The equivalent of (10110.011)\(_2\) in base 10 is?
Answer Details
To convert a binary number to a decimal number, we need to understand the positional value of each digit in the binary number. In a binary number, each digit represents a power of 2, with the rightmost digit representing 2^0, the next digit to the left representing 2^1, and so on.
So, for the binary number (10110.011)_2, we can break it down into its decimal equivalent as follows:
1 x 2^4 + 0 x 2^3 + 1 x 2^2 + 1 x 2^1 + 0 x 2^0 + 0 x 2^-1 + 1 x 2^-2 + 1 x 2^-3
= 16 + 0 + 4 + 2 + 0 + 0 + 0.25 + 0.125
= 22.375
Therefore, the equivalent of (10110.011)_2 in base 10 is 22.375.