For the following 8-bit binary addition and subtraction problems show the results in binary and then interpret each as signed and unsigned. Indicate whether signed and/or unsigned overflow has occurred. Use a two's complement representation when interpret the addition or subtraction as a signed operation. The space in the 8-bit binary numbers are simply for readability.

a. 0110 0000 + 1001 1111

b. 1000 0001 + 1111 1111

c. 0111 1111 - 0000 1111

d. 0111 1111 + 0000 1001

e. 0111 1111 + 1000 0000