I understand that ~ signifies NOT, and v signifies OR. I read the question as requiring a truth table for NOT((NOTq)ORp). The letters T and F are TRUE and FALSE. The truth table builds up the answer by showing the result in stages: q, p, NOTq, (NOTq)ORp, NOT((NOTq)ORp).
| q |
p |
NOTq |
(NOTq)ORp |
NOT((NOTq)ORp) |
| T |
T |
F |
T |
F |
| T |
F |
F |
F |
T |
| F |
T |
T |
T |
F |
| F |
F |
T |
T |
F |