Dout ###

Question

How dual and complement different from each other

Comments

And it talks about something called mutually exclusive terms what does that mean

---

for example ABC: Its equivalent mutual exclusive term is - A'B'C'

                  A'BC: Its equivalent mutual exclusive term is- AB'C'

                 A'BC': Its equivalent mutual exclusive term is -AB'C

 etc...............

Answer 1

As per Morris Mano

In Dual of a function We change 0 to 1 and 1 to 0 replace every AND by Or and Every Or by AND

In compliment of a function We change 0 to 1 and 1 to 0 replace every AND by Or and Every Or by And and also compliment each literal.

An dual of a function can be that function itself such functions are Know as self dual function but on other hand self complementing function does not exist.

Dual of 0 is 1, Compliment of 0 is 1

Dual of AB is A+B, Compliment of AB is (~A+~B)

let F(A,B,C)= AB+BC+CA Dual of this is the function itself. i.e Dual of F(A,B,C)=AB+BC+CA.

Comments

Can you explain me that answer pls I am Stuck there

---

where are you struck tell me I will explain that part

---

Can you pls explain it with an example

I have tried by taking f= A+B, for this only two functions exists right

1) A+B

2) AB

Answer 2

photo

Comments

yes you are correct

Answer 3

In dual we convert 0 to1..1 to 0...and to or and or to and.. While variable remains same

In complement we change variable to its negation form

Answer 4

for complement we change literals like a to ~a and ~a to a and + to . and . to +

for dual we will change only . to + and + to . keeping the literals same.