How to convert hexadecimal to binary? hexadecimal to decimal? hexadecimal to octal?

Question

I already know the following conversion:

-decimal to binary/octal/hexadecimal.
-binary to decimal/octal/hexadecimal
-octal to decimal/binary/hexadecimal

Answer 1

This site should help you better understand how to convert from one base system to another.

http://www.csupomona.edu/~vmsmith/index391/391baseconvrules.htm

Answer 2

To convert hex to binary and octal to binary are direct conversions.

A hex digit will form a binary number of 4 bits (binary digits)

An octal digit will form a binary number or 3 bits.



So

2AD

will become

0010 1010 1101

and

234 octal

will become

010 011 100



To convert from hex to octal and octal to hex it is therefore easier to go via binary because this is a simple conversion.



If I take my first hex example 2AD

0010 1010 1101

Group this into threes from the right

001 010 101 101

is

1255 octal.



Also use the windows calculator in scientific mode to check your answers.



I hope this helps.

Answer 3

Binary is easy enough: set string var to '' while number >=2 get your number divide it by 2 if the remainder is 1 add '1' to end of string if remainder is 0 add '0' to end of string. end while The same kind of idea will hold for octal but for hex you're going to need to use a case statement to figure out the ABCDEF bits. Hope that helps!