The Entropy of the phrase "Eile Mit Weile" I want to calculate the Entropy of the phrase "Eile mit Weile". I found the probability of each letter as the following

$$P(e)=\frac{4}{12}$$
$$P(i)=\frac{3}{12}$$
$$P(l)=\frac{2}{12}$$
$$P(m)=\frac{1}{12}$$
$$P(t)=\frac{1}{12}$$
$$P(w)=\frac{1}{12}$$

Then I used the formula for entropy 
$$H(p_1,...,p_k)=-\sum_{i=1}^{k}p_i\log_2(p_i)$$
$$H(p_1,...,p_k)=-(\frac{4}{12}\log_2(\frac{4}{12})+\frac{3}{12}\log_2(\frac{3}{12})+\frac{2}{12}\log_2(\frac{2}{12})+\frac{1}{12}\log_2(\frac{1}{12})+\frac{1}{12}\log_2(\frac{1}{12})+\frac{1}{12}\log_2(\frac{1}{12}))≈2.355388542 \ Bits$$
But the correct answer is $1.63263$ Bits. I've made a mistake somewhere but can't figure out what I did wrong.
The two answers agree, with the following change: it's 1.63263 nats, not bits. That is, the value 1.63263 is calculated using the natural logarithm.