Assume a piece of code which executes two branches b$1$ and b$2$ in alternating sequence $($i$.$e$.$ b$1,$b$2,$b$1,$b$2,$b$1,$b$2,$dots dots$).$ The first six actual outcomes of b $1$ and b $2$ are as shown below:

b$1$: TNT TNT T T

b$2$: T NT T NT T T

Assume that a simple $2-$bit predictor is used. All entries of predictor are initialized to $\text{'}11\text{'},$ and there is no aliasing in BHT$.$ The two bits of BHT are adjusted as shown on the state diagram below. Draw a table as shown below in your answer sheet and show the predictions made for each execution of the branches. Show your work.