Question

The 2's-complement system is to be used to add the signed binary numbers 11110010 and 11110011. Determine the sign and decimal value of each of these numbers and their sum. -113 and -114, -227 -27 and -13, -40 -14 and -13, -27 -11 and -16, -27

Answer 1

The 2's-complement system is to be used to add the signed binary numbers 11110010 and 11110011. The sign and decimal value of each of these numbers and their sum is -14 and -13, -27.

How do we use 2's complement to add signed binary numbers?

Binary addition is done and the carry is discarded. If the first number is 1 it is negtive integer else it is positive. Here the sum is  .

Here 11110010 stands for -14 , 11110011 for -13 and the sum results in -27.

As digital computers use the 2's complement representation, addition and subtraction of 2's complement signed binary numbers are crucial learning topics. All of the fundamental principles of binary arithmetic are adhered to in 2's complement math. The 2's complement of a binary number can be created using a straightforward technique. Simply invert the provided number and add 1 to the least significant bit (LSB) of the output to obtain the binary integer's 2's complement.

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