Question $1$

$1$

Point

Using K$-$map, simplify the Boolean expression: AB$\text{'}+$CD$\text{'}+$ABCD$+$A'B'C'D

AB$\text{'}+$CD$\text{'}+$AB'D

AB'CD'$+$ABCD$+$CD$\text{'}$

A'B'CD'$+$ABCD$+$CD$\text{'}$

AB'CD'$+$AB'D

Question $2$

$1$

Point

Using K$-$map, simplify the Boolean expression: AB$+$ABC'$+$ABC$+$A'B'C'

AB$\text{'}+$ABC'$+$ABC

A$\text{'}+$BC$\text{'}+$ABC

A'B'C$+$ABC'

AB$+$AB'C'

Question $3$

$1$

Point

What is the Boolean expression for the output of an XOR gate?

A AND B

A NOR B

A OR B

A $$ B

Question $4$

$1$

Point

What is the output of the logical AND gate when both input signals are true?

False

Not Applicable

True

Indeterminate

Question $5$

$1$

Point

What is the standard POS form of the expression: $($A$\text{'}+$BC$)($AB$+$C$)?$

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

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

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

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

Question $6$

$1$

Point

Simplify the expression: $($AB$+$C$)($A$+$C$\text{'})($B$\text{'}$C$)$

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

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

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

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

Question $7$

$1$

Point

Which expression is equivalent to $($A$+$B$)($A$\text{'}$B$+$C$)($A$\text{'}$C$)?$

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

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

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

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

Question $8$

$1$

Point

Write the following function in the standard SOP form:

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

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

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

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

Question $9$

$1$

Point

Convert the given expression into the standard SOP form: $($A$\text{'}+$B$\text{'}$C$)($AB$+$C$)$

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

$($A$\text{'}+$BC$)($A$+$B$+$AC$)$

$($A$\text{'}+$BC$)($AB$+$C$)$

$($A$+$BC$)($AB$+$C$)$

Question $10$

$1$

Point

Simplify the expression: $($AB$+$C$)($A$+$c$\text{'})($B$\text{'}$C$)$

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

$($AB$+$C$)($A$+$c$\text{'})($A$\text{'}$C$)$

$($AB$+$c$\text{'})($A$+$c$\text{'})$

$($AB$+$C$)($A$+$c$\text{'})$