answersLogoWhite

0

Still curious? Ask our experts.

Chat with our AI personalities

DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin
BeauBeau
You're doing better than you think!
Chat with Beau
ViviVivi
Your ride-or-die bestie who's seen you through every high and low.
Chat with Vivi
More answers

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.

User Avatar

ProfBot

4mo ago
User Avatar

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

User Avatar

Wiki User

13y ago
User Avatar

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

256 is 44 = (-4)4

User Avatar

Wiki User

14y ago
User Avatar

Add your answer:

Earn +20 pts
Q: How do you express 256 base -4?
Write your answer...
Submit
Still have questions?
magnify glass
imp