Suppose a 16 bit register R is as shown.

1. Show the equivalent of R’s contents as:

A. an octal number

B. a hexidecimal number

C. a decimal number

D. a number expressed in base 7

2. Give two instructions that will cause a branch to a label named theLabel if any one of bits 0, 4, or 6 are set.

3. Give an instruction to clear bits 6, 2, and 1. Show the resulting register in both binary and hexidecimal notation.

4. Give a instruction to toggle bits 2, 4, and 5 of R. Show the btog command, and the equivalent xnor. Show the result in hex, octal, and binary.

5. Convert 3426₅ to decimal.

6. Convert 32641₇ to base 3

7. Convert ABCB6₁₃ to base 9.

8. Give an actual (not synthetic) instruction to set the Z flag if a register X has all bits set to 1’s

9. Suppose two 32 bit Boolean arrays a and b are stored in %l0 and %l1 respectively.

A. Write instructions to compute a nor b, leaving the answer in %l3.

B. Write the mask to determine if any of the bits 0, 3, 4, 8, 11, 16, 22, and 25 of register %l3 are set.

C. Write the instruction to test those bits.

10. An outdoor sprinkler system turns on at 7 PM every day, but only if it isn’t raining. Model the system that turns on the sprinklers using SPARC instructions, as we did in class. A sensor for the timer is 1 if the sprinklers should be on, and a sensor for the presence of rain is 1 if it is raining.