\begin{array}{|c|c|c|} \hline x&y&x \ \text{and} \ y&x \ \text{or} \ y&x \ \text{and} \ (\text{not} \ y)&((\text{not} \ x) \ \text{and} \ (\text{not} \ y)) \ \text{or} \ (x \ \text{and} \ y) \\\hline 1&0&1 \ \text{and} \ 0 = 0&1 \ \text{or} \ 0 = 1&1 \ \text{and} \ (\text{not} \ 0) = 1 \ \text{and} \ 1 = 1&((\text{not} \ 1) \ \text{and} \ (\text{not} \ 0)) \ \text{or} \ (1 \ \text{and} \ 0) = (0 \ \text{and} \ 1) \ \text{or} \ 0 = 0 \ \text{or} \ 0 = 0 \\\hline 0&1&0 \ \text{and} \ 1 = 0&0 \ \text{or} \ 1 = 1&0 \ \text{and} \ (\text{not} \ 1) = 0 \ \text{and} \ 0 = 0&((\text{not} \ 0) \ \text{and} \ (\text{not} \ 1)) \ \text{or} \ (0 \ \text{and} \ 1) = (1 \ \text{and} \ 0) \ \text{or} \ 0 = 0 \ \text{or} \ 0 = 0 \\\hline 0&0&0 \ \text{and} \ 0 = 0&0 \ \text{or} \ 0 = 0&0 \ \text{and} \ (\text{not} \ 0) = 0 \ \text{and} \ 1 = 0&((\text{not} \ 0) \ \text{and} \ (\text{not} \ 0)) \ \text{or} \ (0 \ \text{and} \ 0) = (1 \ \text{and} \ 1) \ \text{or} \ 0 = 1 \ \text{or} \ 0 = 1 \\\hline 1&1&1 \ \text{and} \ 1 = 1&1 \ \text{or} \ 1 = 1&1 \ \text{and} \ (\text{not} \ 1) = 1 \ \text{and} \ 0 = 0&((\text{not} \ 1) \ \text{and} \ (\text{not} \ 1)) \ \text{or} \ (1 \ \text{and} \ 1) = (0 \ \text{and} \ 0) \ \text{or} \ 1 = 0 \ \text{or} \ 1 = 1 \\\hline \end{array}

Công thức:

`1 and 1 = 1`

`1 and 0 = 0` (hoặc `0 and 1 = 0`)

`0 and 0 = 0`

`1 or 1 = 1`

`0 or 1 = 1` (hoặc `1 or 0 = 0`)

`0 or 0 = 0`

`"not" \ 1 = 0`

`"not" \ 0 = 1`

Theo ý mình hiểu nha. 1: True (Đúng) 0: False(Sai)
Phép toán logic:
AND: Cả 2 điều kiện điều đúng
OR: 1 Trong 2 điều kiện đúng
Not:

Đúng -> Sai

Sai -> Đúng

Ví dụ dòng 1

x and y: x đúng nhưng y sai => sai

x or y: x đúng hoặc y đúng. x đúng => đúng

x and (not y): (x đúng) (y sai -> sai) => đúng 

((not x) and (not y) ) or ( x and y) => Cả hai đều sai hoặc cả hai đều đúng => sai

....

\begin{array}{|c|c|c|} \hline x&y&x \ \text{and} \ y&x \ \text{or} \ y&x \ \text{and} \ (\text{not} \ y)&((\text{not} \ x) \ \text{and} \ (\text{not} \ y)) \ \text{or} \ (x \ \text{and} \ y) \\\hline Đúng&Sai&Sai&Đúng&Đúng&Sai \\\hline Sai&Đúng&Sai&Đúng&Sai&Sai \\\hline Sai&Sai&Sai&Sai&Sai&Đúng \\\hline Đúng&Đúng&Đúng&Đúng&Sai&Đúng \\\hline \end{array}