exponents and normalization

I am asking this question again because I have some of it figured out. I am just having a difficult time with the exponent part of it which will contain 7 bits, here's the question...

Assuming an 18 bit word length and a 7 bit exponent, write the bit pattern for 27.75 assuming 2s complement exponents and binary normalization.

Here's what I know...I changed 27.75 into binary which is 1101111000, the first bit of this problem will be 0 since it is positive. I just can't figure out the exponent part and the normalization.