Question $1$

$\frac{26\mathrm{.}67}{40}$ pts

Fill$-$in the state$-$assigned table for a $3-$bit counter that counts pulses on line w$.$

The counting sequence should be: $0,2,4,6,1,3,5,7,$ repeating...

Assign the states so the count is represented directly by the flip$-$flop outputs themselves, without using any extra gates.

$\backslash$table$[[$Present state,Y$\_(2)$Y$\_(1)$Y$\_(0),$Y$\_(2)$Y$\_(1)$Y$\_(0),$Output$],[$A$,000,010,010],[$B$,010,100,100],[$C$,100,110,110],[$D$,110,001,001],[$E$,001,011,011],[$F$,011,101,101],[$G$,101,111,111],[$H$,111,000,000]]$