Converting

Binary to

Hexadecimal is easy, once you know the

technique. I will

dispense this technique... wait for it... now:

First, write your binary number down. It's easiest that way.

10110010

Now, divide that number into groups of four numbers:

1011 0010

Now, with each of these

groups, write

numbers underneath the letters, from

RIGHT TO

LEFT. These numbers start with one, and double each time, i.e. 1 2 4 8. Now you should have:

1011 0010
8421 8421

Now, for each digit, multiply the top digit by the bottom digit, and write it underneath, like this:

1011 0010
8421 8421
8021 0020

that is, if the binary digit it one, you write the number. If it's 0, you write 0.

Now, on the bottom line, for each group of four numbers, add them up:

8021 0020
8 + 0 + 2 + 1 = 11
0 + 0 + 2 + 0 = 2
11 2

Now, as you probably

know if you care enough to read this far,

Hexadecimal has

sixteen numbers. Here they are, with their

decimal equivilents:

Dec - Hex
0 --- 0
1 --- 1
2 --- 2
3 --- 3
4 --- 4
5 --- 5
6 --- 6
7 --- 7
8 --- 8
9 --- 9
10 -- A
11 -- B
12 -- C
13 -- D
14 -- E
15 -- F

Now, take any numbers that are above

nine and put in their

letter, i.e.

11 2
B 2

Now, take all the letters and numbers on the bottom line and put them togther in one number:

B2

And blammo, Binary to hexadecimal. With a bit of practice, you can learn to do this

in your head. Here are some more examples, to outline some other points:

Firstly, if the number of Binary digits doesn't divide into four nicely, add 0s onto the START until it does. Example:

1011101 changes to
01011101 then proceed as normal:
0101 1101
8421 8421
0401 8401
0 + 4 + 0 + 1 = 5
8 + 4 + 0 + 1 = 13
5 13
5 D
5D

Here is one final

example, with

comments that some people think are

easier to follow:

Original Binary: 1101011010001
Add '0's: 0001101011010001
Divide into little groups: 0001 1010 1101 0001
Write down 8421s: 8421 8421 8421 8421
Multiply: 0001 8020 8401 0001
Add the groups of 4 up: 1 10 13 1
But in letters if needed: 1 A D 1
Result: 1AD1

And that, my

friends, is how we convert

binary to

Hex. Next, I'll write up

Binary to Octal.