binary numbers & computing

01000010 01101001 01101110 01100001 01110010 01111001 00100000 01001110 01110101 01101101 01100010 01100101 01110010 01110011 00100000 01100001 01101110 01100100 00100000 01000011 01101111 01101101 01110000 01110101 01110100 01101001 01101110 01100111:

01000010 01101001 01101110 01100001 01110010 01111001 00100000 01001110 01110101 01101101 01100010 01100101 01110010 01110011 00100000 01100001 01101110 01100100 00100000 01000011 01101111 01101101 01110000 01110101 01110100 01101001 01101110 01100111 (Binary Numbers and Computing) By Nick Shuman ECOMP 7100 w/Mark Jackson Assignment #2

What is “Binary?”:

What is “Binary?” 0 1

A Little Bit of History:

A Little Bit of History Pingala (circa 5th-2nd century B.C.) An Indian scholar, used binary numbers in the form of short and long syllables (think Morse code).

A Little Bit of History:

A Little Bit of History Gottfried Leibniz (1679) Is credited with documenting the modern binary number system.

A Little Bit of History:

A Little Bit of History George Boole (1854) Created algebraic system of logic called Boolean algebra Critical to the design of the digital electronic circuitry

A Little Bit of History:

A Little Bit of History George Stibitz (1937) Created the “Model K ,” a relay-based computer built in his K itchen. 1940: Debuted the Complex Number Computer, able to calculate complex numbers via remote commands over telephone lines.

Slide 7:

http:// www.you tube.com/watch?v=8vu3Zz MOUZk

You Do The Math:

You Do The Math When we talk numbers, we use a base-10 system, because we use ten characters to write out all of our numbers. Computers using binary language operate on a base-2 number system, because the two numbers they use are “0” and “1”. 0 1 2 3 4 5 6 7 8 9 0 1 Each is a b inary dig it or “bit”

Alphabet Soup:

Alphabet Soup Our class uses the English language consisting of 26 characters, arranged together in a variety of ways, to communicate. Computers use binary language consisting of 2 characters, arranged together in groups of eight, to communicate. Aa Bb Cc Dd Ee Ff Gg Hh Ii Jj Kk Ll Mm Nn Oo Pp Qq Rr Ss Tt Uu Vv Ww Xx Yy Zz Aa = 01000001 01100001 Zz = 01011010 01111010 8 bits = 1 byte

The Byte Scale:

The Byte Scale

Hands-on Activity1:

Hands-on Activity 1 Calculate how many bytes are in a 500 GB hard drive. How many bytes are in a 64 MB memory chip? The 3 1/2” floppy disk held 3.5 MB of data. How many kilobytes is that? [ http://computer.howstuffworks.com/bytes3.htm ]

Hands-on Activity2:

Hands-on Activity 2 Your computer just received the following binary message from the keyboard. Translate the message into English. 01001000 01100101 01111001 00101100 00100000 01111001 01101111 01110101 00100111 01110110 01100101 00100000 01101100 01100101 01100110 01110100 00100000 01110100 01101000 01100101 00100000 01000011 01000001 01010000 01010011 00100000 01101100 01101111 01100011 01101011 00100000 01101011 01100101 01111001 00100000 01101111 01101110 00100001 [ http://home2.paulschou.net/tools/xlate/ ]

Hands-on Activity3:

Hands-on Activity 3 Use your math skills to calculate the binary number for the base-10 number provided. (Use the link above if you need a quick skills refresh) [ http://www.youtube.com/watch?v=qdFmSlFojIw ] __ = __ __ __ __ 2 4 2 3 2 2 2 1 2 0 16 8 4 2 1 21

Hands-on Activity3:

Hands-on Activity 3 [ http://www.youtube.com/watch?v=qdFmSlFojIw ] __ = __ __ __ __ 2 4 2 3 2 2 2 1 2 0 16 8 4 2 1 7 __ = __ __ __ __ 2 4 2 3 2 2 2 1 2 0 16 8 4 2 1 32

Hands-on Activity4:

Hands-on Activity 4 Use your math skills to translate the binary language into the number it represents. (Use the link above if you need a quick skills refresh) [ http://www.youtube.com/watch?v=qdFmSlFojIw ] 0 = 0 0 1 1 2 4 2 3 2 2 2 1 2 0 16 8 4 2 1 __

Hands-on Activity4:

Hands-on Activity 4 [ http://www.youtube.com/watch?v=qdFmSlFojIw ] 1 = 1 0 0 1 2 4 2 3 2 2 2 1 2 0 16 8 4 2 1 __ 0 = 1 1 0 0 2 4 2 3 2 2 2 1 2 0 16 8 4 2 1 __

References:

References “Binary numeral system.” Wikipedia. March 7, 2011. http://en.wikipedia.org/wiki/Binary_numeral_syste m Brain, Marshall.  "How Bits and Bytes Work"  April 1, 2000.  HowStuffWorks.com. < http://www.howstuffworks.com/bytes.ht m >  08 March 2011. “Computer Science Unplugged.” YouTube. March 8, 2011. http://csunplugged.org/binary-number s "MathCrazyTutoring (Producer). (2007). Binary Numbers in 60 Seconds [Web]. Available from http://www.youtube.com/watch?v=qdFmSlFojI w Nyle, B. (Actor). (2001). Computers [Web]. Available from http:// www.youtube.com/watch?v=8vu3ZzMOUZ k “Translator, Binary” March 7, 2011. http://home2.paulschou.net/tools/xlate/