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1. What is 0xBEEF + 0x2019 when these values represent 16- bit hexadecimal numbers? The result should be written in hexadecimal. Show your work.

2. Convert 0x3BF4into a binary number. What makes base 16 (hexadecimal) an attractive numbering system for representing values in computers?

3. Assume -105, -112, and -30 are signed 8-bit decimal integers stored in two’s complement format. Add these numbers and give the result as a decimal number. Explain your answer.

4. What decimal number does the bit pattern 0×DD000000 represent if it is a two’s complement integer? An unsigned integer?

5. If the bit pattern 0×0C000000 is placed into the Instruction Register, what MIPS instruction will be executed?

6. What decimal number does the bit pattern 0×DD000000 represent if it is a floating-point number? Use the IEEE 754 standard.

7. Give the binary representation of the decimal number 57.125 assuming the IEEE 754 single precision format.

8. Give the binary representation of the decimal number 57.125 assuming the IEEE 754 double precision format.

9. Using the IEEE 754 floating point format, write down the bit pattern that would represent -3/8. Can you represent -3/8 exactly?

10. Using the IEEE 754 floating point format, write down the bit pattern that would represent -5/6. Can you represent -5/6 exactly?

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