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Multiplexer Circuits and Boolean Function Implementation, Lecture notes of Engineering

Wayne State College Engineering

Information on multiplexer circuits and their implementation of Boolean functions. It explains the structure of a multiplexer circuit, its inputs and outputs, and how it selects binary information from multiple input lines. The document also includes examples of Boolean function implementation using multiplexers. It covers topics such as 2x1 Mux, 4x1 Mux, 8x1 Mux, and their function tables, logic diagrams, and block diagrams.

Typology: Lecture notes

2021/2022

Available from 12/22/2022

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Multiplexer 1

MULTIPLEXERS

•A multiplexer (MUX) circuit has a number

of data inputs, one or more select inputs,

and one output.

•The data input is selected by the values

of the select inputs.

•A multiplexer is a combinational circuit

that selects binary information from one of

many input lines and directs it to a single

output line.

Partial preview of the text

Download Multiplexer Circuits and Boolean Function Implementation and more Lecture notes Engineering in PDF only on Docsity!

Multiplexer

MULTIPLEXERS

•A multiplexer (MUX) circuit has a numberof data inputs, one or more select inputs,and one

output.

•The data input is selected by the valuesof the select inputs. •A multiplexer is a combinational circuitthat selects binary information from one ofmany input lines and directs it to a singleoutput line.

Multiplexer

2x1 Mux

0 1 I^0 I^1

YS I^00 I^11 Function table

S Block diagram Logic diagram

Multiplexer Function table

Multiplexer

4x1 Mux – 74LS153 SelectLines

Input lines forthe first 4X1Mux Input lines forthe second4X1 Mux

Multiplexer

4x1 Mux – 74LS

Multiplexer

Boolean Function Implementation

•Any Boolean function of

n^

variables can

be implemented with a multiplexer thathas

n-

select lines.

Multiplexer

Boolean Function Implementation – Example

F (X, Y, Z) =

Σm(1,2,6,7)

SelectLineinputsInput

Multiplexer

Boolean Function Implementation – Example1 F (X, Y, Z) =

Σm(1,2,6,7)

X

X’

I^3

I^2

I^1

I^0

X

X’

I^3

I^2

I^1

I^00

X’^

X

11^1

10^1

01^1

00^1

Z

11^0

10^0

01^0

00^0

Z’

I^3

I^2

I^1

I^0

Z

Z’

I^3

I^2

I^1

I^0 Z^

Z’^

Use X as an input variable Use Y, Z as select line inputs

Use Z as an input variable Use X, Y as select line inputs

Multiplexer

Boolean Function Implementation – Example

F (X, Y, Z) =

Σm(1,2,6,7)

SelectLineinputs^ Input

Multiplexer

8x1 Mux

–^

74LS

Multiplexer

Boolean Function Implementation – Example

F (A,B,C,D) =

Σm(1,3,4,11,12,13,14,15)

Multiplexer

Boolean Function Implementation – Example

F (A,B,C,D) =

Σm(1,3,4,11,12,13,14,15)

1^1^11

1^1^10

1^1^01

1^1^00

0^1^11

0^1^10

0^1^01

0^1^00

B

1^0^11

1^0^10

1^0^01

1^0^00

0^0^11

0^0^10

0^0^01

0^0^00

B’

I^7

I^6

I^5

I^4

I^3

I^2

I^1

I^0

B

B’

I^7

I^6

I^5

I^4

I^3

I^2

I^1

I^0 B^

B’^

GND

B’^

B^

VCC

Multiplexer

Boolean Function Implementation – Example

F (A,B,C,D) =

Σm(1,3,4,11,12,13,14,15)

C

C’

I^7

I^6

I^5

I^4

I^3

I^2

I^1

I^0

C

C’

I^7

I^6

I^5

I^4

I^3

I^2

I^1

I^0 GND^

VCC

C’

GND

C

VCC

Multiplexer

Multiplexer Circuits and Boolean Function Implementation, Lecture notes of Engineering

Related documents

Partial preview of the text

Download Multiplexer Circuits and Boolean Function Implementation and more Lecture notes Engineering in PDF only on Docsity!

MULTIPLEXERS

•A multiplexer (MUX) circuit has a numberof data inputs, one or more select inputs,and one

output.

•The data input is selected by the valuesof the select inputs. •A multiplexer is a combinational circuitthat selects binary information from one ofmany input lines and directs it to a singleoutput line.

2x1 Mux

4x1 Mux – 74LS153 SelectLines

4x1 Mux – 74LS

Boolean Function Implementation

•Any Boolean function of

n^

variables can

be implemented with a multiplexer thathas

n-

select lines.

Boolean Function Implementation – Example

Boolean Function Implementation – Example1 F (X, Y, Z) =

Σm(1,2,6,7)

X

X’

I^3

I^2

I^1

I^0

X

X’

I^3

I^2

I^1

I^00

X’^

X

11^1

10^1

01^1

00^1

Z

11^0

10^0

01^0

00^0

Z’

I^3

I^2

I^1

I^0

Z

Z’

I^3

I^2

I^1

I^0 Z^

Z’^

Boolean Function Implementation – Example

8x1 Mux

–^

74LS

Boolean Function Implementation – Example

F (A,B,C,D) =

Σm(1,3,4,11,12,13,14,15)

Boolean Function Implementation – Example

F (A,B,C,D) =

Σm(1,3,4,11,12,13,14,15)

1^1^11

1^1^10

1^1^01

1^1^00

0^1^11

0^1^10

0^1^01

0^1^00

B

1^0^11

1^0^10

1^0^01

1^0^00

0^0^11