What is the definition of Boolean functions?

a$.$

An algebraic function with n degrees such that f:Xn$>$X

b$.$

A special mathematical function with n degrees such that f:Yn$>$Y

c$.$

A polynomial function with k degrees such that f:X$2>$Xn

d$.$

An arithmetic function with k degrees such that f:Y$>$Yk

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Determine the binary values of the variables for which the following standard POS expression $($A $+$ B$\text{'}+$ C$)($A$\text{'}+$ B $+$ C$\text{'})$ is equal to $0.$

a$.$

$(1+1+1)(0+0+0)$

b$.$

$(0+0+0)(1+0+1)$

c$.$

$(1+1+0)(1+0+0)$

d$.$

$(0+1+0)(1+0+1)$

Question $3$

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A$($A $+$ B$)=?$

a$.$

$1$

b$.$

A

c$.$

$(1+$ AB$)$

d$.$

AB

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The decimal equivalent of the binary number $(1011\mathrm{.}011)2$ is $\_\_\_\_\_\_\_\_$

a$.$

$(11\mathrm{.}175)10$

b$.$

$(10\mathrm{.}123)10$

c$.$

$(11\mathrm{.}375)10$

d$.$

$(9\mathrm{.}23)10$

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X$*$y $=$ y$*$x is the

a$.$

associative law

b$.$

inverse property

c$.$

commutative law

d$.$

identity element

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How many $1\text{'}$s are in the output SOP expression A$\text{'}+$ AB'C' $+$ ABC'

a$.$

$4$

b$.$

$5$

c$.$

$6$

d$.$

$2$

Question $7$

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To perform product of max terms Boolean function must be brought into

a$.$

NAND terms

b$.$

OR terms

c$.$

NOT terms

d$.$

AND terms

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The expression for Absorption law is given by $\_\_\_\_\_\_\_\_\_$

a$.$

A $+$ B $=$ B $+$ A

b$.$

A $+$ AB $=$ B

c$.$

AB $+$ AA$=$ A

d$.$

A $+$ AB $=$ A

Question $9$

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In Boolean algebra, the OR operation is performed by which of the following properties?

a$.$

identity element

b$.$

commutative properties

c$.$

associative properties

d$.$

distributive properties

Question $10$

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The expression Y$=($A$+$B$)($B$+$C$)($C$+$A$)$ shows the $\_\_\_\_\_\_\_\_\_$ operation.

a$.$

SOP

b$.$

NAND

c$.$

POS

d$.$

AND

Question $11$

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Simplification of the Boolean expression AB $+$ ABC $+$ ABCD $+$ ABCDE $+$ ABCDEF yields which of the following results?

a$.$

A $+$ B$($C$+$D$($E$+$F$))$

b$.$

ABCDEF

c$.$

AB $+$ CD $+$ EF

d$.$

AB

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The number of $1\text{'}$s for the SOP representation output in POS expression $($A$+$C$\text{'})($A$\text{'}+$B$+$C$)($A$\text{'}+$B$\text{'}+$C$\text{'})$ is$?$

a$.$

$5$

b$.$

$4$

c$.$

$6$

d$.$

$3$

Question $13$

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X $+0=0+$ X $=$ X is an example of

a$.$

assocoative property

b$.$

commutative property

c$.$

inverse property

d$.$

Identity element

Question $14$

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The expression $($A$\text{'}+$B$)($A$+$B$\text{'})$ is same as

a$.$

A$\text{'}$B

b$.$

A$\text{'}.$B$\text{'}+$ A$.$B

c$.$

A$.$B $+$ A$.$B$\text{'}$

d$.$

A$\text{'}.$B$\text{'}+$ B

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Minterms is also called

a$.$

standard sum

b$.$

standard product

c$.$

standard division

d$.$

standard subtraction