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Wednesday, May 26, 2021, 8:06 PM, , COMBINED ISC 135 Page 1

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(a) Given the Boolean function F(A, B, C, D) = Σ (0, 2, 3, 4, 5, 8, 10, 11, 12, 13)., (i) Reduce the above expression by using 4-variable Karnaugh map, showing the various groups (i.e. octal,, quads and pairs). [4], (ii) Draw the logic gate diagram for the reduced expression using only NAND gates. Assume that the, variables and their complements are available as inputs. [1], , COMBINED ISC 135 Page 2

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(b) Given the Boolean function : F(P, Q, R, S) = π (0, 1, 2, 8, 9, 11, 13, 15)., (i) Reduce the above expression by using a 4-variable Karnaugh map, showing the various groups (i.e,, octal, quads and pairs). [4], (ii) Draw the logic gate diagram for the reduced expression using only NOR gates. Assume that the, variables and their complements are available as inputs. [1], , COMBINED ISC 135 Page 3