In the exam of WS17 there was the following question asked:

I understand every part except the 0.05.

I converted it as follows:

The resulting exponent ist negative, which (if I understood it correctly) means the number cannot be represented with the given amount of bits. We would have to increase the amount of bits in the exponent, so that the bias would increase to 7 and we would get an exponent of +2, which we can represent in binary. I do not understand how the solution displays the number with only a 3 bit exponent and I do not know what I did wrong. Any help would be very much appreciated.

edit: q2a may cut off the rightmost part of the image, right-click and "show image in new tab" still shows the whole image.