HW1_Solution

12 The simplified Boolean function in SoP, which is obtained from F (A,B, C) = 7 (2, 3, 4, 5, 6, 7) is: AB + A'B' None A'B'C' АВ A'B'

Assertion (A): XOR gate is not a universa gate. Reason (R) : It is not possible to realize any Boolean function using only XOR gates.

Logic Desgin

Simplify the following boolean expression- AB + B(A+C)

Part III: Combinational Logic Design Question Given F = Im (1, 2, 6, 7) a) Write the corresponding truth table b) Implement the circuit of F using a 4-input multiplexer. c) Implement the circuit of F using a 2-input multiplexer and some logic gates

QI: The following Boolean function Y=RA,B,C,D,E) =Em (0,1,2,4,5,6,10,13,14,18,21,22,24,26,29,30 ). Design the function with minimal logic gates using: (A) Map entered variable (MEV) Technique when E is entered variable. (B) Quine-McClusky method (Tabular method) (C) Karnaugh Map Method.

Logic design & Circuits

16 The simplified Boolean function in SoP, which is obtained from F(A,B. C) n (2, 3,4, 5. 6, 7) is ONone AB AU ABC

Simplify the boolean function f(x,y,z)=(x+y)(y+z)(x+z)

1) Givern the logic expression: F(A,B,C,D) = Em (0, 2, 5, 7, 8, 9, 13, 15) Use K-Map to simplify the expressions in SOP form and POS form and implement your circuit using any gates of your choice. Draw the K-map, the logic diagram and write down your expression neatly.

Combinational Logic Design and Implementation:

8. Implement the Boolean function F = xy+xy+yz (a) With AND, Or and inverter gates (b) With OR and inverter gates (c) With AND and Inverter gates and (d) With NAND and inverter gates

g Boolean Function: F(w,x,y,z) = (8,10,12,14)

Create a boolean function example that use and gate, or gate, inverter gate, nand gate, xor gate. The example must have Formula, Truth table, and Schematic Diagram.

please answer #3 in entirety. ALL PARTS

c) A digital logic circuit is required for a new brand of cell phone using the logic function below. Minimize the function using K-map and implement it using AND, OR, and NOT gates. F (A, B, C, D) = ™M (0, 2, 4, 10, 11, 14, 15)

Design a circuit that implements function p below using AND, OR, and NOT gates. DO NOT change the form of the equation

Code the following Hamitonian in spinless_fermions_basis_1D in python codes.

Computer Science F (a, b, c) = ∑(0, 1, 3, 4, 7) Identify which functional module requires less no. of logic gates.

question i pls computer enginner can do this

M.I Minimized expression X = Draw the logic diagram of this simplified circuit using AND/OR gates. Implement the circuit developed in Step 14 with CMOS NOR gates.

Draw the logic diagram corresponding to the following function:             F = xy + (x+z) + x’ Simplify the function by using Logisim tools

1. Simplify the following Boolean expression using K-map and draw the circuit for simplified expression using basic gates. F(A,B,C)= {m(1,2,3)+ [d(5,7)

Q1/ Simplify the Following Functions using Boolean algebra • F= (A + C)(AD + AD) + AC + C F= A(A + B) + (B + AA)(A + B) After minimizing, realize The Truth Table and Draw the Logic circuit. NOTE: USE LOGISIM TO DRAW THE LOGIC CIRCUITS

Q3. Implement the Boolean function F = xy + x'y' + y'z (a) With AND, OR, and inverter gates (b)* With OR and inverter gates (d) With AND and inverter gates With NAND and inverter gates (e) With NOR and inverter gates

For the Boolean functionF = xy / z + x / y / z + w / xy + wx / y + wxy(a) Obtain the truth table of F.(b) Draw the logic diagram, using the original Boolean expression.(c) Use Boolean algebra to simplify the function to a minimum number of literals.(d) Draw the logic diagram from the simplified expression, and compare the totalnumber of gates with the diagram of part (b).

1. A combinational circuit is specified by the three Boolean functions: F(A, B, C) = C(A' + B') + AC' + BC' G(A, B, C) = ABC + BC H(A, B, C) = A + B a. b. C. Create a truth table for the circuit. Simplify the expressions using Karnaugh maps. Draw the logic diagram for the circuit using the simplified expressions obtained in part b.

Question 3: A combinational circuit is specified by the following three Boolean functions: F1(A, B , C) = Σ(1, 4, 6) F2(A, B, C) = E(3, 5) F3(A, В, C) 3D 2(2, 4, 6, 7) Implement the circuit with a 3x8 decoder and NAND gates only (2-input and 3-input NAND gates are allowed)

Please include all the steps and reasonings and kindly make sure the answer is correct and properly formatted. Thank you

Logic Function F (x, y, z, w) = ∑ m (0,2,4,6,10,13) + ∑ k (8,12) as sum of minimers are given. (Note: There are terms that are not taken into account.) a. Obtain the Truth Table. b. Simplify with the Karnough Map approach. c. Draw the simplified Logic circuit with two input AND-NOT (NAND) gates. With how many apples you realized, what is your gain? Comment.

function f(x1,x2,x3,x4) =∑?(1,45,7,9,10,13) use Boolean algebra to simplify into a standard sum-of-products form And draw the logic network for the simplified SOP form

Truth Table for Logic Gates

F = [A(B+CD)+(B+C)D]' Draw the logical diagram of the function with NOR Gates. (Do not minimize the equation and apply it as it is)