Chapter 4 Gates & Circuits Flashcards
Gate
A device that performs a basic operation on electrical signals, accepting one or more input signals and producing a single output signal
Circuit
A combination of interacting gates designed to accomplish a specific logical function
Boolean algebra
A math-ematical notation for expressing two- valued logical functions
Logic diagram
A graphical representation of a circuit; each type of gate has its own symbol
Truth table
A table showing all possible input values and the associated output values
NOT Gate
inverts its single input value.
Symbol for a NOT gate
a triangle with a small circle ( called an inversion bubble) on the end.
AND Gate
produces 1 if both input values are 1.
In Boolean expressions, the NOT operation is represented by the ‘ mark after the value being negated. Sometimes this operation is shown as a horizontal bar over the value being negated.
For example, the result of the Boolean expression 0 is always 1, and the result of the Boolean expression 1 is always 0.
In Boolean expressions, the ______ operation is represented by the ‘ mark after the value being negated. Sometimes this operation is shown as a horizontal bar over the value being negated.
For example, the result of the Boolean expression 0 is always 1, and the result of the Boolean expression 1 is always 0.
The AND operation in Boolean algebra is expressed using a single dot (.). Sometimes an asterisk (*) is used to represent this operator. Often the operator itself is assumed. For example, A. B is often written AB.
The ____ operation in Boolean algebra is expressed using a single dot (.). Sometimes an asterisk (*) is used to represent this operator. Often the operator itself is assumed. For example, A. B is often written AB.
Four situations can occur when the AND operator is used in a Boolean expression:
0 . 0 equals 0
0 . 1 equals 0
1 . 0 equals 0
1 . 1 equals 1
Four situations can occur when the AND operator is used in a Boolean expression:
OR Gate
produces 1 if one or the other or both input values are 1.
An XOR gate
produces 1 if one or the other ( but not both) input values are 1.
A NAND gate
produces the opposite results of an AND gate.
A NOR gate
produces the opposite results of an OR gate.