Q11. Suppose a machine stores numbers in two's complement notation. What are the largest and smallest numbers that can be stored if the machine uses bit patterns of the following lengths?
a) four b) six c) eight
Q12, In the following problems, each bit pattern represents a value stored in two's complement notation. Then check your work by translating the problem and your answer into base ten notation.
a. 0101 +0010
b. 0101 +1010
c.1010 +1110
Q13. Solve each of the following problems in two's complement notation, but this time watch for overflow and indicate which answers are incorrect because of this phenomenon. a. 0100 0101 c. 1010 +0011 +0110 +1010
Q14. Can overflow ever occur when values are added in two's complement notation with one value positive and the other negative? Explain your answer
Q15. Can the value 9 be represented in excess eight notation? What about representing 6 in excess four notation? Explain your answer.