A positive number by a negative whole number subtraction result is positive?

Hello

I have the following problem, and I have not found the reason...
I have the following Java code:

int a = - 2147483648;
int b = 2147483647;

System.out.println (a - b);

The output of these lines is '1', but I don't understand why.

Thank you

>
I have the following problem, and I have not found the reason...
I have the following Java code:

int a = - 2147483648;
int b = 2147483647;

System.out.println (a - b);

The output of these lines is '1', but I don't understand why.
>
First Subtract numbers in decimal form:

-2147483648 - 2147483647 = -4294967295

If you convert this result in hexadecimal as a "long", you get

-4294967295 = FFFFFFFF00000001x

But by default, Java uses "int" and "int" is 32 bits (4 bytes). The 4 bytes of low weight of this result are 00000001 ' x ' which is 1'.

If you do the math yourself using 32-bit only and use the representation of the HEXAGON to these figures it will make more sense.

int a = -2147483648 = 80000000x
int b = 2147483647  = 7FFFFFFFx

Just subtract the numbers as you would normally start with the right.

1. subtract 'F' of "0" - oops! You need to borrow 1 'of the figure on the left which is ' 0'. You find yourself using one of the '8' and get 10 x. subtract the 0Fx of 10 x and you get '1' for the rightmost digit.

2. now the second digit from the right is on the bottom and F on the top (we borrowed a)-subtract and you get 0

3. the 80000000 x became 7FFFFFF + 10 x when we first borrowed and the '7FFFFFF' is the same as the background so that all the other numbers are 0.

If you look at two similar numbers in decimal form and do the subtraction, it may be easier to see:

a = 5000
b = 4999 (in decimal '9' is the largest 'digit', in hexadecimal 'F' is the largest digit)

What do you get if you subtract those two numbers? You get '1' because when you try to subtract the rightmost '9' from the '0' you have to borrows one from the digit to the left which means borrowing one from the '5' essentially giving the top number as '499' + '10'. Subtract 9 from the 10 giving 1. Then the top has '499' remaining and so does the bottom so the rest are zeroes: 0001.

Tags: Java

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