Q$1.$ What is the role of Operating System for the overall working of the Computer system? $[10]$

Q$2.$ What is Cache Memory and why is it so important?$[10]$

Q$3.$ How are processes and threads different? Explain with an example.$[10]$

Module$-2[45$ marks$]$

Q$1.$ Perform the following conversions:$[10]$

a$.$ Decimal number $-91$ to $8$ bit two$$s complement representation

b$.$ Decimal number $-398$ into $16-$bit two's$-$complement representation.

Q$2.[15]$

a$.$ Convert the string $"0$xC$69$A$5"$ into ASCII.

b$.$ What is the string corresponding to the following series of ASCII values:

$0$x$540$x$680$x$690$x$730$x$200$x$690$x$730$x$200$x$410$x$530$x$430$x$490$x$490$x$21$

c$.$ Fill in the table below showing the effects of the different shift operations on single$-$byte quantities. Write each answer as two hexadecimal digits.$[10]$

x x $<<3$ x $>>2$ x $>>2$

$($Logical$)($Arithmetic$)$

$0$xF$0$

$0$x$0$F

$0$xCC

$0$x$55$

Q$3.$ Integer division on most machines is even slower than integer multiplication$$requiring $30$ or more clock cycles. Dividing by a power of two can also be performed using shift operations. Explain how this helps in performing division. Explain with an example. $[10]$

Q$4.$ How is positive and negative infinity represented in the binary number?$[10]$