Add a factorial operator: use a suffix ! operator to represent “factorial.” For example, the expression 7! means 7 * 6 * 5 * 4 * 3 * 2 * 1. Make ! bind tighter than * and /; that is, 7*8! means 7*(8!) rather than (7*8)!. Begin by modifying the grammar to account for a higher-level operator. To agree with the standard mathematical definition of factorial, let 0! evaluate to 1.