CS: Boolean Logic and Logic Gates Worksheet

Question 1

In Boolean logic, a value can be either true or false. A variable A is true. What is NOT A?

Accepted Answer

NOT A is false because the NOT operator changes a Boolean value to its opposite.

Question 2

Evaluate the expression: true AND false.

Accepted Answer

The expression true AND false is false because an AND expression is true only when both inputs are true.

Question 3

Evaluate the expression: true OR false.

Accepted Answer

The expression true OR false is true because an OR expression is true when at least one input is true.

Question 4

Complete this truth table for A AND B: A = true, B = true. What is the output?

Accepted Answer

The output is true because both A and B are true, and an AND gate outputs true only when all inputs are true.

Question 5

Complete this truth table for A AND B: A = true, B = false. What is the output?

Accepted Answer

The output is false because one input is false, and an AND gate needs both inputs to be true.

Question 6

Complete this truth table for A OR B: A = false, B = false. What is the output?

Accepted Answer

The output is false because both inputs are false, and an OR gate needs at least one true input.

Question 7

Complete this truth table for A OR B: A = false, B = true. What is the output?

Accepted Answer

The output is true because B is true, and an OR gate outputs true if at least one input is true.

Question 8

A light turns on only when switch A is on and switch B is on. Which logic gate models this rule: AND, OR, or NOT?

Accepted Answer

The AND gate models this rule because the light turns on only when both switch A and switch B are on.

Question 9

A school website allows login if a user has a password OR a one-time code. Which logic gate models this rule: AND, OR, or NOT?

Accepted Answer

The OR gate models this rule because the user can log in when at least one of the two conditions is true.

Question 10

Evaluate the expression: NOT false AND true. Use normal order where NOT happens before AND.

Accepted Answer

The expression is true. NOT false becomes true, and then true AND true equals true.

Question 11

Evaluate the expression: NOT (true OR false).

Accepted Answer

The expression is false. First, true OR false equals true, and then NOT true equals false.

Question 12

A game door opens when a player has a key AND has completed the puzzle. If hasKey = true and puzzleComplete = false, does the door open? Explain using Boolean logic.

Accepted Answer

The door does not open because true AND false equals false. Both conditions must be true for the door to open.

CS: Boolean Logic and Logic Gates

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