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Thursday, December 12, 2013

DIGITAL BASIC - 1.3 : LOGIC GATES (Part - b)


Index Chapter1 Chapter2 Chapter3 Chapter4
Digital
Background
Semiconductor Background CMOS
Processing


1.1 1.2 1.3a 1.3b 1.4 1.5 1.6
Number
System
Digital
Arithmetic
Logic
Gates
Logic
Gates
Combinational
Circuits
Multiplex
(MUX)

In the previous post we have discussed about the basics of Logic gates (Logic levels , Different types of gates, their truth table, Boolean expression and important points/notes about gates).
As I have mentioned that NAND and NOR gates are Universal gates and we can realize any basic gates using these Universal gates. So below is the table which will help you to understand how we can use NAND/NOR gates to realize the basic gates.

Realization of Basic gates using NAND and NOR gates:


Gate
Using NAND
Using NOR
NOT


AND


OR


NAND


NOR


XOR




XNOR





Important Points to remember:
  • The minimum number of NAND gates required to realize X NOR is five.
  • The minimum number of NOR gates required to realize X – NOR is four.
  • The minimum number of NAND gates required to realize X – OR gate is four.
  • The minimum number of NOR gates required to realize X – OR gate is five.
INHIBIT CIRCUITS:
AND, OR, NAND and NOR gates can be used to control the passage of an input logic signal through to the output. When a logic signal is applied to one of the input of the logic gates, the output of the gate is decided by the other input which is known as control input B.
The logic level at this control input will determine whether the input signal is “enable to each the output” or “inhibited from reaching the output”.


A bubbled NAND gate is equivalent to OR gate.



A bubbled NOR gate is equivalent to AND gate



A bubbled AND gate is equivalent to NOR gate



A bubbled OR gate is equivalent to NAND gate

In the next section we will discuss about the Combinational and Sequential circuits in Brief which help us in VLSI later on.

2 comments:

  1. Check out my notes also at: http://www.slideshare.net/shivoo.koteshwar/1sembasic-electronics-notesunit8digital-logic

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  2. This comment has been removed by the author.

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