Boolean L2

​Do Now

​Boolean Logic L2

​Do Now Answers

​Boolean Lesson 2

• ​Understand Boolean Expressions

• Make logic circuits, truth tables and boolean expressions

​Key words: boolean expression, NOT, AND, OR, XOR

(​A AND B)

OR

(C AND D)

= Q

​(A AND B) OR (C AND D) = Q

​(A AND B) OR (C AND D) = Q

​(A ⋅ B) + (C ⋅ D) = Q

​A ⋅ B + C ⋅ D = Q

​A ⋅ B + C ⋅ D = Q

​A	​B	​C	​D	​Q
​0	​0	​0	​0	​0
​1	​0	​0	​0	​0
​1	​1	​0	​0	​1
​1	​1	​1	​0	​1
​1	​1	​1	​1	​1

​(A OR B) AND (C OR D) = Q

​(A OR B) AND (C OR D) = Q

​(A OR B) AND (C OR D) = Q

​(A+B)⋅(C+D) = Q

​A OR B AND NOT C = Q

​A OR B AND NOT C = Q

​(A + B) ⋅ C = Q

​_

​​A OR B AND NOT C = Q

​​(A . B)+ C = Y

​​(A . B)+ C = Y

NOT (​A AND B OR C) = Y

​​(A . B)+C = Y

NOT (​A AND B OR C) = Y

​Questions Ahead...

Multiple Choice

Which logic gate is this?

• AND

• OR

• NOT

• XOR

Multiple Choice

Which logic gate is this?

• AND

• OR

• NOT

• XOR

Multiple Choice

Which logic gate is this?

• AND

• NOT

• OR

• XOR

Multiple Choice

Which logic gate is this?

• AND

• NOT

• OR

• XOR

Multiple Choice

What is the boolean expression for this logic circuit?

• A OR B AND C = Q

• Q = (A AND B) OR C

• Q = A OR (B AND C)

• Q = (A OR B) AND C

Multiple Choice

Which is the truth table for the AND gate?

Multiple Choice

In this logic circuit, what is Q if the inputs are: A=0, B=1, C=0?

• 0

• 1

Multiple Choice

What is the boolean expression for this logic circuit?

• Q = NOT (A OR B)

• Q = NOT A AND B

• NOT A OR B = Q

• Q = (NOT A) OR B

Multiple Choice

Which Boolean expression operator is this:

+

• AND

• OR

• NOT

• XOR

Multiple Choice

Which Boolean expression operator is this:

⊕

• AND

• OR

• NOT

• XOR

Multiple Choice

Which Boolean expression operator is the overbar (above the brackets)

• AND

• OR

• NOT

• XOR

Multiple Choice

Which Boolean expression operator is this:

⋅

• AND

• OR

• NOT

• XOR

Draw

Create the boolean expression for: (A AND B) OR (NOT C)

​Activity 1