Binary to one’s and two’s complement

Question

https://drive.google.com/file/d/1t_GE4CQxCcV9XHpYV9XJB3NWAzx3jU_q/view?usp=drivesdk

In the question it is said to convert binary numbers to ones and twos complement. But i dont know how to show, how i have found them.

Please, help me to show steps of converting them, if i have done wrong.

I couldnt understand from youtube and google)

Thanks!

Answer 1

One's complement form is : just invert all bits, from 0 to 1 and 1 to 0. Then you get 1st complement.

For 2's complement,
Calculate one's complement and add 1 bit to it. You get 2 's complement.

5 binary form is
0000 0101
1st complement is ~5
flip all bits :
1111 1010

2s complement is

1111 1010
1
__________
1111 1011
-----------------

hope it helps.

Answer 2

Aa sorry, well you can write that for 1's complement that ones become zero and zeros become ones,
And for 2s complement just add 1 to the 1's complement
And for signed that the first bit is the sign
Or just leave it like that looks okay

Answer 3

Your 2's complement last nibble is 0110
Your arithmetic is wrong
0101 + 1 = 0110

Answer 4

Your ones complement is good
For 2's complement just add
Ones complement + 1

Answer 5

Мартин 😑🎵 yes i am knowing what the answer will be. But my teacher asking for steps.
How can i show steps for converting to ones and twos complement. Or just writing answer is enough for them?

Answer 6

Kruti 0101 in ones complement will be 0111 in twos yes?

Answer 7

Laziza Khasanova what is 2' complement first
In the computer 0101 = 5 so positive integers are represented like this
But what about -5
So -5 = 2's complement of 5
That is -5 = 1010 + 1 = 1011

Answer 8

Ok so now how to evaluate (5 - 7)
5 - 7 = 5 + (-7)
5 = 0101
-7 = 1's complement(0111) + 1 = 1000 + 1 = 1001

Now
0101 + 1001 = 1110
And if you find 2'complement from result
0001 + 1 = 2
Which is 5 - 7 = -2

So 2's complement is used to transform subtraction into addition

Answer 9

Last if you try -5 + 7
Is 1011 + 0111 = 10010
Because we are using 4 bits here it is overflowing so we cut the 1
And becomes 0010 = 2

Answer 10

Мартин 😑🎵
I have binary
01111101111101111010
Ones will be
1000 0010 0000 1000 0101
Twos will be
1000 0010 0000 1000 1110

Correct?

Answer 11

Laziza Khasanova
If your number is 1010,
1's complement will be 0101.
2's complement will be 0110.

Answer 12

Jayakrishna🇮🇳 2s compliment of 0111 0101 0101 0101 will be
1000 1010 1010 1010
1
1000 1010 1010 1011
Like that?

Answer 13

Laziza Khasanova yes 1000 1010 1010 1011 is correct.

Answer 14

Welcome

Answer 15

Laziza Khasanova
Ones is correct
Twos is wrong
Say you have 8 bits for numbers
1 bit used to indicate negative or 0
With twos complement this is - 2^(n-1) in this case -2^7
= -128
Now lets make -92
STEP 1: positive 92
0:101 1100
STEP 2: flip
1:010 0011
(If we were to count now it would be
-128 + 32 + 2 + 1 = -93
*off by 1 )
STEP 3: add 1
1:010 0011
+0:000 0001
———————-
= 1:010 0100
Now count
-128 + 32 + 4 = -92
——————————————
So looking just at your right most 4 bits
You start with : 0101
Adding 1 : + 0001
———————
= 0110
Not 1110

Furthermore you start with
515962 so you should get -515962

But you actually have
(-2^19) + 2^13 + 2^7 + 2^3+2^2 + 2^1 = -515954

Answer 16

@Laziza Khasanova
Late responding 😔: (due to off from SL)
may it already clear.. .

2s compliment of
0111 0101 0101 0101 will be
1000 1010 1010 1010
1
1000 1010 1010 1011
Yes.

2)

0111 1101 1111 0111 1010
One-s will be
1000 0010 0000 1000 0101
Two-s will be
1000 0010 0000 1000 0110

Answer 17

Hi

Answer 18

Hello to all friends