Tutorial Work

1

1. ${\text{456789A1}}_{16}$

   Location	Value (BE)	Value (LE)
   $010_{16}$	${\text{45}}_{16}$	${\text{A1}}_{16}$
   $011_{16}$	${\text{67}}_{16}$	${\text{89}}_{16}$
   $100_{16}$	${\text{89}}_{16}$	${\text{67}}_{16}$
   $101_{16}$	${\text{A1}}_{16}$	${\text{45}}_{16}$

2. ${\text{0000058}}_{16}$

   Location	Value (BE)	Value (LE)
   $010_{16}$	${\text{00}}_{16}$	${\text{8A}}_{16}$
   $011_{16}$	${\text{00}}_{16}$	${\text{05}}_{16}$
   $100_{16}$	${\text{05}}_{16}$	${\text{00}}_{16}$
   $101_{16}$	${\text{8A}}_{16}$	${\text{00}}_{16}$

title: Correct answers.

2

$$\begin{array}{rl}S& =\frac{NK{t}_p}{(K+N-1)t_p}\\ & =\frac{100\times 5\times 20}{(100+5-1)\times 20}\\ & =\frac{10000}{2080}\\ & =4.8\text{x faster}\end{array}$$

title: Correct answer.

3

Implement $A=(B+C)\times (D+E)$:

0-address

Push B
Push C
Mult
Push D
Push E
Mult
Add
Pop A

1-address

Load B
Mult C
Store Temp
Load D
Mult E
Add Temp
Store A

2-address

Mult B C
Store Temp
Mult D E
Add Temp
Store A

3-address

Mult R1 B C
Mult R2 D E
Add A R1 R2

title: Correct answers.

4

1. $\lceil lo{g}_2(150)\rceil =8$ bits
2. $24-8=16$ bits
3. $2^{16}=65536$ memory locations
4. $2^{24}-1=16777215$

title: Correct answers.