We want to design a synchronous counter using J$-$K FF$\text{'}$s that has the following counting sequence: $\backslash (000,010,100,110,011\backslash )$ and repeat.

The unused states $001,101,$ and $111$ must always go to $000$ on the next clock pulse.

The bits in the counter are labeled from MSB to LSB: C$,$ B$,$ A$.$

Write the expression for the circuit which will generate the correct value for the K input on the B flip$-$flop.

Use only capital letters in your expression.

Do not put spaces in the expression.

If the expression contains multiple variables, write them in order from MSB to LSB$.$ For example, the AND of the Q output of all $3$ FFs should be written as: CBA

$\backslash (\backslash$mathrm$\{$Kb$\}=\backslash )$ type your answer...