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Determine the decimal value of the following unsigned number.

So here was the first one I did. Which is easy. I completely understand this one.

(3751)

I know this because: \(\displaystyle 1 + 5 * 8^1 + 7 * 8^2 + 3 * 8^3 = 2025.\)

But then they gave me this one.

b) (A25F)

(A25F)

Where does the 15 come from? What is the power they are multiplying by?

Here is another solution I found, if this helps.

(A25F)

So here was the first one I did. Which is easy. I completely understand this one.

(3751)

_{8}= 2025I know this because: \(\displaystyle 1 + 5 * 8^1 + 7 * 8^2 + 3 * 8^3 = 2025.\)

But then they gave me this one.

b) (A25F)

_{16}. <-- They want me to determine the decimal value of the following unsigned number just as I did above,**I don't understand how they are getting their solution. Here is the solution they got..As you can see they did not write out all the steps so this is why I am confused. I want to know what's actually going on here. If anyone can clarify please help!***but*(A25F)

_{16}= \(\displaystyle 15 * 1+ 5 *16 + 2 * 162+ 10 * 163 = 41567\)Where does the 15 come from? What is the power they are multiplying by?

Here is another solution I found, if this helps.

(A25F)

_{16}= \(\displaystyle 10 * 4096 + 2 * 256 + 5 * 16 + 15 = 41567\)
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