DIGITAL ELECTRONICS- Logic Gates
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The document discusses fundamental concepts of logic gates used in digital circuits, detailing three primary gates (AND, OR, NOT) and their respective functions represented through symbols and truth tables. It also introduces NAND, NOR, exclusive OR, and exclusive NOR gates, explaining how they operate based on input combinations. The content is geared towards learners in the field of digital electronics.
DIGITAL ELECTRONICS- Logic Gates
- 1. TRINITY INSTITUTE OF PROFESSIONAL STUDIES Sector – 9, Dwarka Institutional Area, New Delhi-75 Affiliated Institution of G.G.S.IP.U, Delhi DIGITAL ELECTRONICS Paper Code :- BCA 106 Keywords: Logic Gates, AND, OR, NOR, NAND By :-HARI MOHAN JAIN
- 2. TRINITY INSTITUTE OF PROFESSIONAL STUDIES Sector – 9, Dwarka Institutional Area, New Delhi-75 2 Logic Gates
- 3. TRINITY INSTITUTE OF PROFESSIONAL STUDIES Sector – 9, Dwarka Institutional Area, New Delhi-75 3 Logic Gates • The building blocks used to create digital circuits are logic gates • There are three elementary logic gates and a range of other simple gates • Each gate has its own logic symbol which allows complex functions to be represented by a logic diagram • The function of each gate can be represented by a truth table or using Boolean notation
- 4. TRINITY INSTITUTE OF PROFESSIONAL STUDIES Sector – 9, Dwarka Institutional Area, New Delhi-75 4 • The AND gate • The AND gate has the following symbol and truth table. • Two or more input bits produce one output bit. • Both inputs must be true (1) for the output to be true. • Otherwise the output is false (0).
- 5. TRINITY INSTITUTE OF PROFESSIONAL STUDIES Sector – 9, Dwarka Institutional Area, New Delhi-75 5 • The OR gate • The OR gate has the following symbol and truth table. • Two or more input bits produce one output bit. • Either inputs must be true (1) for the output to be true.
- 6. TRINITY INSTITUTE OF PROFESSIONAL STUDIES Sector – 9, Dwarka Institutional Area, New Delhi-75 6 • The NOT gate (or inverter) • The simplest possible gate is called an "inverter" or a NOT gate. • One bit as input produces its opposite as output. • The symbol for a NOT gate is shown below. • The truth table for the NOT gate shows input and output.
- 7. TRINITY INSTITUTE OF PROFESSIONAL STUDIES Sector – 9, Dwarka Institutional Area, New Delhi-75 7What happens when you add a NOT to an AND gate? “Not AND” = NAND A B X 0 0 1 0 1 1 1 0 1 1 1 0
- 8. TRINITY INSTITUTE OF PROFESSIONAL STUDIES Sector – 9, Dwarka Institutional Area, New Delhi-75 8 • The NAND gate
- 9. TRINITY INSTITUTE OF PROFESSIONAL STUDIES Sector – 9, Dwarka Institutional Area, New Delhi-75 9What happens when you add a NOT to an OR gate? “Not OR” = NOR A B X 0 0 1 0 1 0 1 0 0 1 1 0
- 10. TRINITY INSTITUTE OF PROFESSIONAL STUDIES Sector – 9, Dwarka Institutional Area, New Delhi-75 10 • The NOR gate
- 11. TRINITY INSTITUTE OF PROFESSIONAL STUDIES Sector – 9, Dwarka Institutional Area, New Delhi-75 11 • The Exclusive OR gate • Exclusive OR gate are true if either input is true but not both. • The Symbol and Truth Table is shown below. • Output will be high for different inputs
- 12. TRINITY INSTITUTE OF PROFESSIONAL STUDIES Sector – 9, Dwarka Institutional Area, New Delhi-75 12 • The Exclusive NOR gate • The Symbol and Truth Table is shown below. • Output will be high for same inputs