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Question $61$

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Which of the following is a Simplification law?

a$.$

M$.($~M$+$N$)=$ M$.$N

b$.$

~$($M$+$N$)=$ ~M$.$~N

c$.$

M$.($N$.$O$)=($M$.$N$).$O

d$.$

M$+($N$.$O$)=($M$+$N$)($M$+$O$)$

Question $62$

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Octal to binary conversion: $(24)8=?$

a$.$

$(010100)2$

b$.$

$(111101)2$

c$.$

$(101010)2$

d$.$

$(111100)2$

Question $63$

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

a$.$

$5$

b$.$

$4$

c$.$

$1$

d$.$

$2$

Question $64$

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A truth table for the SOP expression ABC' $+$AB'C $+$ A'B'C, has how many input combinations?

a$.$

$8$

b$.$

$4$

c$.$

$2$

d$.$

$1$

Question $65$

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The Boolean equation X $=[($A $+$ B$\text{'})($B $+$ C$)]$B can be simplified to:

a$.$

X $=$ A$\text{'}$B

b$.$

X $=$ AB$\text{'}$

c$.$

X $=$ A$\text{'}$B$\text{'}$

d$.$

X $=$ AB

Question $66$

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An important drawback of binary system is $\_\_\_\_\_\_\_\_$

a$.$

It requires small string of $1$s and large string of $0$s to represent a decimal number

b$.$

It requires sparingly small string of $1$s and $0$s to represent a decimal number

c$.$

It requires large string of $1$s and small string of $0$s to represent a decimal number

d$.$

It requires very large string of $1$s and $0$s to represent a decimal number

Question $67$

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What is the addition of the binary numbers $11011011010$ and $010100101?$

a$.$

$11101111111$

b$.$

$0111001000$

c$.$

$1100110110$

d$.$

$10011010011$

Question $68$

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If the decimal number is a fraction then its binary equivalent is obtained by $\_\_\_\_\_\_\_\_$ the number continuously by $2$

a$.$

Subtracting

b$.$

Multiplying

c$.$

Dividing

d$.$

Adding

Question $69$

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Use Boolean algebra to find the most simplified SOP expression for F $=$ ABD $+$ CD $+$ ACD $+$ ABC $+$ ABCD.

a$.$

F $=$ CD $+$ AD

b$.$

F $=$ BC $+$ AB

c$.$

F $=$ AC $+$ AD

d$.$

F $=$ ABD $+$ ABC $+$ CD

Question $70$

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The given hexadecimal number $(1$E$\mathrm{.}53)16$ is equivalent to $\_\_\_\_\_\_\_\_\_\_\_\_$

a$.$

$(34\mathrm{.}340)8$

b$.$

$(36\mathrm{.}246)8$

c$.$

$(35\mathrm{.}684)8$

d$.$

$(35\mathrm{.}599)8$

Question $71$

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The exclusive$-$OR is an

a$.$

prime function

b$.$

undefned function

c$.$

odd function

d$.$

even function

Question $72$

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In Boolean algebra Multiplicative inverse is

a$.$

a

b$.$

$0$

c$.$

$1$

d$.$

$1/$a

Question $73$

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Boolean algebra is also called

a$.$

switching algebra

b$.$

linear algebra

c$.$

algebra

d$.$

arithmetic algebra

Question $74$

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F$($X$,$Y$,$Z$,$M$)=$ X$`$Y$`$Z$`$M$`.$ The degree of the function is $\_\_\_\_\_\_\_\_$

a$.$

$5$

b$.$

$1$

c$.$

$4$

d$.$

$2$

Question $75$

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Maxterms is also called

a$.$

standard division

b$.$

standard sum

c$.$

standard subtraction

d$.$

standard product