Basic logic gates, Computer Engineering

Assignment Help:

Basic logic gates

Introduce the basic logic gates in terms of

a) their function,

b) their circuit symbol,

c) their truth table and

d) their equivalent in Boolean algebra (a mathematical method based on human reasoning which will be explained later).

 

The NOT gate or inverter.

The NOT gate is the simplest of all logic circuits. It has just one input and one output. If the input is a logic level 1 then the output is a logic level 0. Similarly if the input is 0 then the output is 1 so that the output is the inverse of the input. The circuit symbol is

1351_NOT gate or inverter.png

The truth table for a NOT gate is

A

X

0

1

1

0

The Boolean algebra equivalent is 

X-> ‾A

 

The OR gate.

The output of an OR gate is at logic level 1 when any of the inputs are high otherwise it is at logic level 0. There may be any number of inputs. The circuit symbol for a three input OR gate is

1307_OR gate.png

 

The Boolean algebra equivalent is

X = A + B + C

 

The truth table of a three input OR gate is

A

B

C

X

0

0

0

0

0

0

1

1

0

1

0

1

0

1

1

1

1

0

0

1

1

0

1

1

1

1

0

1

1

1

1

1

 

The AND gate.

The output of an AND gate is only high when all of the inputs are high, otherwise the output is low. There may be any number of inputs just like the OR gate. The circuit symbol for a three input AND gate is

 

1422_AND gate.png

 

 

The truth table for a three input AND gate is

A

B

C

X

0

0

0

0

0

0

1

0

0

1

0

0

0

1

1

0

1

0

0

0

1

0

1

0

1

1

0

0

1

1

1

1

 

The Boolean algebra equivalent is

X = A.B.C

 


Related Discussions:- Basic logic gates

Working of read-only memory, Q. Working of Read-Only Memory? A ROM is f...

Q. Working of Read-Only Memory? A ROM is fundamentally a memory or storage device in which a fixed set of binary information is stored. A block diagram of ROM is as displayed i

Explain pass-1 algorithm of passes used in two-pass-assemble, Explain pass-...

Explain pass-1 algorithm of passes used in two-pass assembler? Pass I: (i) Separate the symbol, operand fields and mnemonic opcode (ii) Make the symbol table (iii)

Telecommunication, name the switching schemes used in a digital exchange. h...

name the switching schemes used in a digital exchange. ho call processing takes place?

State the optimal route of node, State the optimal route of node Consid...

State the optimal route of node Consider the node i which has path length K+1, with the directly preceding node on the path being j. The distance to node i is w(j, i) plus the

Layers of distributed system architecture, Q. Layers of Distributed System ...

Q. Layers of Distributed System architecture? Layers of Distributed System architecture are: Presentation Layer is actual user interface. This layer receives input and

Superscalar processors, Superscalar Processors In scalar processors, on...

Superscalar Processors In scalar processors, only one instruction is implemented per cycle. That means only single instruction is issued per cycle and only single instruction i

C++ programming, how does a ohms law c++ programming works

how does a ohms law c++ programming works

State the hardware faults and softwate faults, State the hardware faults an...

State the hardware faults and softwate faults - protection against hardware faults could be to keep backups or use GFS; use of UPS (in case of power loss) and parallel system a

What is full trust, What is Full Trust? Your code is permitted to do an...

What is Full Trust? Your code is permitted to do anything in the framework, meaning that all (.Net) permissions are granted. The GAC has Full Trust because it's on the local HD

Explain the various interface circuits, Explain the various interface circu...

Explain the various interface circuits.  An I/O interface having of circuitry required to connect an I/O device to computer bus. One side having of a data path with its associa

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd