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

A digital circuit requires an output of 1 only when both inputs are different (One is 0 and the other is 1). Which logic gate should be used to implement this functionality? a) AND b) OR c) XOR d) NAND

Write the Boolean expression for an XOR gate and draw its truth table.

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

Prove the following identity using truth table: A·(B+C) = A·B + A·C.

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)'

(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.

Explain the three basic logic gates (AND, OR, NOT) with their symbols and truth tables.

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.