Tuesday, 27 August 2024

DLCD Assignment-1 2025

 

ASSIGNMENT 1

SUBJECT CODE-- ECC 207


BATCH- IT-123
SUBMISSION DATE - 27 AUGUST 2025

Q.1   Expand [A(A’+B)(A’+B+C’)] to maxterms and minterms . 

Q.2   Find the reduced expression for the following using K-maps:

a)    F = A’B’+A’B+AB’

                b)    F = A’B’+AB+A’B

c)     F = (A+B)(A+B’)(A’+B’)

                d)    F = A’B’C’+A’BC’+ABC’ +AB’C

e)    F = (A+B+C)(A’+B+C’)(A’+B’+C’)(A+B’+C’) (A’+B’+C)

                f)      F = AB’+AC’+ABC+AB’

                g)     F(A,B,C) = ∑m(0,4,5,7)

                h)    F(A,B,C) = ∑m(0,1,3,5,7)

                i)       F(A,B,C,D) = ∑m(0,1,2,3,5,7,8,9,10,12,13)

                j)       F(A,B,C,D,E) = ∑m(0,2,3,10,11,12,13,16,17,18,19,20,21,26,27)

k)     F(A,BC,D) = ∑m(0,2,6,10,11,12,13) + d(3,4,5,14,15)

                l)       F(A,B,C,D) = ∑m(0,1,3,4,5,7,10,13,14,15)

m)    F(A,B,C,D) = ∑m(0,2,3,6,7,8,10,11,12,15)

                n)    F(A,B,C,D) = ∑m(0,1,3,4,5,6,7,13,15)

                o)    F(A,B,C,D) = ∏M(6,7,8,9). d(10,11,12,13,14,15)

                p)    F(A,B,C,D) = ∏M(1,5,6,7,11,12,13,15)

                q)    F(A,BC,D) = ∑m(1,5,6,12,13,14) + d(2,4)