The AND Operation

Show your work for each problem.

1.
What does the AND operation return when both inputs are TRUE?
1. a)Neither TRUE nor FALSE
2. b)FALSE
3. c)TRUE
4. d)It depends on other factors
Answer: TRUE
TRUE AND TRUE = TRUE. This is the only case where AND returns TRUE — when both inputs are true.
2.
What is the result of TRUE AND FALSE?
1. a)FALSE
2. b)ERROR
3. c)TRUE
4. d)UNKNOWN
Answer: FALSE
TRUE AND FALSE = FALSE. Since one input is FALSE, the AND operation returns FALSE. AND needs both inputs to be TRUE.
3.
What is FALSE AND FALSE? (Answer: TRUE or FALSE)
Answer: FALSE
FALSE AND FALSE = FALSE. AND only returns TRUE when both inputs are TRUE. Here, neither input is TRUE.
4.
What is FALSE AND TRUE? (Answer: TRUE or FALSE)
Answer: FALSE
FALSE AND TRUE = FALSE. Just like TRUE AND FALSE, if any input is FALSE, the AND result is FALSE.
5.
Which symbol is commonly used for the AND operation?
1. a)
2. b)
3. c)
4. d)
Answer:
is the AND symbol. is OR, is NOT, and is XOR.
6.
A phone unlocks when: (correct PIN) AND (face recognized). The PIN is correct but the face is not recognized. Will the phone unlock?
1. a)No, because both conditions must be true
2. b)Yes, because one condition is enough
3. c)Yes, because the PIN is correct
4. d)It depends on the phone model
Answer: No, because both conditions must be true
The phone will NOT unlock. TRUE AND FALSE = FALSE. Both conditions must be met for AND to return TRUE.
7.
Evaluate: TRUE AND TRUE AND FALSE (Answer: TRUE or FALSE)
Answer: FALSE
TRUE AND TRUE = TRUE. Then TRUE AND FALSE = FALSE. A chain of ANDs is only TRUE if ALL inputs are TRUE.
8.
A student can pass if: (attendance > 80%) AND (exam score > 60%) AND (project submitted). Tom has 85% attendance, scored 55% on the exam, and submitted the project. Does Tom pass?
Answer: No
1. Is attendance > 80%? (Tom has 85%) TRUE
2. Is exam score > 60%? (Tom scored 55%) FALSE
3. Is project submitted? TRUE
4. What is TRUE AND FALSE AND TRUE? FALSE
5. Does Tom pass? No
9.
How many rows in an AND truth table with 2 inputs result in TRUE?
1. a)1
2. b)2
3. c)0
4. d)4
Answer: 1
Only 1 row results in TRUE: when both inputs are TRUE. The other 3 combinations (T-F, F-T, F-F) all result in FALSE.
10.
Evaluate where , ,
Answer: TRUE
1. What are the values of P and Q? TRUE, TRUE
2. What is P AND Q? TRUE
3. Now we have TRUE AND R. What is R? TRUE
4. What is TRUE AND TRUE? TRUE
11.
A game requires: (level > 5) AND (coins > 100) AND (no active ban) to access multiplayer. Player has: level 8, 95 coins, no ban. Can they access multiplayer?
Answer: No
1. Is level > 5? (Player is level 8) TRUE
2. Is coins > 100? (Player has 95 coins) FALSE
3. Is there no active ban? TRUE
4. What is TRUE AND FALSE AND TRUE? FALSE
5. Can the player access multiplayer? No
12.
How many rows in an AND truth table with 3 inputs (P, Q, R) result in TRUE?
Answer: 1
Only 1 row results in TRUE: when P=TRUE, Q=TRUE, R=TRUE. All other 7 combinations have at least one FALSE, making the AND result FALSE.
13.
What is the key difference between AND and OR operations?
1. a)AND needs both TRUE; OR needs at least one TRUE
2. b)AND is for numbers; OR is for letters
3. c)AND needs at least one TRUE; OR needs both TRUE
4. d)AND and OR always give the same result
Answer: AND needs both TRUE; OR needs at least one TRUE
AND is stricter: it needs BOTH inputs to be TRUE. OR is more permissive: it only needs ONE input to be TRUE. This is the fundamental difference.
14.
Evaluate:
Answer: FALSE
1. Evaluate the first parenthesis: TRUE AND FALSE = ? FALSE
2. Evaluate the second parenthesis: TRUE AND TRUE = ? TRUE
3. Now evaluate: FALSE AND TRUE = ? FALSE
4. What is the final answer? FALSE
15.
An AND gate in a circuit has two switches. The light turns on only when:
1. a)Both switches are ON
2. b)At least one switch is OFF
3. c)Both switches are OFF
4. d)Either switch is ON
Answer: Both switches are ON
An AND gate requires both inputs to be TRUE (ON) to produce a TRUE (light on) output. This is how AND logic works in electronic circuits.
16.
In the expression , how many inputs must be TRUE for the entire expression to be TRUE?
Answer: 4
All 4 inputs (A, B, C, D) must be TRUE. In an AND chain, if even one input is FALSE, the entire expression becomes FALSE. Therefore, every single input must be TRUE.