To convert a binary number to a decimal number, we can use the place value system. Each digit in the binary number represents a power of 2, starting from the rightmost digit.
Let's break down the given binary number (1101101.1011)2 into its decimal equivalent:
Starting from the rightmost digit, we have:
1 * 2^0 = 1
1 * 2^1 = 2
0 * 2^2 = 0
1 * 2^3 = 8
1 * 2^4 = 16
0 * 2^5 = 0
1 * 2^6 = 64
For the fractional part, starting from the leftmost digit after the decimal point, we have:
1 * 2^-1 = 0.5
0 * 2^-2 = 0
1 * 2^-3 = 0.125
1 * 2^-4 = 0.0625
Now, let's add up all the values:
1 + 2 + 0 + 8 + 16 + 0 + 64 + 0.5 + 0 + 0.125 + 0.0625 = 109.6875
Therefore, the correct answer is D) 109.6875.