Date: 12/25/95 at 22:42:18 From: Bruce Zaktzer Subject: Binary Number Systems Dear Dr. Math: My name is Courtney Zaktzer, I am in 9th grade and I am doing a project on Binary Numbers and Systems. I am having a difficult time finding information about this topic and would ask for your help to find information about binary numbers. Thank You, Courtney Zaktzer
Date: 3/18/96 at 2:9:9 From: Doctor Jodi Subject: Re: Binary Number Systems Hi there! I think what you're talking about is base two. Different bases are REALLY cool. One base we use every day is base 60 - can you think of where we use it? This is a tradition that the Babylonians left us... I believe that base 10 was popularized by the Arabs (who gave us the numerals currently in use). Base two is best known for its use in computing: 0 and 1 can represent off and on, yes and no, etc. Any numbers can be written in binary. Have you learned about this yet? Well, here's a brief intro, just in case... Here's what Dr. Steve said: We have ten symbols for counting (0,1,2,3,4,5,6,7,8,9). So what do we do when we need to use numbers higher than 9? We make different places in our numbers and know that each place has a different meaning. The first place is the "ones" place. The second is the "tens". The third is the "hundreds" and so on. Each place is ten times greater than the one to its right. So the number 159 means: 1 hundred + 5 tens + 9 ones ----end notice: 10^2 10^1 10^0 (aka 1) in base 2, the places are similar: Instead of being 100, 10, 1, they are 4(2^2), 2 (2^1), 1 (2^0), etc. So, what does 1011 mean? Anyway, write us back with more questions or if you want to know more. -Doctor Jodi, The Math Forum
Date: 3/18/96 at 9:49:50 From: Bruce Zaktzer Subject: Re: Binary Number Systems All, Thank you for the information. It arrived just in time to complete the project! CZ
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