1.4 KiB
1.4 KiB
ECE 124: Digital Circuits
Base / radix conversion
Please see ECE 150: C++#Non-decimal numbers for more information.
Binary logic
A binary logic variable is a variable that has exactly two states:
- 0, or false (switch open)
- 1, or true (switch closed)
Binary logic functions are any function that satisfies the following type signature:
BoolFunc = Callable[[bool | BoolFunc, ...], bool]In other words:
- it must accept a number of booleans and/or other logic functions, and
- it must return exactly one boolean.
These can be expressed via truth table inputs/outputs, algebraically, or via a logical circuit schematic.
Logical operators
Operator precedence is () > NOT > AND > OR.
The AND operator returns true if and only if all arguments are true.
\[A\cdot B \text{ or }AB\]
(Source:
Wikimedia Commons)
The OR operator returns true if and only if at least one argument is true.
\[A+B\]
(Source:
Wikimedia Commons)
The NOT operator returns the opposite of its singular input.
\[\overline A \text{ or } A'\]
(Source:
Wikimedia Commons)