Write two small ladder logic programs $($Assume inputs PB$\_1$ and PB$\_2$ are both normally open push buttons, and PB$\_3$ is a normally closed push button$).$ Assign I$/$O addresses based on the lab.

a$)$ If PB$\_1$ is closed and PB$\_2$ is open, turn on alert light Yellow$\_$Light even after PB$\_2$ and$/$or PB$\_1$ changed. Yellow$\_$Light can only be turned OFF if PB$\_3$ is pushed.

b$)$ Write the ladder logic program that count down from a value set by a MOV instruction from DINT tag init$\_$count $($initially set to $10)$ and the MOV happens every time PB$\_1$ is pushed. The preset is $5.$ Counting is triggered by push button PB$\_2.$ A light named Too$\_$Low is turned ON once the counter is not done.

Can you draw out each ladder logic diagram $?$