D. in Computer Science from SUNY Stony Brook. He is an IEEE Fellow and was selected to receive the IEEE Medal of Honor in 2012. Hennessey also launched significant activities that helped to foster interdisciplinary research in the biosciences and bioengineering at Stanford.

Liz Gerber - Image credit Lisa Beth Anderson
Liz Gerber
Liz Gerber - Image credit Lisa Beth Anderson

Liz Gerber earned her MS and PhD in Product Design and Management Science and Engineering at Stanford. She specializes in design and human-computer interaction, particularly how social computing supports the innovation process. Her current research investigates crowd-funding as a mechanism for reducing disparities in entrepreneurship.
Gerber's work funded by the US National Science Foundation and the National Collegiate Inventors and Innovators Alliance has appeared in peer-reviewed journals, including Transactions on Computer Human Interactions, Design Studies, and Organization Science.
As an award-winning teacher and researcher, Liz has touched the lives of more than 6,000 students through her teaching at Northwestern's Segal Design Institute and Stanford University's Hasso Plattner's Institute of Design and through her paradigm-shifting creation, Design for America, a national network of students using design to tackle social challenges.

Image credit - Lisa Beth Anderson

Bletchley Park
Dr. Sue Black
Dr. Sue Black

Dr. Sue Black has demonstrated the power of social networking. She used Web 2.0 technologies to help raise awareness of, and critical funding for, Bletchley Park, the UK World War II center for decrypting enemy messages. She has also been an active campaigner for equality and support for women in technology fields, founding a number of online networking platforms for women technology professionals. A keen researcher, Dr. Black completed a PhD in software measurement in 2001. Her research interests focus on software quality improvements. She has recently won the PepsiCo Women's Inspiration Network award, been named Tech Hero by ITPRO magazine and was awarded the first John Ivinson Award from the British Computer Society. In 2011 Dr. Black set up The goto Foundation, a nonprofit organization which aims to make computer science more meaningful to the public, generate public excitement in the creation of software, and build a tech savvy workforce. Read Sue's blog about The goto Foundation:

MATLAB graph
Cleve Moler

Cleve Moler improved the quality and accessibility of mathematical software and created a highly respected software system called MATLAB. He was a professor of mathematics and computer science for almost 20 years at the University of Michigan, Stanford University, and the University of New Mexico. In the late 1970’s to early 1980’s he developed several mathematical software packages to support computational science and engineering. These packages eventually formed the basis of MATLAB, a programming environment for algorithm development, data analysis, visualization, and numerical computation. MATLAB can be used to solve technical computing problems faster than with traditional programming languages, such as C, C++, and Fortran. Today, Professor Moler spends his time writing books, articles, and MATLAB programs.

Listen to what Professor Moler has to say about his life’s work:

Image credits