Binary

[ImLostAgain]

Not sure this is the correct topics section but here goes.
What does this binary code mean and how do you work it out?
110111/101/1111010
1/100101/1100100010
Thank you.

[zebo]

The 1s represent a power of 2, ie, 0,2,4,8,16,,,.

So 100001 would be , from the right , 1 +0+0+0+0+32 = 32
(1, 2, 4, 8, 16, 32)

110111 = 1+2+4+0+16+32, again from the right ,=55

[zebo]

Whoops, should be the powers of 2, 1,2,4,8,16,etc

[Jackdaw33]

Do you not mean 33, Zebo?

[Jackdaw33]

0 1 2 4 8 16 32 etc.

[ImLostAgain]

Phew this is tough when your a certain age.
It's a starting point for me so I'll study what you say.

[Prudie]

If you're old enough to remember H T U (hundreds tens and units) it's just the same except instead of going up in powers of 10 it goes up in powers of 2 so the first 6 columns would be 32 16 8 4 2 1 (as zebo has said and yes he means 33)

[Jackdaw33]

Well-explained, Prudie. I found it easiest to draw columns labelling them from right to left, 1 2 4 etc. Underneath fill them in with a 0 or 1 then add up all the 'ones'.

[stob]

32 16 8 4 2 1
1 1 0 1 1 1
Added together as Jackdaw33 says = 55

[ImLostAgain]

Sadly I am able to remember HTU :(.
That said I'm trying this so my grandson doesn't think I'm totally decrepit.
Time will tell.
Thank you all.

[Quizproquo]

What happens when you get past 10, like 19 x 16. Do you then add another 0 or 1 to the left and is that column then 32?

[Jackdaw33]

19 x 16 = 304 = 100110000 in binary.

[Old_Geezer]

You mention code rather than refer to base 2 numbers specifically. As code it only means what your computer processor interprets it to mean. And that's a whole new ball game.

I assume that the slashes you show are just being used to separate the binary numbers as I don't think you are likely to be suggesting a complex division 'sum' :-) Probably best to ignore the slashes then, perhaps replace by new lines ?

I suspect you can find plenty of binary exercises/tuition on the Net. Once mastered you can then search out info on ones' complement and twos' complement, and really dazzle your grandson ;-)