# Fundamental Digital Electronics/Mathematical Operations

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## Contents

## Mathematic Operation[edit]

### Addition[edit]

- 0 + 0 = 0
- 0 + 1 = 1
- 1 + 0 = 1
- 1 + 1 = 1

### Subtraction[edit]

- 0 - 0 = 0
- 0 - 1 = 1
- 1 - 0 = 1
- 1 - 1 = 0

### Multiplication[edit]

- 0 x 0 = 0
- 0 x 1 = 0
- 1 x 0 = 0
- 1 x 1 = 1

### Division[edit]

- 0 / 0 = x
- 0 / 1 = 0
- 1 / 0 = x
- 1 / 1 = 1

## Logic Operation[edit]

### BUFFER[edit]

- Output is the same as Input
- B = A
- A B
- 0 0
- 1 1

### NOT[edit]

- Output is not the same as Input
- B = NOT A
- A B
- 0 1
- 1 0

### AND[edit]

- Output is the same as Input
- C = A AND B
- AB C
- 00 0
- 01 0
- 10 0
- 11 1 Both inputs equal 1

### OR[edit]

- Output is the same as Input
- C = A OR B
- AB C
- 00 0 Both inputs equal 0
- 01 1
- 10 1
- 11 1

### XOR[edit]

- Output is the same as Input
- C = A XOR B
- AB C
- 00 1 Same
- 01 0 Not the same
- 10 0 Not the same
- 11 1 Same

## Laws[edit]

The Morgan Law

- NAND A + NAND B = A + B