Name the universal gates used in digital logic circuits and provide their logic symbols for two-variable inputs.

State and prove the De Morgan's law using truth table.

Draw the logic circuit diagram of the following Boolean expression: F= (X' . Y) + (X'+ Y')

a) State DeMorgan's Law of Boolean Algebra and verify them using truth table. b) Draw a logic circuit diagram for the Boolean expression: X=A'BC(A+D)'

State and prove De Morgan's first and second Law in Boolean Algebra

(a) Write the Boolean expression of the following logic circuit [IMAGE] (b) Verify X+XY=X using Truth Table.

Riya is working on a school project that involves building a simple security alarm system using logic gates. She uses sensors at two doors and connects them to a logic circuit. The alarm should sound only when at least one door is open. She uses two inputs: - A for Door 1 (1 = open, 0 = closed) - B for Door 2 (1 = open, 0 = closed) a) Which logic gate should Riya use to make the alarm sound when at least one door is open? b) What will be the output of the circuit if both doors are closed (A=0, B=0)? c) Which of the following input combination(s) will trigger the alarm? I. A = 1, B = 0 II. A = 0, B = 1 III. A = 1, B = 1 IV. All of the above d) Draw the logic gate symbol used by Riya, showing two inputs representing the doors and one output for the alarm.

Partigya, a student of class 11 is designing a circuit diagram. Help her to get the output out of it at different stages. (i) What will be the output at C? (ii) What will be the output at D? (iii) What will be the output at E? (iv) What will be the output at Z? (v) A cooler should turn ON when the door is closed and the fan is ON. Which gate should be used?

Ms Manali is a Assistant Programmer in HCL Technologies in Gurugram. She is studing about the logical circuits and verification of various laws of Boolean Algebra. Give direction to resolve following a. Draw logic circuit diagram for the following expression- Y = ab + b'c + c'a' b. State DE Morgan's Law of Boolean Algebra and verify them using truth table.

a. Write the equivalent Boolean expression for the Logic Circuit. [IMAGE] b. Ms Sakshi is a Class XI students and study about the number system and their mutual conversions. Help her to do the following conversions to other number systems – i. (76F)₁₆ = ( ? )₁₀ ii. (11001010)₂ = ( ? )₈ iii. (789)₁₀ = ( ? )₁₆