Question $76$

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Which output expression might indicate a product$-$of$-$sums circuit construction:

a$.$

X $=($CH$)\text{'}($D $+$ E $+$ F$)$

b$.$

X $=($AC $+$ BD $+$ EF$)\text{'}$

c$.$

X $=($C $+$ D$)($E $+$G$)$

d$.$

X $=$ CG$($DE$)$

Question $77$

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The Boolean function A $+$ BC is reduced form of

a$.$

A$\text{'}$B $+$ AB'C

b$.$

$($A $+$ B$)($A $+$ C$)$

c$.$

$($A $+$ C$)$B

d$.$

AB $+$ BC

Question $78$

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The number of $0\text{'}$s in the output of POS expression $($A$+$C$\text{'})($A$\text{'}+$B$+$C$)($A$\text{'}+$B$\text{'}+$C$\text{'})$ is$?$

a$.$

$4$

b$.$

$3$

c$.$

$6$

d$.$

$5$

Question $79$

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A variable on its own or in its complemented form is known as a $\_\_\_\_\_\_\_\_\_\_$

a$.$

Word

b$.$

Literal

c$.$

Product Term

d$.$

Sum Term

Question $80$

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What are the canonical forms of Boolean Expressions?

a$.$

MAX and MIN

b$.$

SOM and POM

c$.$

NOR and XNOR

d$.$

OR and XOR

Question $81$

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According to the Boolean algebra absorption law, which of the following is correct?

a$.$

x$+$xy$=$x

b$.$

xy$+$y$=$x

c$.$

$($x$+$y$)=$xy

d$.$

x$+$y$=$y

Question $82$

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How many gates would be required to implement the following Boolean expression before simplification? XY $+$ X$($X $+$ Z$)+$ Y$($X $+$ Z$)$

a$.$

$2$

b$.$

$4$

c$.$

$1$

d$.$

$5$

Question $83$

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On subtracting $(010110)2$ from $(1011001)2$ using $2$s complement, we get $\_\_\_\_\_\_\_\_\_\_\_\_$

a$.$

$1100101$

b$.$

$0110110$

c$.$

$1000011$

d$.$

$0111001$

Question $84$

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A Boolean function can be converted from algebraic expressions to a product of max terms by using

a$.$

Canonical Conversion Method

b$.$

Both b and c

c$.$

Truth table

d$.$

graphical representation

Question $85$

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Which of the following is an important feature of the sum$-$of$-$products $($SOP$)$ form of expression?

a$.$

The delay times are greatly reduced over other forms.

b$.$

All logic circuits are reduced to nothing more than simple AND and OR gates.

c$.$

No signal must pass through more than two gates, not including inverters.

d$.$

The maximum number of gates that any signal must pass through is reduced by a factor of two.

Question $86$

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The representation of octal number $(532\mathrm{.}2)8$ in decimal is $\_\_\_\_\_\_\_\_$

a$.$

$(531\mathrm{.}668)10$

b$.$

$(532\mathrm{.}864)10$

c$.$

$(346\mathrm{.}25)10$

d$.$

$(340\mathrm{.}67)10$