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Positive edge trigger Counter is used. 

After 3 clock pulse, new Q, A and B will be $1$,$1$ and $0$ , respectively 

Clock pulse $1$ Old Q =$0$ New Q = $1$ Q goes 0 to 1 , 
work as positive edge trigger to Counter clock,
Counter goes UP
old AB = $00$ New AB = $01$
Clock Pulse $2$ Old Q =$1$ New Q =$0$ Q goes $1$ to $0$ , 
work as negative edge trigger to Counter clock,
No change at Counter
old AB = $01$ New AB = $01$
Clock Pulse $3$ Old Q =$0$ New Q = $1$ Q goes 0 to 1 , 
work as positive edge trigger to Counter clock,
Counter goes UP
old AB = $01$ New AB = $10$
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