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
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| CONVENTION 2018 | 55
http://www.nsbe.org
Table of Contents for the Digital Edition of NSBE - Convention 2018
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
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