12.2: Chapter 2 Exercise Solutions

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Chapter 2: Historical Counting

1. Partial answer: Jars: $3$ singles, $3$ @$\times 3$, $2$ @$\times 6$, $1$ @$\times 12$. $3+9+12+12 = 36$

3. $113$

5. $3022$

7. $53$

9. $1100100$

11. $332$

13. $111100010$

15. $7,1,10\; \text{base} \;12 = 1030\; \text{base} \;10$

17. $6,4,2\; \text{base} \;12 = 914 \text{base} \;10$

19. $175\; \text{base} \;10 = 1,2,7\; \text{base}\; 12 =$ $clipboard_e90d2efdca0be5c8ca4e743b398b4664d.png$

21. $10000\; \text{base} \;10 = 5,9,5,4\; \text{base} \;12 =$ $clipboard_ec7aa90b2ea195e231b65fb32708528cc.png$

23. $135 = 6,15\; \text{base} \;20 =$ $clipboard_ebdc001a324704bb62a7d23e4311edc7d.png$

25. $360 = 18,0\; \text{base} \;20 =$ $clipboard_e272f58cb1b1e1683e3f3d4962dc779ec.png$

27. $10500 = 1,6,5,0 \;\text{base}\; 20$ $clipboard_e4f98b611ae5cc8fae2a9e07595745663.png$

29. $1,2,12\; \text{base}\; 20 = 452\; \text{base} \;10$

31. $3,0,3\; \text{base}\;20 = 1203\; \text{base}\; 10$

33. $clipboard_e53b06f5e3b2d14ecacb34d91e745a1f7.png$

35. $clipboard_e2ace547bacec864a1bee31d3d4f2cd23.png$

58. $21_{\text{five}}$

59. $232_{\text{five}}$

60. $33_{\text{five}}$

61. $1000_{\text{two}}$

62. $100011_{\text{two}}$

63. $112_{\text{five}}$

64. $43_{\text{five}}$

65. $10_{\text{five}}$