# Complement of 41

Latha Kalaga

Ranch Hand

Posts: 96

posted 16 years ago

Please excuse my ignorance, but I am missing something here. I am trying to get the complement of 41 and I am not ending up with the correct answer of -42. Please can someone help.

Here is what i did, can some one tell me where I am going wrong

41 in binary is 0010 1001

complement is 1101 0110

How does this translate to -42...

Thanks in advance.

Here is what i did, can some one tell me where I am going wrong

41 in binary is 0010 1001

complement is 1101 0110

How does this translate to -42...

Thanks in advance.

Kathy Rogers

Ranch Hand

Posts: 104

posted 16 years ago

Sorry, Latha, I don't really understand what you're asking. Are you not sure about how Java represents negative numbers - i.e that the left-most bit (most significant bit) indicates whether or not the number is negative and how 2's complement is used to represent numbers. Or are you unsure how to use the complement operator and what result you'll get?

Kathy

Kathy

Victoria Bernstein

Greenhorn

Posts: 15

posted 16 years ago

Let's say we have n1 and n2. I guess what you are trying to do is:

n1 = 41;

n2 = ~n1; (compliment)

41 => 0010 1001, then the compliment of this is n2=1101 0110

Now, since the most significant bit is 1, the resulting number is negative. In order to find this number you do:

1. 1's compliment of n2: 0010 1001

2. add 1: 0010 1010

3. this is 42, but since it is supposed to be negative, n2 = -42

Hopefully, it makes sense

n1 = 41;

n2 = ~n1; (compliment)

41 => 0010 1001, then the compliment of this is n2=1101 0110

Now, since the most significant bit is 1, the resulting number is negative. In order to find this number you do:

1. 1's compliment of n2: 0010 1001

2. add 1: 0010 1010

3. this is 42, but since it is supposed to be negative, n2 = -42

Hopefully, it makes sense

Latha Kalaga

Ranch Hand

Posts: 96

posted 16 years ago

Hi! Victoria and Kathy

Thanks for you messages. After going through Victoria's explanation I think I now understand how the answer came out to -42.

I was only inverting the bits in 41's decimal value which would then give me a result of -22.

Thanks

[This message has been edited by Latha Kalaga (edited December 07, 2000).]

Thanks for you messages. After going through Victoria's explanation I think I now understand how the answer came out to -42.

I was only inverting the bits in 41's decimal value which would then give me a result of -22.

Thanks

[This message has been edited by Latha Kalaga (edited December 07, 2000).]

peter waterhouse

Greenhorn

Posts: 15

posted 16 years ago

hi! thought I would add the exact Mathematical interpretation!

the twos complement binary that java uses represents bytes as an 8 digit number where from left to right the value of each bit is:

-128/64/32/16/8/4/2/1

so 41 in 2's complement binary is: 00101001

and ~41 is : 11010110

which in decimal is: -128 + 64 + 16 + 4 + 2 = -42.

hope that helps!!

the twos complement binary that java uses represents bytes as an 8 digit number where from left to right the value of each bit is:

-128/64/32/16/8/4/2/1

so 41 in 2's complement binary is: 00101001

and ~41 is : 11010110

which in decimal is: -128 + 64 + 16 + 4 + 2 = -42.

hope that helps!!