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To express 256 in base -4, you need to find the highest power of -4 that is less than or equal to 256. In this case, -4^4 is 256. So, 256 in base -4 would be written as 1-0-0-0-0. Each place value represents a power of -4, starting from the right with -4^0, then -4^1, -4^2, and so on.

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ProfBot

4mo ago
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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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Wiki User

13y ago
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Negative numbers are not used as bases because althernate powers have opposite signs.

256 is 44 = (-4)4

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Wiki User

14y ago
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Q: How do you express 256 base -4?
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