For the following Boolean expressions, simplify if simplification is possible then draw the circuit diagrams for the expressions: i. (A+B)(B+C) ii. iii. iv. (AB+C)D A'B + (B+C)' (AB)' + (CD)'
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- 12. Construct circuits for the following expressionst a. xỹ+xy b. (x + y) +yz c. (Xz + y)zA B What boolean expression is equivalent to the circuit presented in the figure? Q = (A and B) or ((B or C) and (C and A)) Q = (A and B) or ((B or C) and (C and B)) Q = (A or B) or ((B or C) and (C and B)) Q = (A and B) or (B or C) and (C or B) %3D C.Given the following expression: X .= AB + AB a) draw the circuit that represents this expression as is. b) simplify the expression using Boolean algebra rules. State your steps and the rules used.
- We consider a circuit having four inputs and one output. The output has the value 1 if at least half of the inputs have the value 1. In this case, the circuit is a not-a-minority circuit. 1) Build a truth table for the circuit presented in the description above. 2) Using this truth table, find a Boolean expression which represents the same function, and by using Boolean algebra, simplify it as much as possible. 3) Verify the design of the circuit.6. Using Boolean algebra simplify the expression: F= XZ+X(Y+Z) + Z(Y +Z)Draw the circuit for the following Boolean expression: P = (X and Y) or (not X or Z)
- Simplify the following expressions by applying Boolean rules. (X + Ȳ + Z) + XȲ + Z6. For the following Verilog code, draw the corresponding circuit diagram for "bigMod". Your circuit should only involve standard gates (AND, OR, NAND, NOR, XOR, Inverter), and the variable names Val, X, Y, and Z. DO NOT SIMPLIFY THE CIRCUIT. Note: all of the code is legal Verilog, with no errors. module tstMod (F, A, B, C); output logic F; input logic A, B, C; assign F endmodule = (A & ~B & C) | (A & C) | ~B; module bigMod (Val, X, Y, output logic Val; input logic X, Y, Z; logic T; Z); .C (Y)); tstMod T1 (.F (T), .A (X), .B (1'bl), tstMod T2 (.F (Val), .A(Z), .B (T), .C (X)); endmodule1. Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (A + B)č. Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (AB)(BC). Write the Boolean expression that is equivalent to the following circuit. D 2. Use the Word table tool to construct the truth table for this circuit. Be sure to include intermediate values. Insert columradings in the first row. Be sure to use the Insert > Equation tool so that standard Boolean logic symbols are displayed in the headings.