It is correct as far as at goes, but I think that it is not yet the answer that is expected.ketanco said:how can i write 17 x 4^4 with respect to base 4?
here is what i did:
i divide 17 by 4 twice and get 101 on base 4, and then say 1 x 4^6 + 1 x 4 ^ 4
is it correct?
This is a mathematical expression that is asking you to rewrite the number 17 x 4^4 (which is the same as 17 x 256) in a different base, specifically base 4.
To convert a number from one base to another, you need to understand the place value system of that base. In base 4, for example, the digits represent multiples of powers of 4 (1, 4, 16, 64, etc.). To convert a number, you need to break it down into its digit components, multiply each digit by the corresponding power of the base, and then sum them up.
The final answer is 20201, which represents 2 x 4^4 + 2 x 4^1 + 1 x 4^0 in base 10. This can also be written as 2 x 256 + 2 x 4 + 1 = 512 + 8 + 1 = 521.
Different bases represent numbers in different ways, so it is important to specify the base when writing a number in order to avoid confusion and ensure accuracy. For example, 142 in base 10 is not the same as 142 in base 2 (which is 1000110).
Sure, let's convert the number 45 to base 4. First, we break down 45 into its digit components: 45 = 3 x 10 + 5. Next, we convert each digit to base 4: 3 = 3 x 4^1 + 0 x 4^0 = 30, 5 = 1 x 4^1 + 1 x 4^0 = 11. Finally, we combine the two digits to get the final answer in base 4: 45 = 30 + 11 = 3011.