Q 4. (a) Prove or disprove that for any real numbers x and y, [x + y] = [x] + Lyl (b) Find the complement of the Boolean expression: f = x. y + (y + z). (c) Find the Dual of Boolean expression: f = y...

Extracted text: Q 4. (a) Prove or disprove that for any real numbers x and y, [x + y] = [x] + Lyl (b) Find the complement of the Boolean expression: f = x. y + (y + z). (c) Find the Dual of Boolean expression: f = y +y z+ X Z Q 5. Express the Boolean function f = ab + āc sum of product and product of sum. Q. 6. Construct the circuit that produces the output xy + xy + (y + 7)