# Discrete Mathematics - Boolean Algebra

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Which of the following respectively represent commutative law, Associative law and Distributive law ?
I. A.(B C)=(A.B).C
II. A.(B+C)=A.B+A.C
III. A + B = B + A
CODES

• A

I,III, and II  • B

II, I and III  • C

III, II and I  • D

III, I and II  • A

8  • B

16  • C

32  • D

256  • Option : D
• Explanation : Canonical form=SOP or POS No of min/MAX terms=23=8. Therefore, Canonical form will have 28 have  terms. Zero term canonical forms=8C0=1. One term canonical forms=8C1=8. Two term canonical forms=8C2=28 Similarly total number of canonical expressions= 8C0+8C1+8C2+8C3+8C4+8C5+8C6+8C7+8C8=256

• A

X + Y + Z  • B

XY + YZ  • C

X + YZ  • D

XZ + Y  • A

ab + (cd)' + cd + bd'  • B

a (b + c) + cd  • C

ab + ac + (cd)'  • D

bd' + c'd' + ab + cd  • A

Two of these literals are interchanged  • B

Any permutation of the literals  • C

All the literals are changed in anticlockwise order  • D

All the literals are changed in clockwise order  ## Description

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