Final answer:
The shorthand notation for the conditional statement is '¬head → ¬hat', which translates to 'If the object is not on your head, then it is not a hat.'
Step-by-step explanation:
In logic, we often use shorthand notation to represent conditional statements. The statement, “If the object is not on your head, then it is not a hat,” is a conditional that we want to express in logic notation. Let's use 'head' to represent “the object is on your head” and 'hat' for “the object is a hat.” The shorthand for the given statement would be the negation of 'head' implies the negation of 'hat'. Thus, the correct shorthand notation is B. ¬head → ¬hat.