2. A sequential circuit with two D flip-flops A and B, two inputs X and Y, and one output Z is specified by the following input and output equations: DA = AX + XY DB = BX + XY Z=AB a b Draw the logic diagram of the circuit Derive the state table for the circuit Derive the state diagram for the circuit.

3. A sequential circuit with two D flip-flops, A and B, two inputs X and Y, and one output Z is specified by the following input and output equations: DA = AX + BY DB = B'(X+Y) Z = A + B a. b. C. Draw the logic diagram of the circuit. Derive the state table for the circuit. Derive the state diagram for the circuit.

please show working as solution is already provided

Circuit Lab 1 Given the following Boolean equations for outputs O1 and O2 0₁ = ABC + ABC+B O2 = AB 1.) Draw the logic gate diagram for 01 and O2 using only three - 3 input AND gates and two - 2 input OR gates and two-inverters 2.) Create the truth table for 01 and 0₂ 3.) Derive a minimized Boolean expression from the truth table using Kmaps

Draw the truth table of the logic circuit, Y (A+B) + (B'.C')

Given the Boolean function:  F = xy' + z'y'z + xyz e. Draw the logic diagram from the simplified expression and compare the total number of gates wilh the diagram of part (b).

4. A combinational circuit is defined by the following two Boolean functions: F₁ = B'C + AB F₂ = BC + AB Design the circuit with a decoder and two external OR gates.

Given the following logic circuit, a logic expression for the output function is: Z O F(x,y,z) = x.(z+y)+z.(z+y) OF(x,y,z) = (z+y).(x+z) O F(x,y,z) = x.z+x.y+z+z.y O F(x,y,z) = x.y+z O All of the above O None of the above F

3. A logic circuit has four inputs (x3X₂X₁Xo) representing an unsigned binary integer. The single output P is required to be 1 if the input is a prime number (zero may be taken as not being prime). Design the required logic.

Develop a logic circuit that will produce a 1 on its output only when all three inputs are 1s or when all three inputs are 0s.