Question

Binary,

http://screencast.com/t/OwqhR80k1tS why is this equal to "0' when it clearly states that sum = 1? :O

Answer 1

yes, it's a mistake I guess.
It's half adder, isn't it?

Answer 2

What do you mean by half adder?

Answer 3

I think you are not studying that,
A B S C
0 0 0 0
0 1 1 0
1 0 1 0
1 1 0 1

Answer 4

Half Adder is a combinational circuit to implement addition in digital circuits

Answer 5

But on the other hand its binary, the Something + Something = Something logic may not apply as the rest of the mathematics

Answer 6

Yeah :)

Answer 7

Look at this http://screencast.com/t/4AhOHMx8AqL

My mind is blow

1 + 1 = 10 in normal Decimals it is 1 + 1 = 2

And it says that Sum= 0 and Carry = 1

How can I even get to that result?

Answer 8

Yeah in decimal it's 2,
but binary addition of 1 +1 =10
Now convert binary no. 10 to decimal
\[10=1\times 2^1+0\times 2^0=2\]
It's different number system

Answer 9

its 10 = 10 X 2^0

Answer 10

Convert it to see http://www.mathsisfun.com/binary-decimal-hexadecimal-converter.html


1=1
10=2

Answer 11

In decimal no.s the base is 10
so
\[15=1\times 10^1+5\times 10^0=5\]
For binary the base is 2
\[10=1\times 2^1+0\times 2^0=2\]

Answer 12

So I get's I will have to just remember the result? Or is there a way to "Prove" the result?

Answer 13

guess*

Answer 14

I just proved it, when I converted 10 to decimal no.

Answer 15

but it doesn't give me sum = 2 it gives sum = 0 and carry = 1

Answer 16

Sum is the first no. Carry is the second no.
C S
1 0
\[10_2 -> 2_{10}\]

Answer 17

by sum, they mean the lowest digit.

in binary you have these addition problems using 1 digit
0 + 0 = 0 (sum is 0, carry is 0)
1+ 0 = 1 (sum is 1, carry is 0)
0+1 = 1 ditto
1 + 1 = 10 (sum is 0, carry is 1)

Answer 18

Do you know this for curtain ash ?

Answer 19

Curtain????

Answer 20

you can use those "rules" to add up bigger numbers

Answer 21

idk it feels weird :D

Answer 22

Yeah, it'll take time to get used to

Answer 23

100% sure its a printing mistake

0+1=1

Answer 24

Guys I dont think this is equal to 1_2 + 0_2 it's binary for digital systems here

Answer 25

Do you have a specific question?

The rules for binary arithmetic are simple: you have 2 digits 0 and 1
0+0 =0 should be clear
0+1= 1+0= 1 should be clear
1+1 = ?? it can't be 0 and it can't be 1, so we use *position*
put a 1 in the 2nd position,
1+1= 10

that means 1*2^1 + 0*2^0

Answer 26

You should see the no.s in binary, then it'll make more sense
0->0
1->1
2->10
3->11
4->100
5->101
6->110
7->111

Answer 27

** Binary,

http://screencast.com/t/OwqhR80k1tS why is this equal to "0' when it clearly states that sum = 1? :O**

as Ara and others have said, this is one of those unfortunate typos that sneak into math books.