Answer:
A nice question about polynomial representation in binary!
The given polynomial is x⁵ + x² + x. To convert this to an 8-bit binary word, we need to represent each term in binary and then combine them.
Here's the breakdown:
x⁵: 2⁵ = 32, which is 00100000 in binary (only the 5th bit is set)
x²: 2² = 4, which is 00000100 in binary (only the 2nd bit is set)
x: 2¹ = 2, which is 00000010 in binary (only the 1st bit is set)
Now, let's combine these binary representations:
00100000 (x⁵) 00000100 (x²) 00000010 (x)
The resulting 8-bit binary word is: 00100110
So, the correct answer is (c) 00100110.