Obtain the simplified expression of a given function in product of sum (POS) form. Also draw logic diagrams of simplified expression using OR-AND gate and NOR-NOR Implementation. F(x, y, z) = product(3,4,6,5,7)
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Course: Digital Logic Design
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- Q (A, B, C) = A̅ .B̅. C +A̅ .B. C + A .B. C̅ + A.B.C Karnaugh function given in the form Using the mapping method, you can use the simplified function separately in terms of minterms and maxters. obtain. Output functions with AND NOT for minterms and OR for maxters. Install separately with logic doors.a) Create a 4 Variable Karnaugh Map in paper by mapping 1’s for given standard SOP Boolean expression. After mapping , make relevant groups within Karnaugh Map by considering rules for making groups for 4 variable Karnaugh Map. After making relevant grouping , extract the minimum SOP expression by considering rules for extracting minimum SOP using Karnaugh Map. * Standard SOP: *Create Circuit Diagram using logic gates and logic converter in Multisim for given standard SOP and minimum SOP which you have solved. Do make sure that truth table for both expressions should evaluate same result.Q (A, B, C) = A̅ .B̅. C +A̅ .B. C + A .B. C̅ + A.B.C Karnaugh function given in the form Using the mapping method, you can use the simplified function separately in terms of minterms and maxterms. obtain. Output functions with AND NOT for minterms and OR for maxters. Install separately with logic doors.
- An X-input exclusive-OR gate and a Y-input exclusive-OR gate (where X=3, Y=4 have their outputs connected to a 2-input exclusive-NORgate. Do the following:a) Draw the logic diagram and analyze the logic expression of the output (in standard SOPform).b) List out all essential prime implicants.Simplify the expression f (A,B,C,D) = Sm (0,1,4,8,9,12,14,15) using K– map and realize the final expression using basic logic.Which of the following is an important feature of the sum-of-products form of expressions? • The delay times are greatly reduced over other forms. • The maximum number of gates that any signal must pass through is reduced by a factor of two. • No signal must pass through more than 2 gates (not including inverters). • All logic circuits are reduced to nothing more than simple AND and OR gates.
- Use Boolean algebra to simplify the following expression, then draw a logic gate circuit for the simplified expression:Sub:Digtial Logic DesignA design engineer has limited resources in terms of logic modules such as AND gate, OR gate and inverter module to implement the function. Simpify the Boolean function F-AB + (ACY + AB'C (AB + C) using theorems and corresponding postulates and mention in each step also.
- DIGITAL LOGIC DESIGN Are the following addition results Overflow or underflow and why?4. Simplify the Boolean expression AB+(AC)`+AB`C(AB+C) 5. Use the Design Procedure to design a device that will change serial data to parallel data. 6. Simplify the given expression to its SOP form. Draw the logic circuit for the simplified SOP function.4. A combinational logic circuit has four inputs and one output. The output is 1 if and only if the decimal number represented by the inputs in binary code is a prime number. i. Construct the truth table and simplify the Boolean expression into POS form using K-map. ii. Construct the logic diagram using OR-AND gate network with simplified POS expression iii. Construct the logic diagram using only NOR gates with simplified POS expression.