# NSBE - Convention 2018 - 55

```MATH TIPS

The 'Power of Two' Cards Game
In trod uc ed by Mich ae l D. A ls t on, P h.D ., Q ualcom m Technologies , I nc.

One of the first things a student learns when studying how computers work is binary numbers. The Winter 2017 "Math
Tips" column introduced binary numbers. Below is a game you can play with family, friends or classmates that is
based on binary numbers.
VALUE OF THE GAME
Playing this game, which is called the Power of Two Cards Game, provides insight into how computers store numbers. The "Yes" and
"No" responses correspond to "1" and "0" digits used to represent a number in binary.

HOW TO PLAY
By asking only four questions, the first player can know the number (between 0 and 15, inclusive) that the second player is thinking.
Let's call the first player "the Engineer" and the second player "the Intern."
➤ The Engineer asks the Intern to think of a number from 0 to 15 (inclusive).
➤ The Engineer shows the Intern Card A then Card B then Card C and, last, Card D.
➤ While showing each card, the Engineer asks the Intern, "Is your number on this card?"
➤ The Engineer then silently adds to a running Total (in his/her head). To start, Total = 0.
a) If the Intern says "Yes" to Card A, add 8 to Total, if "No," add 0 to Total.
b) If Intern says "Yes" to Card B, add 4 to Total, if "No," add 0 to Total.
c) If Intern says "Yes" to Card C, add 2 to Total, if "No," add 0 to Total.
d) If Intern says "Yes" to Card D, add 1 to Total, if "No," add 0 to Total.
Below is a set of four double-sided Power of Two Cards that you can tear out and practice with:

D

B

NATIONAL
A
SOCIETY OF BLACK ENGINEERS

NATIONAL
A
SOCIETY OF BLACK ENGINEERS

2018 Pittsburgh, Pa.

2018 Pittsburgh, Pa.

Power of Two Cards

Power of Two Cards

Beginner Set (4)

Beginner Set (4)

C

NATIONAL
A
SOCIETY OF BLACK ENGINEERS

NATIONAL
A
SOCIETY OF BLACK ENGINEERS

2018 Pittsburgh, Pa.

2018 Pittsburgh, Pa.

Power of Two Cards

Power of Two Cards

Beginner Set (4)

www.nsbe.org

A

Beginner Set (4)

CONTINUED ON PAGE 56

✁

| CONVENTION 2018 | 55

```
http://www.nsbe.org

Contents
NSBE - Convention 2018 - Cover1
NSBE - Convention 2018 - Cover2
NSBE - Convention 2018 - 1
NSBE - Convention 2018 - Contents
NSBE - Convention 2018 - 3
NSBE - Convention 2018 - 4
NSBE - Convention 2018 - 5
NSBE - Convention 2018 - 6
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NSBE - Convention 2018 - 72
NSBE - Convention 2018 - Cover3
NSBE - Convention 2018 - Cover4
https://www.nxtbook.com/nxtbooks/nsbe/convention2020
https://www.nxtbook.com/nxtbooks/nsbe/convention2019
https://www.nxtbook.com/nxtbooks/nsbe/convention2018
https://www.nxtbook.com/nxtbooks/nsbe/convention2017
https://www.nxtbook.com/nxtbooks/nsbe/fall2016
https://www.nxtbook.com/nxtbooks/nsbe/2016convention
https://www.nxtbook.com/nxtbooks/nsbe/fall2015
https://www.nxtbook.com/nxtbooks/nsbe/2015convention
https://www.nxtbook.com/nxtbooks/nsbe/winter2015
https://www.nxtbook.com/nxtbooks/nsbe/2014fall
https://www.nxtbook.com/nxtbooks/nsbe/2014convention
https://www.nxtbook.com/nxtbooks/nsbe/2013fall
https://www.nxtbook.com/nxtbooks/nsbe/2013convention
https://www.nxtbook.com/nxtbooks/nsbe/2013winter
https://www.nxtbook.com/nxtbooks/nsbe/2012fall
https://www.nxtbook.com/nxtbooks/nsbe/2012conference
https://www.nxtbook.com/nxtbooks/nsbe/2011winter
https://www.nxtbook.com/nxtbooks/nsbe/2011fall
https://www.nxtbook.com/nxtbooks/nsbe/NSBE_SalesBook_2011
https://www.nxtbook.com/nxtbooks/nsbe/2011convention
https://www.nxtbook.com/nxtbooks/nsbe/2010winter
https://www.nxtbook.com/nxtbooks/nsbe/2010fall
https://www.nxtbook.com/nxtbooks/nsbe/2010convention
https://www.nxtbook.com/nxtbooks/nsbe/2009winter
https://www.nxtbook.com/nxtbooks/nsbe/2009fall
https://www.nxtbook.com/nxtbooks/nsbe/confguide09
https://www.nxtbook.com/nxtbooks/nsbe/20090304
https://www.nxtbook.com/nxtbooks/nsbe/20090102
https://www.nxtbook.com/nxtbooks/nsbe/20081112
https://www.nxtbook.com/nxtbooks/nsbe/20080910
https://www.nxtbook.com/nxtbooks/nsbe/20080304
https://www.nxtbook.com/nxtbooks/nsbe/50sexiest08
https://www.nxtbook.com/nxtbooks/nsbe/20080102
https://www.nxtbookmedia.com