Boolean Algebra & Logic Gates Start Up- Boolean Algebra & Logic Gates 1
- Boolean Algebra & Logic Gates 2 (From GIT Book)
- Simple Questions on Logic Gates
- Boolean Algebra & Logic Gates (Advanced)
- Logic Gates Revision (Simple)

Boolean algebra or Boolean logic is a calculation of truth values, developed by George Boole in the 1840s. In ICT it resembles logical multiplication xy, addition x + y, and negation −x to build combined circuits.

Boolean logic or Boolean algebra is a logical calculus which has only two values, 'true' or 'false'.

Boolean Logic is defined as a logical system of operators - 'AND', 'OR' and 'NOT'. It is a way of comparing individual bits and used in computer construction, switching circuits, etc.

' denotes negative**Boolean Algebra Quiz**

1. Give the relationship that represents the dual of the Boolean property A + 1 = 1?

(Note: * = AND, + = OR and ' = NOT)

1. A * 1 = 1

2. A * 0 = 0

3. A + 0 = 0

4. A * A = A

5. A * 1 = 1

2. Give the best definition of a literal?

1. A Boolean variable

2. The complement of a Boolean variable

3. 1 or 2

4. A Boolean variable interpreted literally

5. The actual understanding of a Boolean variable

3. Simplify the Boolean expression (A+B+C)(D+E)' + (A+B+C)(D+E) and choose the best answer.

1. A + B + C

2. D + E

3. A'B'C'

4. D'E'

5. None of the above

4.Which of the following relationships represents the dual of the Boolean property x + x'y = x + y?

1. x'(x + y') = x'y'

2. x(x'y) = xy

3. x*x' + y = xy

4. x'(xy') = x'y'

5. x(x' + y) = xy

5.Given the function F(X,Y,Z) = XZ + Z(X'+ XY), the equivalent most simplified Boolean representation for F is:

1. Z + YZ

2. Z + XYZ

3. XZ

4. X + YZ

5. None of the above

6. Simplification of the Boolean expression (A + B)'(C + D + E)' + (A + B)' yields which of the following results?

1. A + B

2. A'B'

3. C + D + E

4. C'D'E'

5. A'B'C'D'E'

7. Given that F = A'B'+ C'+ D'+ E', which of the following represent the only correct expression for F'?

1. F'= A+B+C+D+E

2. F'= ABCDE

3. F'= AB(C+D+E)

4. F'= AB+C'+D'+E'

5. F'= (A+B)CDE

8. An equivalent representation for the Boolean expression A' + 1 is

1. A

2. A'

3. 1

4. 0

9. Simplification of the Boolean expression AB + ABC + ABCD + ABCDE + ABCDEF yields which of the following results?

1. ABCDEF

2. AB

3. AB + CD + EF

4. A + B + C + D + E + F

5. A + B(C+D(E+F))

Answers

1. A * 0 = 0. The dual of any Boolean property may be obtained by interchanging all occurrences of the symbols (*,+,0,1) with the symbols (+,*,1,0). Beware of implicit AND operations (like xy); these ANDs are also converted to +. Therefore, the dual of x + 1 = 1 is: x*0 = 0.

2. 1 or 2

3. A + B + C

4. x(x' + y) = xy

5. Z + XYZ

6. A'B'

7. (A+B)CDE (DeMorgan's theorem twice)

8. 1

9. AB

I am here to discuss a simple definition of Boolean logic as-Boolean logic is a system of symbolic logic which is used in computers.Study of mathematical operations performed on binary variables that can have only two values: true or false. It provides a set of rules called Boolean logic that are indispensable in digital computer-circuit and switching-circuit design.

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