7/27/2019 Easy Way to Count in Binary 1s and 0s

1/5

http://www.instructables.com/id/Easy-way-to-count-in-Binary-1s-and-0s/

Home Sign Up! Browse Community Submit

All Art Craft Food Games Green Home Kids Life Music Offbeat Outdoors Pets Photo Ride Science Tech

Easy way to count in Binary! 1's and 0'sby Geeko on July 14, 2009

Table of Contents

Easy way to count in Binary! 1's and 0's .............................................................................................

Intro: Easy way to count in Binary! 1's and 0's .....................................................................................

Step 1: Preparing ..........................................................................................................

Step 2: Analyze the number ..................................................................................................

Step 3: There is your binary number! ............................................................................................

Related Instructables ........................................................................................................

Comments ................................................................................................................

http://www.instructables.com/member/Geeko/?utm_source=pdf&utm_campaign=titlehttp://www.instructables.com/tech?utm_source=pdf&utm_campaign=categorieshttp://www.instructables.com/science?utm_source=pdf&utm_campaign=categorieshttp://www.instructables.com/ride?utm_source=pdf&utm_campaign=categorieshttp://www.instructables.com/photography?utm_source=pdf&utm_campaign=categorieshttp://www.instructables.com/pets?utm_source=pdf&utm_campaign=categorieshttp://www.instructables.com/outdoors?utm_source=pdf&utm_campaign=categorieshttp://www.instructables.com/offbeat?utm_source=pdf&utm_campaign=categorieshttp://www.instructables.com/music?utm_source=pdf&utm_campaign=categorieshttp://www.instructables.com/life?utm_source=pdf&utm_campaign=categorieshttp://www.instructables.com/kids?utm_source=pdf&utm_campaign=categorieshttp://www.instructables.com/home?utm_source=pdf&utm_campaign=categorieshttp://www.instructables.com/green?utm_source=pdf&utm_campaign=categorieshttp://www.instructables.com/games?utm_source=pdf&utm_campaign=categorieshttp://www.instructables.com/food?utm_source=pdf&utm_campaign=categorieshttp://www.instructables.com/craft?utm_source=pdf&utm_campaign=categorieshttp://www.instructables.com/art?utm_source=pdf&utm_campaign=categorieshttp://www.instructables.com/about/submit.jsp?utm_source=pdf&utm_campaign=titlehttp://www.instructables.com/community?utm_source=pdf&utm_campaign=titlehttp://www.instructables.com/tag/type-id/?utm_source=pdf&utm_campaign=titlehttp://www.instructables.com/account/gopro?sourcea=inside_pdfhttp://www.instructables.com/?utm_source=pdf&utm_campaign=title

7/27/2019 Easy Way to Count in Binary 1s and 0s

2/5

http://www.instructables.com/id/Easy-way-to-count-in-Binary-1s-and-0s/

Author:Geeko author's website

I just love, inventing or just coming up with ideas. I have came up with tons of ideas just never had the money to work on them. As for now I'm still broke buwill do my best to accomplish/ or make new projects.

Intro: Easy way to count in Binary! 1's and 0'sHave you every wanted to count like a computer, or just wondered how computers count this is the instructable for you!

First we need a little information of binary. Computers have 2 numbers in there system except there not numbers there switches. 1 meaning "ON" (like a light bulb) or meaning "OFF"

So...

10110011

would be...

On, off, on, on, off, off, on, on

Then the computer interprets that into its numbering system, which later may convert it into ASCII . Correct 8-bit binary only has 8 digits. There are 16, 32, 64, and 12bit processors that take more numbers than just 8 at a time. This tutorial is for 8-bit.

Materials:Paper and Pencil(optional) Genius to help

Step 1:PreparingOn the paper write this on the top.

This is the 8-bit binary cheat sheet. Column 8 (the one all the way to the right) is 1, column 7 is just a double of the earlier column, etc.

"Binary Cheat Sheet:

128 - 64 - 32 - 16 - 8 - 4 - 2 - 1"

and pick a number between 1 and 255

My number is 175

http://en.wikipedia.org/wiki/ASCIIhttp://geekoprojects.wordpress.com/http://member/Geeko/http://member/Geeko/

7/27/2019 Easy Way to Count in Binary 1s and 0s

3/5

http://www.instructables.com/id/Easy-way-to-count-in-Binary-1s-and-0s/

Step 2:Analyze the numberAnalyzing your number is very easy, here how i t works.

Get your paper and right down your number under your Cheat Sheet.

First does the first number (128) fit in your number? The reason you check this, is because it helps you know if it is a 1 or a 0. Which makes up your number.

128 fits 175

If so subtract your number by the number you checked, then repeat for the rest of the numbers. Also if it did fit that means its a 1 and if it doesn't its a zero. This prepathe number for the next digit in the binary number.

so I'll start over...

175 - 128 = 47 *it fits so its a one* (1 _ _ _ _ _ _ _)

47 - 64 = -17 *Invalid so its a zero* (10 _ _ _ _ _ _)

47 - 32 = 15 *it fits so its a one* (101 _ _ _ _ _)

15 - 16 = -1 *Invalid so its a zero* (1010 _ _ _ _)

15 - 8 = 7 *it fits so its a one* (10101 _ _ _)

7 - 4 = 3 *it fits so i ts a one* (101011 _ _)

3 - 2 = 1 *it fits so i ts a one* (1010111 _)

1 - 1 = 0 *it fits so i ts a one* (10101111)

If you didn't get zero you did something wrong and go back and check your work.

Step 3:There is your binary number!If you did everything correctly, you should have a 8 digit number. Like so, 10101111.

Thanks for reading my instructable.

7/27/2019 Easy Way to Count in Binary 1s and 0s

4/5

7/27/2019 Easy Way to Count in Binary 1s and 0s

5/5

http://www.instructables.com/id/Easy-way-to-count-in-Binary-1s-and-0s/

karossii says: Jul 14, 2009. 6:51 PM REPAs a side not, binary numeral systems date back to BC days, I believe documented back to about 800BC or so if memory serves, and used as many (or fewdigits as needed for the number to be represented; and the (similarly dated BC) Chinese binary systems used 3 digit and 6 digit groupings for their binarynumbers. bits/bytes or binary octets (another term for using 8 binary digits) are a result of the computer age (as far as I know - I could be mistaken).

karossii says: Jul 14, 2009. 6:48 PM REPone comment - 'correct' binary is simply a base2 system of counting, and has anywhere from 1 digit to as many as are needed. That would be like trying tosay correct decimal has 9 digits (or 5 digits or 12 digits, etc.). What you are referring to is a binary 'byte' which has 8 'bits' of data... t ues the binary systembut it is not the binary system. For example, this is a perfectly proper binary number; 1110010100101, which equates to 4096+2048+1024+128+32+4+1 o7,333 in decimal. And this is (outside of a computer) a stupid way to write a binary number; 00000011. That equates to 3 in decimal, but would be like writiout "0000003" - why waste 6 leading zeros for nothing? Your instructable is partially correct, but also very misleading. You should either rename it and clarthat you are instructing on bits/bytes of data, or remove the 8 digit qualification you reference throughout.

http://www.instructables.com/id/Easy-way-to-count-in-Binary-1s-and-0s/?utm_source=pdf&utm_campaign=comments#DISCUSShttp://www.instructables.com/member/karossii/?utm_source=pdf&utm_campaign=commentshttp://www.instructables.com/member/karossii/?utm_source=pdf&utm_campaign=commentshttp://www.instructables.com/id/Easy-way-to-count-in-Binary-1s-and-0s/?utm_source=pdf&utm_campaign=comments#DISCUSShttp://www.instructables.com/member/karossii/?utm_source=pdf&utm_campaign=commentshttp://www.instructables.com/member/karossii/?utm_source=pdf&utm_campaign=comments