Voltage Signal and Binary System. Assignment Help

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Voltage signal

Analogue voltage signal

Digital voltage signal

The signal which represents the continuous variation of voltage with time is known as analogue voltage signal

1881_Voltage Signal and Binary System.png

The signal which has only two values. i.e. either a constant high value of voltage or zero value is called digital voltage signal

1356_Voltage Signal and Binary System1.png

Binary system:

(i) A number system which has only two characters i.e. 0 (Low value) and 1 (High value) is called as binary system

(ii) The electrical circuit which operates only in these two digits i.e. 1 (On or high) and 0 (i.e. Off or Low) are known as digital circuits.

(iii) Different values for the two states of digital signals:

State Code

Name for the State

1

On

Up

Closed

Excited

True

Pulse

High

Yes

0

Off

Down

Open

Unexcited

False

No pulse

Low

No

(1) In Boolean algebra only two types of state variables (0 and 1) are allowed.

(2) The variables (A, B, C ....) of Boolean algebra are subjected to three operations.

 

Operation

OR

AND

NOT

Represented by

(+) sign

(·) sign

bar over the variables

Boolean expression

Y = A + B

Y = A · B

Y = 870_Voltage Signal and Binary System5.png

Circuit Diagram

1699_Voltage Signal and Binary System2.png

2260_Voltage Signal and Binary System3.png 

 

 

734_Voltage Signal and Binary System4.png

Basic Boolean postulates and laws

(i) Boolean Postulates: 0 + A = A,  1 · A = A, 1 + A = 1,  0 · A = 0, A + 870_Voltage Signal and Binary System5.png = 1 

(ii) Identity law:  A + A = A, A · A = A

(iii) Negation law: 2337_Voltage Signal and Binary System6.png

(iv) Commutative law: A + B = B + A, A · B = B · A

(v)  Associative law:  (A+B) + C = A + (B+C)(A · B) · C = A · (B · C)

(vi)       Distributive law: A · (B+C) = A · B + A · C

(vii)      De Morgan's laws: 1984_Voltage Signal and Binary System7.png  and 276_Voltage Signal and Binary System8.png  also 1375_Voltage Signal and Binary System9.png  and 1449_Voltage Signal and Binary System10.png

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