Problem H2

Find the base ten fractions represented by the following:

Problem H3

Find the base five representation for these base ten fractions:

Problem H4

Problem H5

What number in base five behaves the way 3 does in base four?

Problem H6

Problem H7

Find the base five representation for the base ten fraction 1/2.

Problem H8

How might you tell if a number is even or odd in bases two, three, four, five, six, seven, eight, nine, and ten? Can you generalize to base n?

Problem H9

In order to use base sixteen, we need 16 digits. However, we only know 10 digits -- 0, 1, 2, ... , 8, and 9 -- so to represent 10, 11, 12, 13, 14, and 15 in base sixteen, we'll use A, B, C, D, E, and F, respectively. This gives us the following representation for the base sixteen digits:

	Digit 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Base Sixteen Format 0 1 2 3 4 5 6 7 8 9 A B C D E F

Remember that 16 in this base is written as 10 (one-zero). So, for example, the number A6_sixteen becomes (10 • 16) + 6, or 166, in base ten. The number 123 in base ten is (7 • 16) + 11 , or 7B, in base sixteen.

Now translate these base sixteen numbers into base ten numbers:

Problem H10

Using the same system, translate these base ten numbers into base sixteen numbers:

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