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Unit 01-Logic Simplification and Combinational Logic Design | Digital System Design AKTU B.tech

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Important Questions For Digital System Design: 
*Unit-01     *Unit-02    
*Unit-03    *Unit-04 
*Unit-05    *Short-Q/Ans
*Question-Paper with solution 21-22  

Q1. Design a combinational circuit that converts a BCD code to excess-3 code.

Design a combinational circuit that converts a BCD code to excess-3 code

1.The maps in Fig. 14.1, are plotted to obtain simplified boolean function for the outputs.

2. The boolean expressions created from the maps can be used to directly generate a two-level logic diagram of each output.

Design a combinational circuit that converts a BCD code to excess-3 code

Maps for BCD to excess-3 code converter.

Design a combinational circuit that converts a BCD code to excess-3 code

Que 2. Simplify the following boolean expression to a minimum number of literals.

Simplify the following boolean expression to a minimum number of literals

Que 3. Simplify the Boolean function.

F (w, x, y, z) = Σm(1,3,7, 11, 15)

which has the don’t care conditions

d (w, x, y, z) = Σd(0, 2, 5)

Answer

1. F(w, x, y, z) = Σm(1, 3, 7, 11, 15)

and don’t care conditions

d(w, x, y, z) = Σd(0, 2, 5)

Simplify the Boolean function

Q4. Simplify the boolean function Y together with don’t care condition d using K-map and implement it with two level NAND gate circuit.

Y= BD+ BCD+ ABCD 

Answer:

Simplify the boolean function Y together with don't care condition d using K-map and implement it with two level NAND gate circuit
Simplify the boolean function Y together with don't care condition d using K-map and implement it with two level NAND gate circuit

Q5. Simplify the following Boolean function using K-map Y= Σm (0, 1,3, 5,6, 7,9, 11, 16, 18, 19, 20, 21, 22, 24, 26)

Simplify the following Boolean function using K-map

Que 6.Use Quine-McCluskey (QM) method to solve the following function: F(A, B, C, D) = Σm(5, 7,8, 9, 10, 11, 14, 15)

Answer:

Use Quine-McCluskey (QM) method to solve the following function
Use Quine-McCluskey (QM) method to solve the following function
digital system and design important questions with solution

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