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Thread: Underflow in Byte

  1. #1
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    Default Underflow in Byte

    Hello,

    In the below code, we have underflow or overflow?
    Byte in java is 1 byte. It means the capacity of a byte is 0-255.
    400 - 256 (0 to 127 and -1 to -127). I expected we have 144. But we have -112 in output.
    Could you please explain it?
    Thanks

    import java.lang.System;
    import java.util.Scanner;
     
    class test
    {
     
     
        public static void main(String[] args) 
        {
            {
     
               byte b = (byte)400;
               System.out.println(b);
     
        }
    }
    }

  2. #2
    Super Moderator Norm's Avatar
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    Default Re: Underflow in Byte

    Use the Integer class's toHexString to see what the bits are for the value 400 = x190 or toBinaryString gives 1 1001 0000
    The sign bit for the low order byte is 1 making it negative.
    Casting it to a byte throws away the leading 1 leaving 1001 0000
    Display the binary value of -112 gives 111111111111111111111111 1001 0000
    If you don't understand my answer, don't ignore it, ask a question.

  3. The Following User Says Thank You to Norm For This Useful Post:

    shervan360 (November 14th, 2019)

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    Default Re: Underflow in Byte

    Quote Originally Posted by Norm View Post
    Use the Integer class's toHexString to see what the bits are for the value 400 = x190 or toBinaryString gives 1 1001 0000
    The sign bit for the low order byte is 1 making it negative.
    Casting it to a byte throws away the leading 1 leaving 1001 0000
    Display the binary value of -112 gives 111111111111111111111111 1001 0000
    Thank you for your answer, but I didn't understand well.
    Could you please more explain about it?

    The sign bit for the low order byte is 1 making it negative.
    Casting it to a byte throws away the leading 1s leaving 1001 0000
    Display the binary value of -112 gives 111111111111111111111111 1001 0000

  5. #4
    Super Moderator Norm's Avatar
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    Default Re: Underflow in Byte

    A byte has 8 bits. If this binary int value with these 32 bits (111111111111111111111111 1001 0000) is placed in a byte, the resulting 8 bits in the byte would be: 1001 0000.
    The high order 24 bits would be truncated.
    If you don't understand my answer, don't ignore it, ask a question.

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