How to study binary numbers in an interesting way?

Question

Can you suggest some interesting way by which studying binary numbers become easy. Sites on the same are also welcome

Answer 1

To start with, some operations on binary numbers are very funny. For example, if you want to divide a binary number by 2? just drop the right most bit.
1000 in binary is 8 in decimal. Now to divide 1000 by 2, drop the last bit! 100 is 4 in decimal that is 8/2. Simple. This holds good for any binary however huge it is.
Similarly want to multiply? write an additinal zero to the right end.

There is a good tutorial in the link bellow.

Answer 2

Well, one great advantage of binary numbers is that the flashcards you'd need for addition and multiplication are much less (than those for base 10 operations):

Addition ---------- multiplication
0 + 0 = 0 --------- 0x0=0
0 + 1 = 1 --------- 0x1=0
1 + 1 = 10 ---------1x1=1

But you do need a lot of digits to write large numbers!

Answer 3

I learned a lot of things about binary, hexadecimal, assembler,
int21, etc.... when I needed to hack some of Sierra-on-line
games in order to find a way to finish them back in 80's.

Answer 4

I would start by taking note of the fact that everything that computers do is based on the manipulation of 1's and 0's--realization of this is quite interesting and should motivate curiosity..