Digital Electronics Components and Logic Gates Fundamentals
Explore the fundamental concepts of digital electronics components and logic gates with detailed descriptions and truth tables for NOT, AND, OR, NAND, and NOR gates. Learn how these components function and their applications in digital systems.
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Digital Electronics Components Miloni Ganatra
Logic Gates Fundamental building block of digital System. To Make decisions It produces one output level when combination of input levels are present & different output level when other combination of input levels are present. O/P is dependent only state of the input at that instant Three basic gates AND ,OR ,NOT
The NOT Gate (inverter): The NOT gate is the first of the three fundamental logic gates. A X Truth Table: Is a chart that lists the input condition on the left and the gate s output response on the right. The table shows that the NOT gate responds at the output with the inverse of the signal applied to the input. 0 1 1 0 5v Input A Output X OFF ON OFF ON OFF ON Logic 1 Logic 1 Logic 1 Logic 0 Logic 0 Logic 0 Slide #3
The AND Gate: Truth Table: The table shows that the AND gate responds with a high at the output if the signal applied to the input A and B are both high. 5v AND Logic 0 Logic 0 Logic 1 Logic 1 5v A B X Input A Output X Logic 0 Logic 0 Logic 0 Logic 1 0 0 0 Input B 0 1 0 5v 1 0 0 1 1 1 Logic 0 Logic 1 Logic 0 Logic 1 Slide #4
The OR Gate: Truth Table: The table shows that the OR gate responds with a high at the output if the signal applied to the input A or B is high. 5v OR Logic 0 Logic 0 Logic 1 Logic 1 5v A B X Input A Logic 0 Logic 1 Logic 1 Logic 1 Output X 0 0 0 Input B 0 1 1 5v 1 0 1 1 1 1 Logic 0 Logic 1 Logic 0 Logic 1 Slide #5
NAND Gate The NAND gate is equivalent to an AND gate with a NOT gate connected to its output. NAND comes from the words Not AND NAND Symbol 5v NAND Logic 1 Logic 0 Logic 1 Logic 0 5v A B X Input A Logic 1 Logic 1 Logic 0 Logic 1 Output X 0 0 1 Input B 0 1 1 5v 1 0 1 1 1 0 Logic 0 Logic 1 Logic 1 Logic 0 = X A B Boolean Equation: here is the equation for the NAND gate. Slide #6
NOR Gate The NOR gate is equivalent to an OR gate with a NOT gate connected to its output. NOR comes from the words Not OR. NOR Symbol 5v NOR Logic 1 Logic 0 Logic 1 Logic 0 5v A B X Input A Logic 0 Logic 0 Logic 0 Logic 1 Output X 0 0 1 Input B 0 1 0 5v 1 0 0 1 1 0 Logic 0 Logic 1 Logic 1 Logic 0 = + X A B Boolean Equation: here is the equation for the NOR gate. Slide #7
XOR Gate & XNOR Gate The XOR gate is an exclusive OR gate. It will output a logic 1 if there is an exclusive logic 1 at input A or B. Exclusive means: Only one input can be high at one time. XOR Boolean Equation: XOR A B X = X A B 0 0 0 Input A Output X 0 1 1 Input B 1 0 1 1 1 0 The XNOR gate is an exclusive OR gate with an NOT gate at the output. It will output a logic 0 if there is an exclusive logic 1 at input A or B. XNOR A B X XOR Boolean Equation: 0 0 1 Input A Output X 0 1 0 = X A B Input B 1 0 0 1 1 1
