The circuit above implements a three variable function $f(a,b,c),$ has three inputs $a,b,c,$

one output $f$ and consists of four EXOR, one AND gate and one OR gate. Before

answering this question you may prepare the truth table for the output function $f$

and then write down the sum of minterms formula for the output $f.($When preparing

the truth table, or indexing minterms, assume that the input $"$a$"$ is the most

significant input and $"c"$ is the least significant input.$)$

What are the minterms of the output function $f?$ Please enter the answer to this

question in the box below in the following way: enter the digits $($in the ascending

order$).$ representing the indices of the minterms for the output function $f$ as one

number.

For example: if $f(a,b,c)$ was equal to the sum of minterms $m0+m1+m2+m3$ then you

would enter $0123,$ or just $123(0123$ will be recorded on D$2$L as $123$ anyway$).$