A majority circuit is a combinational circuit whose output is equal to 1 if the input variables have more 1’s than 0’s. The output is 0 otherwise.1. (a) Design a three-input majority circuit by finding the circuit’s truth table, Boolean equation, and a logic diagram.2. (b) Write and verify a HDL gate-level model of the circuit.

2. Consider the circuit below. a. Write the Boolean expression for output F in terms of A, B and C. b. Construct a truth table for the circuit with A as MSB and C as LSB. c. Write the Canonical SOP and POS forms for output F. A B C 3. Draw the logic circuit represented by the expression F(A, B) = AB using no more than 5 units of 2-input NAND gate and write the corresponding Boolean expression.

Develop the Logic Circuit for the Boolean equation shown below • Draw the circuit to generate the output F. • Develop a truth table for the circuit shown F = ¹A + B¹ * [℃ * D]

Consider a variant of the Fredkin gate