Each of three coins has two sides, heads and tails. Represent the heads or tails status of each coin by a logical variable $($A for the

first coin, $B$ for the second coin, and $C$ for the third$)$ where the logical variable is $1$ for heads and $0$ for tails. Write a logic function

$F(A,B,C)$ which is $1$ iff exactly one of the coins is heads after a toss of the coins.

$F(A,B,C)=$

$($a$)$ Express F as a minterm expansion. $($Express your answer in non$-$abbreviated $m-$notation.$)$

$F=$

$($b$)$ Express $F$ as a maxterm expansion. $($Express your answer in non$-$abbreviated $M-$notation.$)$