Can the shunting-yard algorithm handle logic processing ?

[synch]

Looking at logic processing with 1 meaning true and 0 meaning false..an "OR" could be implemented using an addition operation , an "AND" using multiplication, and so on. I am wondering if the shunting yard algorithm would handle the sequences of logic based operations ? The precedence of the operators would have to be set appropriately of course..

 

[Baluncore]

The boolean operators are just like the arithmetic operators.
No distinction need be made between boolean or arithmetic operators.
They can all be processed in a stack based processor, and have been for the last 70 years.