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 Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

 September 18th, 2017, 11:14 AM #1 Member   Joined: Aug 2017 From: India Posts: 54 Thanks: 2 Hex to decimal conversion I know how to convert hex to decimal and vice versa. So many times in my work I have to convert from hex to decimal, and I always use a calculator. Are there any simple methods to do it without a calculator? Sorry if the question is not related to here. Last edited by skipjack; September 21st, 2017 at 06:52 AM. September 18th, 2017, 11:32 AM #2 Senior Member   Joined: May 2016 From: USA Posts: 1,310 Thanks: 551 I fear that there is no shortcut to doing it manually. September 18th, 2017, 04:03 PM   #3
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 Originally Posted by MathsLearner123 I know how to convert hex to decimal and vice versa. So many times in my work I have to convert from hex to decimal, and I always use a calculator. Are there any simple methods to do it without a calculator? Sorry if the question is not related to here.
If you're doing it that regularly, maybe get an app on your phone instead of using a calculator.

Last edited by skipjack; September 21st, 2017 at 06:53 AM. September 18th, 2017, 11:15 PM #4 Senior Member   Joined: Apr 2014 From: UK Posts: 954 Thanks: 341 I use the windows calculator, it has a programming mode where you can swap between hex and decimal numbers on the fly. I use it often and just leave it open (I usually have 2 or 3 open if I'm honest, lol) September 18th, 2017, 11:48 PM   #5
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 Originally Posted by weirddave I use the windows calculator, it has a programming mode where you can swap between hex and decimal numbers on the fly. I use it often and just leave it open (I usually have 2 or 3 open if I'm honest, lol)
I only noticed the additions to the built in calc the other week. It's quite nice! September 19th, 2017, 03:58 AM #6 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 To convert from decimal to hex, divide by 16. For example, 3244, divided by 16, is 202.75 - that is, quotient 202 with remainder 12. 3244 = (202)(16) + 12. 202, divided by 16, is 12.625 - that is, quotient 12 with remainder 10. 202 = 12(16) + 10, so 3244 = (12(16) + 10)(16) + 12 = 12(16^2) + 10(16) + 12. Writing 10 = A and 12 = C, that is CAC in hexadecimal. Going from hexadecimal to decimal would be the same thing if we could easily divide in hexadecimal. If not, use the definition of hexadecimal: 3A2F in hexadecimal is $\displaystyle 3(16^3)+ 10(16^2)+ 2(16)+ 15= 3(4096)+ 10(256)+ 32+ 15= 12288+ 2560+ 32+ 15= 14895$ in decimal. Last edited by skipjack; September 19th, 2017 at 08:42 AM. September 19th, 2017, 11:45 PM #7 Senior Member   Joined: Apr 2014 From: UK Posts: 954 Thanks: 341 That example is exactly why I use the windows calculator, I only have to input one set of digits one time, which is the only time I can introduce an error. (I could of course input a hex number such as 1234 while in decimal mode and accidentally convert that to hex, instead of the other way round). When I have had to do it manually, I start from the left (using 3A2F as the example): 3 There's a digit to its right, so multiply by 16 then add the next digit (3*16) + A = 58 There's a digit to its right, so multiply by 16 then add the next digit (58*16) + 2 = 930 There's a digit to its right, so multiply by 16 then add the next digit (930*16) + F = 14895 No more digits so we have the answer Thanks from Country Boy September 20th, 2017, 04:48 AM #8 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 weirddave's weird method works because 3(16^3)+ 10(16^2)+ 2(16)+ 15= (3(16)+ 10)(16^2)+ 2(16)+ 15= (3(16)+ 10(16)+ 2)(16)+ 15. September 21st, 2017, 02:17 AM #9 Senior Member   Joined: Apr 2014 From: UK Posts: 954 Thanks: 341 It's also easier to do with a calculator, because you are always working with the last result rather than calculating each part separately then adding them, really long strings of Hex are easy, if you use the 16^n method there are a lot of numbers to add up at the end. The last part in CBs post above should be (((3(16)+10)(16)+2)(16)+15 Another way to explain how it works is that the 3 is multiplied by 16 3 times during the calculation process, which is the same as 16^3, the 10 is multiplied 2 times during the process (16^2) and the 2 by 16 once. Tags conversion, decimal, hex Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Lpitt56 Algebra 5 February 29th, 2012 06:28 AM demipaul Linear Algebra 2 November 19th, 2009 05:42 AM DannyMath Elementary Math 3 October 2nd, 2009 09:49 PM DannyMath Algebra 1 October 2nd, 2009 08:35 PM tintincute Applied Math 14 October 14th, 2008 06:22 AM

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