Question $5$

Convert the following number from base $2,$ to base $10.$

$1011010$

Make sure to only type out the numbers comprising the answer, no other punctuation is

necessary.

Question $6$

Convert the following number from base $10,$ to base $2.$

$42$

Make sure to only type in the $1s$ and $0s$ comprising the answer, no other punctuation is

necessary.

Question $7$

Convert the following number from base $10,$ to base $2.$

$79$

Make sure to only type in the $1s$ and $0$ s comprising the answer, no other punctuation is

necessary.For problems $1$ and $2,$ select the correct results $(1$ or $0)$ for the given inputs, based on this statementFor problems $1$ and $2,$ select the correct results $(1$ or $0)$ for the given inputs, based on this Use the following circuit diagram for problems $3$ and $4.$

For the following two problems, select the output resulting from the given input.

Question $3$

$A=0$

$B=1$

$C=1$

$0$

$1$

Question $4$

$A=1$

$B=1$

$C=1$

$0$

$1$

For problems $1$ and $2,$ select the correct results $(1$ or $0)$ for the given inputs, based on this

statement:

$($A XOR B$)$ AND $($C XNOR D$)$

Question $1$

$A=0$

$B=1$

$C=0$

$D=0$

$0$

$1$

Question $2$

$A=0$

$B=0$

$C=1$

$D=0$

$0$

$1$

Use the following circuit diagram for problems $3$ and $4.$

For the following two problems, select the output resulting from the given input.

Question $3$

$A=0$

$B=1$

$C=1$

$0$

$1$

Question $4$

$A=1$

$B=1$

$C=1$

$0$

$1$

Question $5$

Convert the following number from base $2,$ to base $10.$

$1011010$

Make sure to only type out the numbers comprising the answer, no other punctuation is

necessary.

Question $6$

Convert the following number from base $10,$ to base $2.$

$42$

Make sure to only type in the $1s$ and $0s$ comprising the answer, no other punctuation is

necessary.

Question $7$

Convert the following number from base $10,$ to base $2.$

$79$

Make sure to only type in the $1s$ and $0$ s comprising the answer, no other punctuation is

necessary.

Question $8$

Add the following UNSIGNED, byte$-$sized $(8$ bits$)$ numbers, and enter the result.

$10010011$

$01101110$

Please pad your answer out to $8$ bits in total. I.E$.,$ if your answer was $\text{'}101\text{'},$ you'd enter

$\text{'}00000101.$

Question $9$

As a byte, POSITIVE $26$ in decimal is represented as:

$00011010$

Represent NEGATIVE $26$ as a signed byte using $2\text{'}$s compliment.

Question $10$

Use the $2\text{'}$s Compliment technique for subtraction to perform the following operation on the

two following signed bytes:

$00010110$

$-00001100$

Make sure to pad your answer out to the full $8$ bits if necessary. For example, if your answer

was $\text{'}10\text{'},$ you'd write it as $\text{'}00000010\text{'}.$

statement:

$($A XOR B$)$ AND $($C XNOR D$)$