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Digital System Design Quiz

Total questions: 5

Worksheet time: 15mins

Name
Class
Date
1.

Define combinational logic and list the steps in combinational logic design. OR Define following terms with example: Canonical SOP and Canonical POS

4 lines
2.

Convert the following Boolean expressions into their Canonical/Standard forms: i) f(a,b,c,d) = a'b + ac + bcd ii) f(x,y,z) = xyz + x'y'z' OR Design a combinational logic circuit that takes two 3-bit binary numbers as inputs and produces an output of logic '1' when the SUM of the two numbers is EVEN.

4 lines
3.

Using Karnaugh maps, determine all the prime implicants and prime implicates for each of the following Incomplete Boolean functions. In each case, indicate which is essential. f(w,x,y,z) = ∑m(0,2,5,7,8,10,13,15) + d(1,4,11,14) OR Using Karnaugh maps, determine all the prime implicates for each of the following Boolean functions. f(v,w,x,y,z) = ПM(0,2,4,6,8,12,14,15,16,18,20,22,30,31)

4 lines
4.

Using Quine-McCluskey method, obtain all prime implicant for the following Boolean function: J = fa,b,c,d= ∑0,1,4,5,9,10,12,14,15+dc2,8,13 OR Using Quine-McCluskey method, obtain all prime implicant for the following Boolean function: K= fa,b,c,d= ПM0,3,4,7,8,10,12,14,+d(2,6)

4 lines
5.

Design Full adder circuit OR Design Full subtractor circuit

4 lines