Final answer:
The binary number 100001.11 can be converted to decimal (base 10) by breaking down each digit as powers of 2 for their respective places. After calculating, we find that the decimal equivalent of 100001.11 is 33.75.
Step-by-step explanation:
To convert a binary number to base 10, we need to multiply each digit in the binary number by the corresponding power of 2 and sum up the results. In this case, the binary number is 100001.11. The position of each digit from left to right represents a power of 2. So, the calculation would be:
(1 * 2^5) + (0 * 2^4) + (0 * 2^3) + (0 * 2^2) + (0 * 2^1) + (1 * 2^0) + (1 * 2^-1) + (1 * 2^-2)
Simplifying the calculation, we get:
(1 * 32) + (0 * 16) + (0 * 8) + (0 * 4) + (0 * 2) + (1 * 1) + (1 * 0.5) + (1 * 0.25)
= 32 + 0 + 0 + 0 + 0 + 1 + 0.5 + 0.25
= 33.75