Digital cirtuitry isused to perform the following operations except? $\_\_\_\_\_\_\_$

a$.$

manage data

b$.$

logic design

c$.$

addition

d$.$

execute programs

Question $47$

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The basic logic gate whose output is the complement of the input is the $\_\_\_\_\_\_\_\_\_\_\_$

a$.$

AND gate

b$.$

INVERTER gate

c$.$

OR gate

d$.$

XOR gate

Question $48$

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On addition of $-46$ and $+28$ using $2$s complement, we get $\_\_\_\_\_\_\_\_\_\_\_\_$

a$.$

$0100101$

b$.$

$-10010$

c$.$

$01011$

d$.$

$-00101$

Question $49$

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Canonical form is a unique way of representing $\_\_\_\_\_\_\_\_\_\_\_\_$

a$.$

POS

b$.$

SOP

c$.$

Boolean Expression

d$.$

Minterm

Question $50$

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$($a$+$b$+$c$)\text{'}$ is equal to

a$.$

a$\text{'}+$b$\text{'}+$c$\text{'}$

b$.$

a$+$b$+$c

c$.$

a'b'c'

d$.$

abc

Question $51$

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The simpification of B$\text{'}($A $+$ A$\text{'}$B$)$ gives

a$.$

A$\text{'}$

b$.$

A$.$B

c$.$

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

d$.$

B$\text{'}$

Question $52$

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

a$.$

$6$

b$.$

$5$

c$.$

$3$

d$.$

$4$

Question $53$

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The boolean function A $+$ BC is a reduced form of $\_\_\_\_\_\_\_\_\_\_\_\_$

a$.$

A$$B $+$ AB$$C

b$.$

AB $+$ BC

c$.$

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

d$.$

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

Question $54$

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The complement of function $($A$+$B$+$C$)\text{'}$ using theorem and laws is

a$.$

A'B'C'

b$.$

A$+$B$+$C

c$.$

$($A$+$B$)\text{'}+$C

d$.$

$($A$\text{'})+$B$+$C

Question $55$

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The octal number $(651\mathrm{.}124)8$ is equivalent to $\_\_\_\_\_\_$

a$.$

$(1$B$0.$B$0)16$

b$.$

$(1$A$8.$A$3)16$

c$.$

$(1$B$0\mathrm{.}10)16$

d$.$

$(1$A$9\mathrm{.}2$A$)16$

Question $56$

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Perform multiplication of the binary numbers: $01001\backslash$times $01011=?$

a$.$

$001100011$

b$.$

$010100110$

c$.$

$101010111$

d$.$

$110011100$

Question $57$

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One of De Morgan's theorems states that $($X $+$ Y$)\text{'}=$ X$\text{'}.$Y$\text{'}$ Simply stated, this means that logically there is no difference between:

a$.$

a NAND and an OR gate with inverted inputs.

b$.$

a NOR and a NAND gate with inverted inputs

c$.$

a NOR and an AND gate with inverted inputs.

d$.$

an AND and a NOR gate with inverted inputs.

Question $58$

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For the SOP expression AB'C $+$A'BC $+$ ABC', how many $1\text{'}$s are in the truth table's output column?

a$.$

$2$

b$.$

$5$

c$.$

$3$

d$.$

$1$

Question $59$

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How many $1\text{'}$s are in the output column for the SOP expression A$.$C$\text{'}+$ A'BC $+$ A'B'C'

a$.$

$3$

b$.$

$2$

c$.$

$5$

d$.$

$4$

Question $60$

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

a$.$

B

b$.$

A $+$ B

c$.$

A

d$.$

AB