Number Systems Humans use the decimal number system to ...

2's. The third column starts with 0 and alternates 0,0,0,0, 1,1,1,1–that is, it alternates by 4's.
Finally, the leftmost column starts at 0 and alternates by 8's: 8 zeroes followed by 8 ones. If you
can remember that, you can easily reproduce the binary column and the entire chart.
Binary to Hexadecimal Conversion
Now that we've seen all three number systems, there are two more conversions to learn--
binary to hex and hex to binary--but they will turn out to be quite easy with the revised chart.
Here is the algorithm for converting from binary to hexadecimal:
1. write down the binary number
2. divide it into groups of 4 digits, starting at the RIGHT side
3. look up each group of 4 digits in the chart above, and write the corresponding hex digit
below the group of digits.
Remember that long scary number we suggested you memorize? Let's convert it to hex:
10101001010001111011110
Divided into groups of 4, it becomes the following:
101 0100 1010 0011 1101 1110
Note that the reason we start dividing into groups on the right is so that if any group
has fewer than 4 digits, that group will be the one on the left, where we can pad it with
leading zeroes without changing the value of the number.
Now, let's look each group of digits up in the chart:
1110 is E, so we write E under 1110:
101 0100 1010 0011 1101 1110
E
1101 is D and 0011 is 3:
101 0100 1010 0011 1101 1110
3 D E
1010 is A and 0100 is 4:
101 0100 1010 0011 1101 1110
4 A 3 D E
Finally, 101 is 5 (it's the same as 0101):
101 0100 1010 0011 1101 1110
5 4 A 3 D E
The number in hex is 54A3DE. Can you memorize that in 10 seconds? You are a lot more likely
to be able to memorize 6 hex symbols rather than 23 bits. That's why computer scientists use