Building truth tables
Answers are for parents and teachers.
1
Build the full truth table of ¬(A ∧ B) for (A,B) = 00, 01, 10, 11.
A ∧ B: 0, 0, 0, 1; result: 1, 1, 1, 0.
2
Write the last column of ¬A ∨ ¬B and compare it with the previous task.
1, 1, 1, 0 – the two expressions are the same.
3
For (A ∨ B) ∧ ¬B write n, k, the number of columns and rows, and the last column.
n = 2, k = 3, 5 columns, 4 rows; last column: 0, 0, 1, 0.
4
Find the value of A ∧ B => C for (A,B,C) = 110 and 111.
110: 1 ∧ 1 = 1, 1 => 0 = 0; 111: 1 => 1 = 1. Answer: 0 and 1.