$2.$ For each of the arithmetic expressions in Problem $1,$ determine if signed overflow has occurred or not and describe how you determined this, referring to your Problem $1$ solutions as needed. For each problem that does exhibit signed overflow, assume the values are in signed $2$s complement $($S$2$C$)$ form and convert them to decimal and then explain, using the decimal values, why the result is invalid. Hint: for $8-$bit S$2$C values, the valid decimal range is $-128$ to $127.$

You can use a calculator for the steps in this problem $($conversion to decimal$),$ and you may find it valuable to check out the course notes discussing use of Windows calculator for solving binary arithmetic and conversions. Specifically, use the Programmer mode of the calculator, and for S$2$C you need to set the size to BYTE.