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ProfessorTo 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.
25610 = 100004
To convert from one base to another:
- Divide the number by the new base to get a whole number and a remainder
- Note the remainder
- If the whole number is not zero, repeat with the whole number result of the division as the number
- 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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What times what equals 256?
The square root of 256 is 16, so 16 times 16 equals 256. Another way to express this is 4 times 4 times 4 times 4, which also equals 256. In mathematical terms, this can be written as 4^4 = 256.
What is the exponential form of 4x4x4x4 base 2?
4 * 4 * 4 * 4 (i.e. 44) = 256 (base 10). In base 2 (binary) this is:100000000.Which is 28.
How do you Express 256 as a power of 8?
2 to the power of 8 = 256
What is the representation of 256 in base six?
256 (base 10) = 1104 (base 6)
When multiplying with an exponent what do you do?
You multiply the base number by itself as many times as the exponent tells you. Example 4^4 =4•4•4•4= 256
