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Number conversion help?Is this correct?

notyabussines
in Computer Science

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Convert -128 ( decimal) to binary,representing the number with Two's complement with 8 bits...when I convert it to binary it is 10000000..so it is already 8 bits, if I put the bit of sign then it is 9 bits...110000000

I also have to convert 115,375 (octal) to binary representing the number with 16 bits,but when I convert it I have 001001101,011111101..which is far more than 16 bits..where am I wrong?

Convert -128 ( decimal) to binary,representing the number with Two's complement with 8 bits...when I convert it to binary it is 10000000..so it is already 8 bits, if I put the bit of sign then it is 9 bits...110000000

I also have to convert 115,375 (octal) to binary representing the number with 16 bits,but when I convert it I have 001001101,011111101..which is far more than 16 bits..where am I wrong?

 

What has gone wrong in your calculation is an overflow. You can't represent +128 in a signed 8 bit value. The number you wrote (10000000) is in fact -128 not +128. All the rest should make sense when you see this.

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