Perform the arithmetic operations ( +42) + ( - 13) in binary using signed-2's complement representation for negative numbers*111110100111000011000001110

It seems like there's a misunderstanding. The text you provided is not a language, but a binary number. However, I can help you perform the arithmetic operations you mentioned in binary using signed-2's complement representation for negative numbers.

First, let's convert +42 and -13 into binary:

+42 in binary is 101010.

To represent -13 in binary using 2's complement, we first write +13 in binary, which is 1101. Then, we invert the digits to get 0010, and add 1 to get 0011. So, -13 in binary using 2's complement is 1101.

Now, let's perform the addition:

101010 (This is 42 in binary)

• 1101 (This is -13 in binary using 2's complement)

100111

So, (+42) + (-13) = 29 in binary, which is 100111.