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Thread: CS302 Digital Logic Design Assignment No 03 Solution 19th January 2016

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    Yelp 32 CS302 Digital Logic Design Assignment No 03 Solution 19th January 2016

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    Question Statement:
    You are provided with a figure that represents 4x3 PLA. You have to find out:

    I. Boolean expression for P1, P2, P3, P4, P5 & P6.
    II. Boolean expression for Final Outputs O1, O2 & O3 OR Gates
    III. Convert all Boolean expressions (P1, P2, P3, P4, P5, P6, O1, O2 & O3) into ABEL expressions/equations.

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    Solution:
    A̅ B̅ C̅ D̅ A B C D

    P1= A.B̅.D̅
    P2= A.B̅.C̅.D
    P3= A̅.B.C.D̅
    P4= A̅.B̅
    P5= A̅.B̅.C̅
    P6= A.B̅.C̅.D

    O1= P1+P3+P4+P6
    O1= A.B̅.D̅ + A̅.B.C.D̅+ A̅.B̅ + A.B̅.C̅.D
    O2= P2+P4+P6
    O2= A.B̅.C̅.D+ A̅.B̅+ A.B̅.C̅.D
    O3= P1+P3+P6
    O3= A.B̅.D̅+ A̅.B.C.D̅+ A.B̅.C̅.D

    Now writing expression in ABEL
    Boolean Exp.
    ABEL EXP
    P1= A.B̅.D̅

    P1= A&!B&!D
    P2= A.B̅.C̅.D
    P2= A&!B&!C&D
    P3= A̅.B.C.D̅
    P3= !A&B&C&!D
    P4= A̅.B̅
    P4= !A&!B
    P5= A̅.B̅.C̅
    P5= !A&!B&!C
    P6= A.B̅.C̅.D
    P6= A&!B&!C&D

    Boolean Exp

    ABEL Exp


    O1= P1+P3+P4+P6
    O1= A.B̅.D̅ + A̅.B.C.D̅+ A̅.B̅ + A.B̅.C̅.D
    O1= P1#P3#P4#P6
    O1= A&!B&!D#!A&B&C&!D#!A&!B# A&!B&!C&D

    O2= P2+P4+P6
    O2= A.B̅.C̅.D+ A̅.B̅+ A.B̅.C̅.D

    O2= P2#P4#P6
    O2= A&!B&!C&D#!A&!B# A&!B&!C&D

    O3= P1+P3+P6
    O3= A.B̅.D̅+ A̅.B.C.D̅+ A.B̅.C̅.D

    O3= P1#P3#P6
    O3= A&!B&!D#!A&B&C&!D# A&!B&!C&D

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