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How do you express 256 base -4?

Updated: 4/28/2022
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13y ago

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260

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Napoleon Barton

Lvl 10
3y ago
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12y ago

25610 = 100004

To convert from one base to another:

  1. Divide the number by the new base to get a whole number and a remainder
  2. Note the remainder
  3. If the whole number is not zero, repeat with the whole number result of the division as the number
  4. Put the remainders in reverse order and that is the original number in the new base.

So for 25610 into base 4:

1. 256 ÷ 4 = 64 r 0

2. Note the 0

3. 64 not zero, repeat

1. 64 ÷ 4 = 16 r 0

2. Note the 0

3. 16 not zero, repeat

1. 16 ÷ 4 = 4 r 0

2. Note the 0

3. 4 not zero, repeat

1. 4 ÷ 4 = 1 r 0

2. Note the 0

3. 1 not zero, repeat

1. 1 ÷ 4 = 0 r 1

2. Note the 1

3. 0 is zero

4. Remainders in reverse order are 10000

Thus 25610 = 100004

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13y ago

Negative numbers are not used as bases because althernate powers have opposite signs.

256 is 44 = (-4)4

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