son struggling with binary in school.?

Question

he's just started learning binary, and i never remember doing it in math at school so im finding it hard to help him.

could somebody please post up a simple post on how to do binary. it would be very helpful. (he's 14)

Thank you.

Answer 1

Binary is simply expressing numbers in base 2, using only the digits 0 and 1.

Rules of addition:

0+0 = 0
0+1 = 1
1+0 = 1
1+1 = 10 (That's not "ten" that's "two")

Logical operations:

And:

0 and 0 = 0
0 and 1 = 0
1 and 0 = 0
1 and 1 = 1

Or:

0 or 0 = 0
0 or 1 = 1
1 or 0 = 1
1 or 1 = 1

Answer 2

For the kinds of problems a 14yo will be tested on, I agree...

I teach it to people who use it for things like local- and wide-area networking...they don't like it either

you can use my method for a sanity check

I start with 2 to the 10th power = 1024 (look familiar) or maybe you need to see 2 to the 11th power is 2048 or 2 to the 12th power is 4096

that way, half of 2 to the 10th is 2 to the 9th power or 512; and, half of that is 2 to the 8th power which is 256

count over "eight" places you get 1 0 0 0 0 0 0 0 0 (256)

if you had 8 ones you'd have 1 1 1 1 1 1 1 1 = 255

now add 1 to everything and you're back where you started
100000000 = 256

you can take this all the way down 2 to the 7th power is half of 256 or 128

half of 128 is 64 which is 2 to the 6th power 1 + 6 zer0s

half of 64 is 32 which is 2 to the 5th power 1 + 5 zer0s

half of 32 is 16 which is 2 to the 4th power 1 + 4 zer0s

half of 16 is 8 which is 2 to the 3rd power 1 + 3 zer0s

half of 8 is 4 which is 2 to the 2nd power (2 squared)

half of 4 is 2 which is 2 to the 1st power 1 + 1 zer0

half of 2 is 1 which is 2 to the zer0th power

say your birthday is October 29th you'd write 1029

but that's 1024 plus 5 and we know that 1024 is 2^10 and 5 is 1 more than 4...now we know that 4 is 1 + 0 + 0, and 5 is 4+1, so 1029 is
1 0 0 0 0 0 0 0 0 0 0 gives us 1024
1 0 0 gives us 4
add 1
1 0 0 0 0 0 0 0 1 0 1

Answer 3

All I know about Binary is that it consists of 0 and 1. When you run out of numbers, you move to the next place value (like in our base 10, from 0-9, when we get to ten, we use the next place value. With Binary, you have just the two numbers before you go ot the next place value.)

I am sorry I have not been much help. I do remember doing some Binary adding and subtracting for a computer class. It has been a while, though and I never got the hang of it.

I hope this site can help.
http://www.binarymath.info/

Answer 4

Binary is easy but it seems to make it hard,,

so you ONLY use ones and zeros

WHERE the ones are determines how MUCH they are worth ( weight)


so in the ones places a one is worth 1

in the tens places it is worth 2

in the hundereds place it is worth 4

the value doubles each place past the ones places..

so the thousands place is worth 8

so in binary

11 is equal to 3 in decimal

101 is equal to 9

binary 1 0 1
dec 4+0 +1 = 5

Binary 1 0 1 1
dec 8+0+2+1 = 11

post again is he needs to add or subtract i would hope they use calc for that