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youtube khan academy
Binary Numbers and How they Relate to Decimal Numbers
Forget all this introductory text and just click on Vi Hart's
Binary Finger Dancing
Video at youtube :-)
Humans started counting with our 10 fingers, (2 hands with 5 fingers each) as an animal species with a developing brain, long ago...
and came up with the numbers: 1,2,3,4,5,6,7,8,9,10....
(Though NOT written as these symbols, which are the modern conventional symbols we use today...)
Which is why we call our number system a "decimal" (= 10 or "base 10") system
which actually consists of the 10 digits: 0,1,2,3,4,5,6,7,8,9
The number "Ten" in the Ancient Roman Number System was represented by the capital letter "X"
The Roman Numerals that you sometimes see on old buildings, or in old books are as follows:
I, II, III, IV, V, VI,VII,VIII, IX, X... representing: 1,2,3,4,5,6,7,8,9,10...
Sometimes dates/years in history are still written with the old Roman Numerals:
such as: 1968 = MCMLXVIII MCM = 1900 + LXVIII = 68
M = 1,000
CM = 900
LXVIII = 68
L = 50
C = 100
and This year: 2011 = MMXI ....
But getting back to our contemporary number symbols: 1,2,3,4,5,6,7,8,9.10.....
Something Really Big Happened during the 1900's in the United States of America:
Preface starting back in England in 1854: (from Wikipedia)
published a landmark paper detailing an
that would become known as
. His logical calculus was to become instrumental in the design of digital electronic circuitry.
In the United States: (from Wikipedia)
produced his master's thesis at
that implemented Boolean algebra and binary arithmetic using electronic relays and switches for the first time in history.
A Symbolic Analysis of Relay and Switching Circuits
Shannon's thesis essentially founded practical
In November 1937,
, then working at
, completed a relay-based computer
he dubbed the "Model K" (for "
K**itchen", where he had assembled it), which calculated using binary addition.
Bell Labs thus authorized a full research programme in late 1938 with Stibitz at the helm.
Recent photograph of Bell Labs HQ: The reason the building looks like a Fortress is because it is...
They do National Security Technology Research there; they don't want any tourists coming by... :-)
Their Complex Number Computer, completed January 8, 1940, was able to calculate
In a demonstration to the
American Mathematical Society
on September 11, 1940, Stibitz was able to send the Complex Number Calculator remote commands over telephone lines by a
It was the first computing machine ever used remotely over a phone line.
Some participants of the conference who witnessed the demonstration were
John von Neumann
, who wrote about it in his memoirs.
The Computer was invented!
And it functions with "digital circuit boards", which use binary electrical (on-off) switches, which means that everything about computers and other "digital devices" use the Binary Number System!
That is why learning about binary numbers is important and it is the first lesson in Computer Science.
So here is an introductory youtube video from the Khan Academy (online learning) about
How Binary Numbers are Related to Decimal Numbers and how you can convert one type of number into the other...
and here is a "cheat sheet chart" to help you through the "blah, blah, blah..." video :-)
help on how to format text
Turn off "Getting Started"