XI CS : BOOLEAN ALGEBRA by nitin gupta

XI CS : BOOLEAN ALGEBRA by nitin gupta https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1 Made with wonder en-us 2020-12-14 03:58:17 UTC 2026-01-20 23:12:09 UTC hello@padlet.com 1. nitinguptamaps https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1622862199 Name the law shown below & verify it using a . truth table.
X+Y.Z=(X+Y).(X+Z)
2.
Name the law shown below & verify it using a truth table.
A + B . C = (A + B). (A + C).
3.
Convert the following boolean expression into its equivalent Canonical Sum of Products form (SOP) :
(U + V + W) (U + V + W’) (U’ + V + W) (U’ + V’ + W’)
4.
REDUCE THE FOLLOWING FUNCTION USING K-MAP
F(A,B,C,D)=SOP(0,3,7,8,11,13,14,15)
5.
Verify the following using Boolean Laws.
X + Y’ = X. Y + X. Y + X’. Y
6. find dual of the following
(a'b'c)+(a'b'c')+(abc')
7.
Reduce the following Boolean Expression using KMap :
F(A, B, C, D) = ∑{0,1,3, 5, 6, 7,9,11,13,14,15}
ans - A’B’C’+D+BC
8.]]> 2021-06-24 03:27:59 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1622862199 naman tomar https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623040302 2021-06-24 05:35:39 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623040302 ayusha https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623040650 Ans-1 distributive law
0 0 0 1 1 1 1 1

Ans-2 sop= (U'VW') + (U'VW) +(UV'W) + (UVW')

Ans-3 (A'B'D')+(CDB)+(CDA)+ (AB)

Ans-4 (P'Q) + (Q+R')

Ans-5 X(Y+Y') +Y(X+X')
XY+XY'+YX+YX'
XY+XY'+X'Y

Ans-6 (a'+b'+c)(a+b'+c')(a+b+c')

Ans-7 (C'D'A')+(DA)+(B)]]> 2021-06-24 05:35:55 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623040650 Karan Aggarwal karanaggarwal9706 https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623041284 Ans.1LHS = 00011111 = RHS
Law used = Distributive Law.
Ans.2 LHS = 00011111 = RHS
Law used = Distributive Law.
Ans.3 (U.V.W) + (U.V.W’) + (U’.V.W) +(U’.V’.W’)
Ans.4 A'B' + AB' + CD' + ACD'
Ans.5
Ans.6 (a'+b'+c)(a'+b'+c')(a+b+c')
Ans.7
Ans.8 ( P'Q )+ (Q+R')

]]> 2021-06-24 05:36:22 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623041284 Prince https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042198 Ans1 distributive law
0,0,0,1,1,1,1,1

Ans2 - distributive law
0,0,0,1,1,1,1,1

Ans3 sop=( U'. V. W') + (U'. V. W) + (U. V'. W) + (U. V. W')

Ans4 (A'B'D') + (CDB) + (CDA) +(AB)

Ans-7 (A'B'C')+(BC)+(D)]]> 2021-06-24 05:37:09 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042198 Manvi gupta https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042256 ans 2 ) LHS = 0,0,0,1,1,1,1,1
RHS = 0,0,0,1,1,1,1,1
ANS1) 0,0,0,1,1,1,1,1
LAW USED IN BOTH QUES- DISTRIBUTIVE LAW
ANS3) SOP - ( U'.V.W' ) + ( U'.V.W ) + ( U.V'.W ) + ( U.V.W' )
ANS4) SOP - D'AB' + BCD + ACD + CD
ANS6) ( a' + b' + c ).( a' + b'+ c' ).( a + b + c' )
ANS7) A'C'D' + D + AD
ans8 ) P'.Q + (Q + R')]]> 2021-06-24 05:37:11 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042256 Yuvraj Singh Birdi https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042267 ANS 2 )A+B.C = (A+B).(A+C) = 00011111
ANS 3) SOP FORM = U'VW'+U'VW + UV'W++UVW'
ANS 4) (AB)+(A'B'C')+(BCD)+(ACD)
ANS 5) LHS = X'+Y'
= X.(Y+Y') + (X+X')
= X.Y + X.Y' + X.Y' +X'.Y'

= X.Y + X.Y' + X'.Y'
= RHS
ANS 6)

]]> 2021-06-24 05:37:12 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042267 Yashika https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042308 Yashika
Ans1-Distributive law
00011111
Ans2- Distributive law
LHS-00011111
RHS-00011111
LHS=RHS
Ans3-SOP=(U'.V.W')+(U'.V.W)+(U.V'.W)+(U.V.W')
Ans4-(A'B'D')+(CDB)+(CDA)+(AB)
Ans5-
Ans6-(a'+b'+c).(a+b'+c').(a+b+c')
Ans7-D+A'B'C'+BC
Ans8-(P'Q)+(Q+R')]]> 2021-06-24 05:37:14 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042308 Venketesh Jain https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042328 Ans 1) distributive law
LHS = 0 0 0 1 1 1 1 1
RHS = 0 0 0 1 1 1 1 1
Ans 3) U'VW'+ U'VW + UV'W + UVW'
Ans 4 ) C'D'B'+ DAB + CAB + CD
ans5)
Ans 6 ) A'+B'+C) . ( A'+B'+C'). (A+B+C')
Ans 7 ) A'C'D' + AD + B
Ans 8) (P'Q) + (R'+Q) ]]> 2021-06-24 05:37:15 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042328 Boolean Algebra piyushkhari15 https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042345 1. LHS = 00011111 = RHS
LAW USED = DISTRIBUTIVE LAW

2. LHS = 00011111 = RHS
LAW USED = DISTRIBUTIVE LAW

3. SOP = (U'VW')+(U'VW)+(UV'W)+(UVW')

4. (AB)+(A'B'D')+(BCD)+(ACD)

5. X+Y'
X.(Y+Y')+Y.(X+X')
X.Y+X.Y'+X.Y+X'.Y
X.Y+X.Y'+X'.Y
=RHS

6. (A'+B'+C).(A'+B'+C').(A+B+C')

7. (A'B'C')+(BC)+(D)

8. (P'Q)+(Q+R')

]]> 2021-06-24 05:37:16 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042345 Daksh Bains https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042431 A-1 Distributive law
0,0,0,1,1,1,1,1
A-2 Distributive law
0,0,0,1,1,1,1,1
A-3 (U' VW') +( U'VW)+(UV'W)+(UVW')
A-4 (A'B'D')+(CDB)+(ACD)+(AB)
A-7 - (A+C+D).B. (A'+D')
A-8 - (P'Q) + (Q+R') ]]> 2021-06-24 05:37:20 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042431 Aditya Jain https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042460 Ans 1 Distributive law
outcome - 0 0 1 1 1 1 1

Ans 2 Distributive law
outcome - 0 0 0 1 1 1 1 1

Ans 3. pi(0,1,4,7)
[2,3,5,6]
010.011,101,110
ans - U'VW'+U'VW + UV'W + UVW'

ans5 LHS = X + Y'
= X.(Y+Y') + Y.(X+X')
= x.y + x.y' + x.y + x'.y
= x.y + x.y' + x'.y
= Rhs

ans 4 (a'b'd') + (cdb) + (cda) + (ab)

ans 7 (a'+b'+c)(a+b'+c')(a+b+c')

ans 6 (a'+b'+c).(a+b'+c').(a+b+c')

]]> 2021-06-24 05:37:22 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042460 Ishaan Garg https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042462 1st
Distributive 00011111

2nd
Distributive 00011111

3rd
U'VW'+U'VW+UV'W+UVW'

4th
A'B'D'+BCD+ACD+AB

5th

6th]]> 2021-06-24 05:37:22 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042462 Manya https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042678 Ans-1 Distributive Law - 0,0,0,1,1,1,1,1
Ans-2 Distributive Law LHS=RHS= 0,0,0,1,1,1,1,1
Ans-3 (U'VW') + (U'VW) + (UV'W) + (UVW')
Ans-4 (A'B'D')+(CDB)+(CDA)+ (AB)
Ans-5 X + Y'
= X.(Y+Y') + Y.(X+X')
= X.Y + X.Y' + X.Y + X'.Y
= X.Y + X.Y' + X'.Y
= RHS
Ans-6 (A'+B'+C) (A+B'+C') (A+B+C')
Ans (A'B'C') + D + BC
Ans-8 P'Q + (Q+R') ]]> 2021-06-24 05:37:32 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623042678 vishesh https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623043044 ans 1 distributive law
00011111
ans 2 distributive law
00011111
ans 3 (u'vw")+(u'vw)+(uv'w)+uvw')
ans 4 (ab)+(a'b'd')+(bcd)+(acd)
ans 5 x+y'
x.(y+y')+y.(x+x')
x.y+x.y'+x.y+x'.y
x.y+x.y'+x'.y=rhs

ans 6 (a'+b'+c).(a'+b'+c').(a+b+c')
ans 7 (b)+(ad)+(a'c'd')
ans 8 (p'.q)+(q.r')]]> 2021-06-24 05:37:51 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623043044 sachin https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623043058 Ans 2
distributive law
LHS=RHS = 0 0 0 1 1 1 1 1
Ans 3
SOP
(U'V'W')+(U'VW)+(UVW')+(UV'W)
Ans 4
AB + CDA + CDB + A'D'B'
Ans 1
Distributive law
0 0 0 1 1 1 1 1
Ans 6
(A'+B'+C)(A+B'+C')(A+B+C')
Ans 7 ]]> 2021-06-24 05:37:52 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623043058 Anshul Jindal jindalanshul2005 https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623043340 Ans1- distributive law
LHS=RHS=0 0 0 1 1 1 1 1
Ans2- distributive law
LHS=RHS=0 0 0 1 1 1 1 1
Ans3- (U'VW')+(U'VW)+(UV'W)+(UVW')
Ans4- (A'B'D')+(BCD)+(ACD)+(AB)
Ans5-X + Y'
= X.(Y+Y') + Y.(X+X')
= X.Y + X.Y' + X.Y + X'.Y
= X.Y + X.Y' + X'.Y
= RHS
Ans6-(A'+B'+C).(A'+B'+C').(A+B+C')
Ans7- (A’B’C’)+(D)+(BC)]]> 2021-06-24 05:38:01 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623043340 saanvi https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623043421 ANS1 distributive law
00011111
ans2 distributive law
00011111
ans3 U'V'W'+U'V'W+UV'W'+UVW
ANS4 A'B'D'+CDB+CDA+AB
ANS5
ANS6 A'+B'+C.A'+B'+C'.A+B+C'
ANS7A'B'C'+D+CD'B
ANS8 (P'Q)+(Q+R')]]> 2021-06-24 05:38:05 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623043421 Pratyaksh https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623043446 Ans 2 Distributive law]]> 2021-06-24 05:38:06 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623043446 Sankalp Badoni https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623043500 Ans-1 Distributive Law
LHS = 00011111
RHS= 0011111
Ans-2 Distributive Law
LHS = 00011111
RHS = 00011111
Ans-3 SOP=U'V'W'+U'V'W+UV'W'+UVW
Ans-4 (A'B'D')+(CDB)+(CDA)+ (AB)]]> 2021-06-24 05:38:08 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623043500 Aashrut Sharma https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623045431 2021-06-24 05:39:30 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623045431 https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623045641 JAVIN
Ans1 distributive law
And ans=0 0 0 1 1 1 1 1
Ans 2 = distributive law
0 0 0 1 1 1 1 1
Ans 3 = U'VW' + U'VW + UV'W + UVW'
Ans 4 = A'B'D' + CDB + AB + CDA
Ans 6 = (a'+b'+c).(a+b'+c').(a+b+c')
Ans 7= A'B'C' + D + BC]]> 2021-06-24 05:39:39 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623045641 Aditya Sharma 11300 https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623045809 Ans-1 “Distributive Law”
Truth Table: 0 0 0 1 1 1 1 1

Ans-2 distributive law
0 0 0 1 1 1 1 1

Ans-3 sop= (U'VW') + (U'VW) +(UV'W) + (UVW')

Ans-4 (A'B'D')+(CDB)+(CDA)+ (AB)

Ans-6 (A'B'D') + (CDB) + (CDA) + (AB)

Ans-5
L. H. S.
= X + Y’
= X. (Y+Y’) + (X + X’). Y’
= X. Y + X. Y’ + X. Y’ + X’. Y’
= X. Y + X. Y’ + X’. Y’
= R. H. S
OR
= X. Y + X. Y’ + X’. Y’
= X. (Y + Y’) + X’. Y’
= X. 1 + X’. Y’
= X + X’. Y’
= X + Y
= L. H. S

Ans-7 (A'B'C')+(BC)+(D)]]> 2021-06-24 05:39:48 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623045809 Madhav Verma https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623046515 Ans1. Distributive law
Outcome --> 00011111

Ans2. Distributive law
Outcome --> 00011111

Ans3. SOP --> U'VW' + U'VW + UV'W + UVW'

Ans4. A'B'D' + BCD + ACD + AB

Ans5. X+Y'
X(Y+Y')+Y'(X+X')
XY+XY'+XY'+X'Y'
XY+XY'+X'Y'
=RHS

Ans6. (a'+b'+c).(a'+b'+c').(a+b+c')

Ans7. A'C'D' + AD + B

Ans8. P'Q + (Q+R')]]> 2021-06-24 05:40:22 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623046515 Tripti Bansal mona160977 https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623046879 Ans1. Distributive Law
RHS= 0 0 0 1 1 1 1 1
Ans2. Distributive Law
RHS= 0 0 0 1 1 1 1 1
Ans3. SOP= (U'VW') + (U'VW) +(UV'W) + (UVW')
Ans4.(A'B'D')+(CDB)+(CDA)+ (AB)
Ans5. LHS=X + Y'
= X.(Y+Y') + Y.(X+X')
= X.Y + X.Y' + X.Y + X'.Y
= X.Y + X.Y' + X'.Y
= RHS
Ans6. (a'+b'+c) (a+b'+c') (a+b+c')
Ans7. A'C'D' + AD + B
Ans8. (P'Q )+ (Q+R')

]]> 2021-06-24 05:40:39 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623046879 NAMAN TOMAR https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623046907 Ans1-
Ans 2 -distributive law
Ans 3- U'VW'+U'VW+UV'W+UVW'
Ans4- A'B'+AB'+CD'+ACD'

]]> 2021-06-24 05:40:39 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623046907 Aditya Sharma 8162 https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623051799 1. 00011111 Distributive Law
2. 0001111 Distributive Law
3.sop=U'V'W'+U'V'W+UV'W'+UVW
4.A'B'D'+BCD+ACD+AB
5. (P'Q)+(Q+R')
6.A'B'D'+CDB+CDA+AB
7.A'C'D'+AD+B]]> 2021-06-24 05:44:21 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623051799 Aashrut Sharma https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623053267 2021-06-24 05:45:21 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623053267 Ujjwal Sharma https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623053428 Ans 1)Distributive law
0 0 0 1 1 1 1 1
Ans 2) Distributive law
0 0 0 1 1 1 1 1
Ans 3) (U.V.W) + (U.V.W') + (U'.V.W) + ( U'.V'.W')
Ans 4) AB + A'B'C' + BCD + ACD
Ans 5)
Ans 6) (A' + B' + C) . (A'+B'+C') . A+B+C'
Ans 7) A'B'C' + D +BC
ANS 8) P'Q + (Q+R')]]> 2021-06-24 05:45:29 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623053428 Daksh Jain https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623053599 Ans 1) Distributive law
LHS =RHS =00011111
Ans 2) Distributive law
LHS =RHS = 00011111
Ans 3) SOP = (U'VW')+(U'VW)+(UV'W)+(UVW')
Ans 4) (A'B'D')+(BCD)+(AB)+(ACD)
Ans 5) ]]> 2021-06-24 05:45:37 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623053599 bhavya bansal https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623058502 ANS.1)
Distributive Law
00011111
ANS.2)
Distributive Law
00011111
ANS.8)
(P'Q)+(Q+R')
ANS.3)

]]> 2021-06-24 05:49:14 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623058502 Gauri https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623060887 3-(U'VW')+(U'VW')+(UV'W)+(U'VW')]]> 2021-06-24 05:51:04 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623060887 Kanav Sharma kanavsharma641 https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623069856 Ans 1 distributive law
Rhs=0,0,0,1,1,1,1,1
Ans 2 distributive law
Rhs=0,0,0,0,1,1,1,1,1
Ans3 SOP =(U'VW')
Ans 4 (A'B'C')+(CDB)+(CDA)+(AB)
Ans 5

]]> 2021-06-24 05:57:15 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623069856 Gauri https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623081138 7-1 octate, 3 pairs]]> 2021-06-24 06:05:26 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623081138 Pratyaksh https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623087589 Ans 1 Distributive law
Truth table 0 0 0 1 1 1 1 1
Ans 2 Distributive law
0 0 0 1 1 1 1 1
Ans 3 SOP
U'VW'+U'VW'+UV'W+U'VW'
Ans 4 A'B'D'+CDB+CDA+AB
Ans 5 P'Q+QR']]> 2021-06-24 06:10:07 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623087589 Shaikh Samiya https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623089145 Ans 1

Ans 2 distributive law
Outcome 00011111

Ans 3 U'V'W' + U'V'W+UV'W'+UVW

Ans4CD+B'C'D'+ADB+ABC

Ans5

Ans6 (a'+b'+c)(a+b'+c')(a+b+c')

Ans 7 D+A'B'C'+CD'B

Ans 8 P'Q +(Q+R')]]> 2021-06-24 06:11:13 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623089145 Gauri https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623091610 1 octagon, I quad,1pair]]> 2021-06-24 06:13:01 UTC https://padlet.com/nitinguptamaps/6lp5pe6kxeqer6u1/wish/1623091610