
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
April 16th, 2017, 03:19 AM  #1 
Newbie Joined: Nov 2016 From: iran Posts: 4 Thanks: 0  how do I convert binary to hexadecimal?
hi i wanted to know how to convert a binary(base 2) number to hexadecimal (base 16). i can do it by converting binary to decimal and decimal to hexadecimal but i want to know how i can do this conversion in one step. let's take 01100001 for example which equals to 97 in decimal and 61 in hexadecimal (i chose that number because every eight bit is one byte and if you show me how it's done using that number it would be much clearer. 
April 16th, 2017, 03:37 AM  #2 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 9,410 Thanks: 638  
April 16th, 2017, 04:23 AM  #3 
Math Team Joined: Jan 2015 From: Alabama Posts: 2,484 Thanks: 628 
16 (decimal) is (of course) 10 (hexadecimal) and 10000 (binary). Given any binary number, separate it into groups of 4 "bits" and convert each group to hexadecimal separately. For example, 10000 (binary) would be 1 and 0000. 1 (binary) is 1 (hexadecimal) and 0000 (binary) is 0 (hexadecimal). 10000 (binary) is 10 hexadecimal. For the numbers you give, 01100001 (binary), separate it to 0110 (binary) and 0001 (binary). 0110 (binary) is 0*8+ 1*4+ 1*2+ 0*1= 6 and 0001 (binary) is 0*8+ 0*4+ 0*2+ 1*1= 1 (obviously) so 01100001 (binary) is 61 (hexadecimal). Another example: 111001011010 separates as 1110, 0101, and 1010. 1110 is 1*8+ 1*4+ 1*2+ 0*1= 14 (D in hexadecimal), 0101 is 0*8+ 1*4+ 0*2+ 1*1= 5, and 1010 is 1*8+ 0*4+ 1*2+ 0*1= 10 (A in hexadecimal) so 111001011010 (binary) is D5A in hexadecimal. 
April 18th, 2017, 04:53 AM  #4  
Math Team Joined: Jan 2015 From: Alabama Posts: 2,484 Thanks: 628  Quote:
 

Tags 
binary, convert, hexadecimal 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
hexadecimal algorithm  Techmaster  Computer Science  7  August 26th, 2014 01:29 PM 
Binary to hexadecimal  Igo  Computer Science  3  September 7th, 2012 03:58 AM 
Hexadecimal Notation  Primalscientist  Computer Science  3  April 17th, 2011 03:31 AM 
Convert binary range with fixed number of zeros/ones  hansdejong  Number Theory  2  June 30th, 2009 04:15 PM 
I need some help on binary, hexadecimal and decimal numbers!  johnny  Computer Science  2  October 13th, 2007 02:00 PM 