Problem $$

$3$

:

i

$)$

$$Using $$run

$-$

length $$coding $$compress $$the $$following $$text: $$abbcccddddeeeee

$66666$

$.$

$$Also

find $$the $$compression $$ratio $$considering $$ASCII

$-$

code $$representation$.$

ii

$)$

$$Using $$run

$-$

length $$coding $$convert $$the $$following $$code $$to $$text: $$k

$4$

$.$

$$Also$,$

find $$the $$compression $$ratio$.$

Problem $$

$4$

:

i

$)$

$$Encrypt $$the $$text $$student $$using $$Caesar $$cipher $$with $$

k

$=$

$3$

$$

ii

$)$

$$Decrypt $$the $$text $$

y

$$twtsyt $$using $$Caesar $$cipher $$with $$

k

$=$

$5$

problem $$

$5$

:

Draw $$the $$circuit $$diagrams $$of $$the $$following $$Boolean $$expressions$.$

iii

$)($

AB

$)$

$+$

$$CD

iv

$)$

$$XY

$$

$+$

$($

Y $$

$+$

Z

$)$

Problem $$

$6$

: $$

Derive $$the $$truth $$tables $$of $$the $$following $$Boolean $$expressions$.$

iii

$)($

AB

$)$

$+$

$$CD

iv

$)$

$$XY

$$

$+$

$($

Y $$

$+$

Z

$)$