H1: Number Systems

Time Estimate1-2 hours   Grade Impact1%   DueSep 4 @ 12pm  

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Show your work

You must show all steps of your work for full credit. While calculators can perform these conversions, demonstrating your process ensures understanding and mastery of the concepts.

Exercises

1. Convert $110100100_2$ to decimal.

2. Convert $3141593_8$ to decimal.

3. Convert $0FF1CE_{16}$ to decimal.

4. Convert $90210_{10}$ to binary.

5. Convert $5040_8$ to binary.

6. Convert $F00D_{16}$ to binary.

7. Convert $1111111110_2$ to octal.

8. Convert $16777216_{10}$ to octal.

9. Convert $DEADBEEF_{16}$ to octal.

10. Convert $10110000000111011111101011001110_2$ to hexadecimal.

11. Convert $195801581_{10}$ to hexadecimal.

12. Convert $1573006755_8$ to hexadecimal.

13. Compare and contrast the octal and hexadecimal systems. When might each be ideal?