Page 38 - Programming With Python 3

An Introduction to STEM Programming with Python — 2019-09-03a Page 25
Chapter 2 — Numbering Systems

Convert 63987 to Hexadecimal:

Free __F3
63987 / 16 = 3999 r 3
___3
3999 / 16 = 249 r 15
249 / 16 = 15 r 9

F9F3
15 / 16 = 0 r 15 _9F3
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In Python we can convert to base 16 using code just like we did to convert to binary. We find the
remainder from 26 and divide by 26. Reading the remainders from bottom to top.

1| n=63987
2| r = n % 16
3| n = n //16
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4| print(n,r)
5| r = n % 16
6| n = n //16
7| print(n,r)
8| r = n % 16
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9| n = n //16
10| print(n,r)
11| r = n % 16
12| n = n //16
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13| print(n,r)

3999 3
249 15
15 9
0 15 Free

This can also be written using the while loop to simplify.

1| n=63987
2| while(n):
3| r = n % 16 eBook
4| n = n //16
5| print(n,r)

Edition
Hexadecimal to Decimal (Positional Method)

We can also convert from Hexadecimal to decimal by using the powers of 16.

Copyright 2019 — James M. Reneau Ph.D. — http://www.syw2l.org — This work is licensed
under a Creative Commons Attribution-ShareAlike 4.0 International License.