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question_answer1)
In Boolean Algebra, the zero element ?0?
A)
Has two values done
clear
B)
Is unique done
clear
C)
As at least two values done
clear
D)
None of these done
clear
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question_answer2)
In Boolean Algebra, the unit element ?1?
A)
Has two values done
clear
B)
Is unique done
clear
C)
Has at least two values done
clear
D)
None of these done
clear
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question_answer3)
In a Boolean Algebra B, for all x in B, \[x\vee x=\]
A)
0 done
clear
B)
1 done
clear
C)
x done
clear
D)
None of these done
clear
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question_answer4)
In a Boolean Algebra B, for all x in B, \[x\wedge x=\]
A)
0 done
clear
B)
1 done
clear
C)
x done
clear
D)
None of these done
clear
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question_answer5)
In a Boolean Algebra B, for all x in B, \[x\vee 1=\]
A)
0 done
clear
B)
1 done
clear
C)
x done
clear
D)
None of these done
clear
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question_answer6)
In a Boolean Algebra B, for all x, y in B, \[x\vee (x\wedge y)=\]
A)
y done
clear
B)
x done
clear
C)
1 done
clear
D)
0 done
clear
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question_answer7)
In a Boolean Algebra B, for all x, y in B, \[x\wedge (x\vee y)=\]
A)
y done
clear
B)
x done
clear
C)
1 done
clear
D)
0 done
clear
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question_answer8)
In a Boolean Algebra B, for all x in \[B,({x}'{)}'=\]
A)
\[{x}'\] done
clear
B)
x done
clear
C)
1 done
clear
D)
0 done
clear
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question_answer9)
In a Boolean Algebra B, for all x, y in B,\[(x\vee y{)}'=\]
A)
\[{x}'\vee {y}'\] done
clear
B)
\[{x}'\wedge {y}'\] done
clear
C)
1 done
clear
D)
None of these done
clear
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question_answer10)
In a Boolean Algebra B, for all x, y in \[B,(x\wedge y{)}'=\]
A)
\[{x}'\wedge {y}'\] done
clear
B)
\[{x}'\vee {y}'\] done
clear
C)
1 done
clear
D)
None of these done
clear
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question_answer11)
In a Boolean Algebra B, for all x in B, \[{0}'\] is equal to
A)
0 done
clear
B)
1 done
clear
C)
\[x.0\] done
clear
D)
None of these done
clear
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question_answer12)
In a Boolean Algebra B, for all x in B, \[{1}'=\]
A)
0 done
clear
B)
1 done
clear
C)
\[x\wedge 1\] done
clear
D)
None of these done
clear
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question_answer13)
Dual of \[({x}'\vee {y}'{)}'=x\wedge y\] is
A)
\[({x}'\vee {y}')=x\vee y\] done
clear
B)
\[({x}'\wedge {y}'{)}'=x\vee y\] done
clear
C)
\[({x}'\wedge {y}'{)}'=x\wedge y\] done
clear
D)
None of these done
clear
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question_answer14)
Dual of \[x\vee (y\wedge x)=x\]is
A)
\[x\wedge (y\vee x)=x\] done
clear
B)
\[x\wedge (y\wedge x)=x\] done
clear
C)
\[(x\vee y)\wedge (x\vee x)=x\] done
clear
D)
None of these done
clear
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question_answer15)
Let B={p, q, r, .....} and let two binary operations be denoted by ?Ú' and ?Ù? or ?+? or ?.?, then
A)
\[p\,\vee {p}'=0\] done
clear
B)
\[p\wedge {p}'=1\] done
clear
C)
\[p\vee {p}'=1\] done
clear
D)
None of these done
clear
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question_answer16)
Let B={p, q, r, .....} and let two binary operations be denoted by ?Ú' and ?Ù? or ?+? or ?.?, then
A)
\[p\wedge {p}'=1\] done
clear
B)
\[p\wedge {p}'=0\] done
clear
C)
\[p\vee {p}'=0\] done
clear
D)
None of these done
clear
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question_answer17)
Let B={p, q, r, .....} and let two binary operations be denoted by ?Ú' and ?Ù? or ?+? or ?.?, then
A)
\[a\vee a=0\] done
clear
B)
\[a\vee a=a\] done
clear
C)
\[a\vee 1=a\] done
clear
D)
None of these done
clear
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question_answer18)
Let B={p, q, r, .....} and let two binary operations be denoted by ?Ú' and ?Ù? or ?+? or ?.?, then
A)
\[a\wedge a=1\,\] done
clear
B)
\[a\wedge a=a\] done
clear
C)
\[a\wedge a=0\] done
clear
D)
None of these done
clear
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question_answer19)
Let B={p, q, r, .....} and let two binary operations be denoted by ?Ú' and ?Ù? or ?+? or ?.?, then
A)
\[a\vee 1=a\] done
clear
B)
\[a\vee 1=1\] done
clear
C)
\[a\vee 1=0\] done
clear
D)
None of these done
clear
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question_answer20)
Let B={p, q, r, .....} and let two binary operations be denoted by ?Ú' and ?Ù? or ?+? or ?.?, then
A)
\[a\vee {a}'=0\] done
clear
B)
\[a\vee {a}'=1\] done
clear
C)
\[a\vee {a}'=a\] done
clear
D)
None of these done
clear
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question_answer21)
Let B={p, q, r, .....} and let two binary operations be denoted by ?Ú' and ?Ù? or ?+? or ?.?, then
A)
\[a\wedge {a}'=1\] done
clear
B)
\[a\wedge {a}'=0\] done
clear
C)
\[a\wedge {a}'=a\] done
clear
D)
None of these done
clear
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question_answer22)
Let B={p, q, r, .....} and let two binary operations be denoted by ?Ú' and ?Ù? or ?+? or ?.?, then
A)
\[{0}'=0\] done
clear
B)
\[{0}'=1\] done
clear
C)
\[{1}'=1\] done
clear
D)
None of these done
clear
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question_answer23)
Let B={p, q, r, .....} and let two binary operations be denoted by ?Ú' and ?Ù? or ?+? or ?.?, then
A)
\[(a\vee b{)}'={a}'\vee {b}'\] done
clear
B)
\[(a\vee b{)}'={a}'\wedge {b}'\] done
clear
C)
\[(a\vee b{)}'\vee a\vee b\] done
clear
D)
None of these done
clear
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question_answer24)
Let B={p, q, r, .....} and let two binary operations be denoted by ?Ú' and ?Ù? or ?+? or ?.?, then
A)
\[(a\wedge b{)}'={a}'\vee {b}'\] done
clear
B)
\[(a\wedge b{)}'={a}'\wedge {b}'\] done
clear
C)
\[(a\wedge b{)}'=a\vee b\] done
clear
D)
None of these done
clear
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question_answer25)
Let B={p, q, r, .....} and let two binary operations be denoted by ?Ú' and ?Ù? or ?+? or ?.?, then
A)
\[a\vee (a\wedge b)=a\] done
clear
B)
\[a\vee (a\wedge b)=b\] done
clear
C)
\[a\vee (a\wedge b)=a\vee b\] done
clear
D)
None of these done
clear
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question_answer26)
Let B={p, q, r, .....} and let two binary operations be denoted by ?Ú' and ?Ù? or ?+? or ?.?, then
A)
\[a\wedge (a\vee b)=b\] done
clear
B)
\[a\wedge (a\vee b)=a\] done
clear
C)
\[a\wedge (a\vee b)=0\] done
clear
D)
None of these done
clear
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question_answer27)
Let B={p, q, r, .....} and let two binary operations be denoted by ?Ú' and ?Ù? or ?+? or ?.?, then
A)
\[x\vee {x}'\,x={x}'\] done
clear
B)
\[x\vee {x}'\,x=x\] done
clear
C)
\[x\vee {x}'\,x=1\] done
clear
D)
None of these done
clear
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question_answer28)
Let B={p, q, r, .....} and let two binary operations be denoted by ?Ú' and ?Ù? or ?+? or ?.?, then
A)
\[x\vee {x}'y=x\] done
clear
B)
\[x\vee {x}'y=y\] done
clear
C)
\[x\vee {x}'y=x\vee y\] done
clear
D)
None of these done
clear
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question_answer29)
Let B={p, q, r, .....} and let two binary operations be denoted by ?Ú' and ?Ù? or ?+? or ?.?, then
A)
\[x\wedge (x\vee y)=x\] done
clear
B)
\[x\wedge (x\vee y)=y\] done
clear
C)
\[x\wedge (x\vee y)=1\] done
clear
D)
None of these done
clear
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question_answer30)
An OR gate is the Boolean function defined of
A)
\[f({{x}_{1}},\,{{x}_{2}})={{x}_{1}}\wedge {{x}_{2}};\,\,{{x}_{1}},\,{{x}_{2}}\,\in \,\{0,\,1\}\] done
clear
B)
\[f({{x}_{1}},\,{{x}_{2}})={{x}_{1}}\vee {{x}_{2}};\,\,{{x}_{1}},\,{{x}_{2}}\,\in \,\{0,\,1\}\] done
clear
C)
\[f({{x}_{1}},\,{{x}_{2}})={{x}_{1}};\ \,{{x}_{1}},{{x}_{2}}\,\in \,\{0,\,1\}\] done
clear
D)
\[f({{x}_{1}},\,{{x}_{2}})={{x}_{2}};\ \,{{x}_{1}},\,{{x}_{2}}\,\in \,\{0,\,1\}\] done
clear
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question_answer31)
A NOT gate is the Boolean function defined by
A)
\[f(x)=x,\,\,x\in \{0,\,1\}\] done
clear
B)
\[f(x)={x}',\,\,x\in \{0,\,1\}\] done
clear
C)
\[f(x)=x+{x}',\,\,x\in \{0,\,1\}\] done
clear
D)
None of these done
clear
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