![]() |
October 26th, 2013, 08:24 AM | #1 |
Senior Member Joined: Oct 2012 Posts: 460 Thanks: 0 | 0.1 binary
Hello! Please, as far as there are no problems to turn decimal numbers to binary, I just stuck at turning 0.1 to binary system. 0.1 : 2 = 0. rest 0.05 :2 = 0 rest 0.025 : 2 = o rest ... and the result should be infinite number containing 1s too: 0.00011001100110011 How do they get these 1s at all cause you can all the rational numbers divide with 2... Please, can someone help? Many thanks! |
![]() |
October 26th, 2013, 09:13 AM | #2 | |
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 407 | Re: 0.1 binary Hello, ungeheuer! Quote:
Here is one way . . . Assume that 0.1 (base ten) equals some decimal in base two. [color=beige]. . [/color] And we see that we have a repeating pattern. [color=beige]. . [/color] | |
![]() |
October 26th, 2013, 09:14 AM | #3 |
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs | Re: 0.1 binary In binary this is: Dividing by 2 moves the decimal point to the left one place, thus: |
![]() |
October 26th, 2013, 09:33 AM | #4 |
Global Moderator Joined: Dec 2006 Posts: 20,263 Thanks: 1958 |
Or use long division... Code: 0.000110011 __________________ 1010 |1.0000000000 1010 ---- 1100 1010 ---- 10000 1010 ---- 1100 1010 ---- etc. |
![]() |
![]() |
|
Tags |
binary |
Search tags for this page |
Click on a term to search for related topics.
|
Thread Tools | |
Display Modes | |
|
![]() | ||||
Thread | Thread Starter | Forum | Replies | Last Post |
binary numbers | mhhojati | Number Theory | 3 | November 5th, 2013 11:04 PM |
binary operation | bewade123 | Abstract Algebra | 3 | February 16th, 2012 07:27 AM |
binary composition | poojabi | Abstract Algebra | 1 | November 25th, 2010 02:54 PM |
binary composition | poojabi | Abstract Algebra | 1 | November 7th, 2010 10:06 AM |
Binary is hacked | g_litched | Algebra | 0 | March 23rd, 2010 09:53 AM |