1. Convert these decimal numbers to 8-bit 2scomplement binary numbers. a. 102 b. 64 c. 33 d. -128 e. -127 f. 127

2. If the Last digit(LSB) of a 2s complement binary number is 0, what does that tell about the number? and If the last two digits of a 2s complement binary number are 00 (ex: the binary number 01100), what does that tell you about the number?

3. Describe what condition indicate overflow has occurred when two unsigned numbers are added.

4. Why is an ISA unlikely to change between successive generations of microarchitectures that implement it? For example, why would intel want to make certain that the ISA implemented by the Pentium III is the same as the one implemented by the Pentium II? Hint: When you upgrade your computer (or buy one with a newer CPU), do you need to throw out all your old software?

5. Express the negative value -27 as a 2s complement integer using eight bits. Repeat, using 16 bits. Repeat, using 32 bits. What does this illustrate with respect to the properties of sign extension as they pertain to 2s complement representation.

6. Write the results of the following additions as both 8-bit binary and decimal numbers. For each part, use standard binary addition.

a. Add the signed magnitude representation of 7 to the signed magnitude representation of -7.