Boolean theorems, or Boolean algebra, is a mathematical system that analyzes and simplifies digital logic circuits. It was developed by George Boole in the mid-19th century and is named after him. Boolean algebra is based on the idea that there are only two possible states for any variable or expression: true (1) or false (0).
60 multiple choice questions on boolean theorems
In this article, we are going to discuss multiple choice questions on boolean theorems, Sixty questions are given below:
Which of the following is a Boolean theorem used for simplifying Boolean expressions?
- a) Thevenin’s theorem
- b) Superposition theorem
- c) De Morgan’s theorem
- d) Kirchhoff’s theorem
Which of the following is an example of a Boolean variable?
- a) Temperature
- b) Voltage
- c) Time
- d) Switch state
Which of the following is the Boolean expression for the NAND gate?
- a) A + B
- b) AB
- c) A’B
- d) A ⊕ B
What is the output of an AND gate when both inputs are 0?
- a) 0
- b) 1
- c) -1
- d) None of the above
Which of the following Boolean theorems is used to simplify the expression (A.B) + (A.C)?
- a) De Morgan’s theorem
- b) Distributive law
- c) Commutative law
- d) Associative law
Which of the following Boolean theorems is used to simplify the expression A + A’B?
- a) Absorption law
- b) Commutative law
- c) Associative law
- d) Distributive law
What is the output of an XOR gate when the inputs are 1 and 0?
- a) 1
- b) 0
- c) -1
- d) None of the above
Which of the following Boolean theorems is used to simplify the expression A + AB?
- a) Identity law
- b) Inverse law
- c) Complement law
- d) Distributive law
What is the output of a NOT gate when the input is 1?
- a) 0
- b) 1
- c) -1
- d) None of the above
Which of the following gates is equivalent to the Boolean expression A+B?
- a) NOR gate
- b) OR gate
- c) NAND gate
- d) NOT gate
What is the complement of the Boolean function F(A,B,C) = A’B’C’?
- a) F(A,B,C) = ABC
- b) F(A,B,C) = A+B+C
- c) F(A,B,C) = A’+B’+C’
- d) F(A,B,C) = A’B’C
Which of the following Boolean theorems is used to simplify the expression (A + B)(A + C)?
- a) Absorption law
- b) Complement law
- c) Associative law
- d) Distributive law
What is the output of an OR gate when both inputs are 0?
- a) 0
- b) 1
- c) -1
- d) None of the above
Which of the following is the Boolean expression for the NOR gate?
- a) A + B
- b) AB
- c) A’B
- d) A ⊕ B
Which of the following Boolean theorems is used to simplify the expression A + AB?
- a) Identity law
- b) Inverse law
- c) Complement law
- d) Distributive law
What is the output of a NAND gate when both inputs are 1?
- a) 0
- b) 1
- c) -1
- d) None of the above
Which of the following is the Boolean expression for the XOR gate?
- a) A + B
- b) AB
- c) A’B
- d) A ⊕ B
Which of the following Boolean theorems is used to simplify the expression A + A’B?
- a) Absorption law
- b) Commutative law
- c) Associative law
- d) Distributive
What is the output of an AND gate when one input is 1 and the other is 0?
- a) 0
- b) 1
- c) -1
- d) None of the above
Which of the following Boolean theorems is used to simplify the expression (A + B)(A + B’)?
- a) Absorption law
- b) Complement law
- c) Associative law
- d) Distributive law
What is the output of a NAND gate when one input is 1 and the other is 0?
- a) 0
- b) 1
- c) -1
- d) None of the above
Which of the following Boolean theorems is used to simplify the expression A(A + B)?
- a) Absorption law
- b) Complement law
- c) Associative law
- d) Distributive law
What is the complement of the Boolean function F(A,B,C) = AB+C’?
- a) F(A,B,C) = AB+C
- b) F(A,B,C) = A+B+C’
- c) F(A,B,C) = A’B’+C
- d) F(A,B,C) = AB’+C
Which of the following is the Boolean expression for the AND gate?
- a) A + B
- b) AB
- c) A’B
- d) A ⊕ B
Which of the following Boolean theorems is used to simplify the expression (A + B)(A’ + B)?
- a) Absorption law
- b) Complement law
- c) Associative law
- d) Distributive law
What is the output of an OR gate when one input is 1 and the other is 0?
- a) 0
- b) 1
- c) -1
- d) None of the above
Which of the following Boolean theorems is used to simplify the expression A + AB’?
- a) Absorption law
- b) Commutative law
- c) Associative law
- d) Distributive law
What is the complement of the Boolean function F(A,B,C) = (A+B)(A’+B’)C?
- a) F(A,B,C) = AB’C’
- b) F(A,B,C) = AB’C
- c) F(A,B,C) = A’B’C’
- d) F(A,B,C) = A’B’C
Which of the following Boolean theorems is used to simplify the expression (A + B)C + A’B’C?
- a) De Morgan’s theorem
- b) Distributive law
- c) Commutative law
- d) Associative law
What is the output of an XOR gate when both inputs are 1?
- a) 0
- b) 1
- c) -1
- d) None of the above
Which of the following Boolean theorems is used to simplify the expression A(B + C)?
- a) Absorption law
- b) Complement law
- c) Associative law
- d) Distributive law
What is the output of a NOR gate when both inputs are 0?
- a) 0
- b) 1
- c) -1
- d) None of the above
Which of the following is the Boolean expression for the NOT gate?
- a) A + B
- b) AB
- c) A’B
- d) A ⊕ B
Which of the following Boolean theorems is used to simplify the expression (A + B’)C + AB’C?
- a) De Morgan’s theorem
- b) Distributive law
- c) Commutative law
- d) Associative law
What is the complement of the Boolean function F(A,B,C) = A’BC’?
- a) F(A,B,C) = AB’C
- b) F(A,B,C) = A+B+C
- c) F(A,B,C) = A+B’C’
- d) F(A,B,C) = ABC
Which of the following Boolean theorems is used to simplify the expression A + A’B?
- a) Absorption law
- b) Complement law
- c) Associative law
- d) Distributive law
What is the output of a NAND gate when both inputs are 1?
- a) 0
- b) 1
- c) -1
- d) None of the above
Which of the following Boolean theorems is used to simplify the expression A + A’B + AC?
- a) Absorption law
- b) Complement law
- c) Associative law
- d) Distributive law
What is the complement of the Boolean function F(A,B,C) = A + B’C?
- a) F(A,B,C) = A’B+C’
- b) F(A,B,C) = A’+B’C’
- c) F(A,B,C) = AB’C
- d) F(A,B,C) = A’B+C
Which of the following is the Boolean expression for the NAND gate?
- a) A + B
- b) AB
- c) A’B
- d) A ⊕ B
Which of the following Boolean theorems is used to simplify the expression (A + B)(A + C)?
- a) Absorption law
- b) Complement law
- c) Associative law
- d) Distributive law
What is the output of an OR gate when both inputs are 1?
- a) 0
- b) 1
- c) -1
- d) None of the above
Which of the following Boolean theorems is used to simplify the expression (A + B’)(A + C’)?
- a) Absorption law
- b) Complement law
- c) Associative law
- d) Distributive law
What is the complement of the Boolean function F(A,B,C) = A’B’ + AC?
- a) F(A,B,C) = AB’ + A’C’
- b) F(A,B,C) = A+B+C
- c) F(A,B,C) = A+B’C’
- d) F(A,B,C) = AB’C
Which of the following Boolean theorems is used to simplify the expression A + AB?
- a) Absorption law
- b) Complement law
- c) Associative law
- d) Distributive law
What is the output of a NOR gate when one input is 1 and the other is 0?
- a) 0
- b) 1
- c) -1
- d) None of the above
Which of the following Boolean theorems is used to simplify the expression A(B + C’)?
- a) Absorption law
- b) Complement law
- c) Associative law
- d) Distributive law
What is the complement of the Boolean function F(A,B,C) = AB’ + AC’?
- a) F(A,B,C) = A’B’C’
- b) F(A,B,C) = A’B + A’C
- c) F(A,B,C) = AB’C
- d) F(A,B,C) = A’B + AC
Which of the following Boolean theorems is used to simplify the expression (A + B)(A’ + C)?
- a) Absorption law
- b) Complement law
- c) Associative law
- d) Distributive
What is the output of an XOR gate when both inputs are 1?
- a) 0
- b) 1
- c) -1
- d) None of the above
Which of the following Boolean theorems is used to simplify the expression (A + B)(A’ + B’)?
- a) Absorption law
- b) Complement law
- c) Associative law
- d) Distributive law
What is the complement of the Boolean function F(A,B,C) = A + B’ + C’?
- a) F(A,B,C) = A’B’C
- b) F(A,B,C) = AB’C’
- c) F(A,B,C) = A’B + AC
- d) F(A,B,C) = A’B’C’
Which of the following Boolean theorems is used to simplify the expression A(A + B)?
- a) Absorption law
- b) Complement law
- c) Associative law
- d) Distributive law
What is the output of a NOT gate when the input is 1?
- a) 0
- b) 1
- c) -1
- d) None of the above
Which of the following Boolean theorems is used to simplify the expression A(B + C) + A(B + C’)?
- a) Absorption law
- b) Complement law
- c) Associative law
- d) Distributive law
What is the complement of the Boolean function F(A,B,C) = A’BC + AC’?
- a) F(A,B,C) = A+B’C’
- b) F(A,B,C) = AB’C
- c) F(A,B,C) = AB’ + A’C’
- d) F(A,B,C) = A’B + AC
Which of the following Boolean theorems is used to simplify the expression A + AB?
- a) Absorption law
- b) Complement law
- c) Associative law
- d) Distributive law
What is the output of an AND gate when one input is 1 and the other is 0?
- a) 0
- b) 1
- c) -1
- d) None of the above
Which of the following Boolean theorems is used to simplify the expression (A + B)(A’ + B + C)?
- a) Absorption law
- b) Complement law
- c) Associative law
- d) Distributive law
What is the complement of the Boolean function F(A,B,C) = AB’ + AC?
- a) F(A,B,C) = A’B’C’
- b) F(A,B,C) = A’B + A’C
- c) F(A,B,C) = AB’C
- d) F(A,B,C) = A’B + AC’
