ICT104 Design And Build A Computer System Homework 1 Answer

Answer :

Q1 Computer Systems

Here is the bill of the provided specifications and limitation – 

a. For this scenario, we need a personal computer which have quad core processor, onboard graphic card. We have max budget of $1000 for this. 

The above listed products are chosen to build the required desktop computer that will budget of $934.72. we have search compatible product from different vendors, based on our need for the system. The selected CPU, motherboard, memory and other essential system parts are compared with other similar products in that range. The selected products are then chosen based on their advantages over it, in terms of speed, compatibility and support capability. Here we also consider budget while choosing the products. So that we can purchase other required accessories like UPS. 

Here is the comparison of the two products, including the one we selected, can be seen at [1] [2] – 

 b. For this scenario, we need a gaming desktop which need an 8GB CUDA graphics card and have max budget of $2500. 

The above listed products are chosen to build the required gaming desktop that will budget of $2476.78. we have search compatible product from different vendors, based on our need for the system. The selected CPU, motherboard, memory and other essential system parts are compared with other similar products in that range. The selected products are then chosen based on their advantages over it, in terms of speed, compatibility and support capability. Here we also consider budget while choosing the products. So that we can purchase other required accessories like UPS, headphone and two network adaptors (wired and wireless). 

Here is the comparison of the two products, including the one we selected, can be seen at [3] [4] – 

 Q2

Can be seen at [5]

Q3 Introduction – in this short report, we are going to discuss about the GPU or graphical processing unit. This discussion is basically depending up on the clock speed and memory capacity which are the two most important part of a GPU, as stated in the question. Memory capacity is the volatile space which is used by the graphical unit and the clock speed will determine the frequency of data in and out into the GPU. 

Detailed discussion – the graphical processing unit is one of the parallel units of a processor which helps in enhancing graphics of a system and it also helps the CPU in other computational tasks to increases its performance. Use of a GPU unit will boost the overall speed and graphics of a system. While the memory capacity and clock speed will control the performance of a GPU. The clock speed will determine the speed of both processor and memory. Enhancing the memory capacity will also increase the capacity to handle more processes by the memory unit. It also helps in enhancing the performance of the GPU. That means higher the clock speed is equal to higher the processes done per second. Both memory and good clock speed is needed for this purpose. Not the single part will enhance the performance of a GPU but limiting their capacity, of both memory and clock speed, will reduce overall system performance. So, it can be said that increasing he capacity of memory and clock speed will enhance the performance of the GPU as much operations can now be handled by the graphical unit in a frame, can be seen at [6] [7]. 

Other GPU performance parameters – besides the memory and clock speed, there are some more parameters which will enhance the performance of the graphical unit or GPU. The number of cores of the GPU processor is primarily responsible for it. As the increased number of cores will also increase the processing capabilities of the GPU. The size of a memory bus will also enhance the data carrying capacity of it will directly increase its performance. The RAM-DAC unit is further an important component which determine the speed and performance of a graphical unit (GPU) [7].

Conclusion – after this detailed discussion, we can say that increasing the clock speed and memory capacity will directly increase the speed and performance of a GPU. More memory power will offer more data carrying capability while enhancing the clock speed will increase the power and capabilities of the data carrying speed per second. There are some other parameters also which will determine the speed of the GPU unit such as memory bus, RANDAC unit or the number of processor cores. 

Q4  Hexadecimal notation – this notation method uses ten digits from 0 to 9 and six characters from A to F. Combinedly a hexadecimal notation contains 16 values where each hex digit will be represented by four binary digits. These hex values are based on base 16. That means there are a total of 16 number of possible digits in a hexadecimal notation system. Every hex number is represented by the power of 16. This number system is usually used in microprocessors, programming and to describe colours for a web page. The colour of a web page will be defined by two hex digits where we can derive more than sixteen million colour combinations. This hexadecimal number also uses in locating memory blocks which uses less memory space to contain an address, as an advantage. This number system is also used in machine learning, artificial intelligence and many other fields of data science, can be seen at [8]. 

operations to be performed, conversion method can be seen at [9] – 

1. Conversion of (25.15)₁₀ to binary – 

So, 25₁₀ - 11001₂

And to convert (.15) we have to look for the integer table of decimal number. So, from the decimal integer table, 15₁₀ = 00100110011₂

Hence the 25.15₁₀ = 11001.00100110011₂

2. Conversion of (11111011.1011)₂ to decimal – 

11111011.1011₂ = (1 x 2⁷) + (1 x 2⁶) + (1 x 2⁵) + (1 x 2⁴) + (1 x 2³) + (0 x 2²) + (1 x 2¹) + (1 x 2⁰) + (1 x 2 ^-1) + (0 x 2^-2) + (1 x 2^-3) + (1 x 2^-4)

11111011.1011₂ = 128 + 64 + 32 + 16 + 8 + 0 + 2 + 1 + 0.5 + 0 + 0.125 + 0.0625

11111011.1011₂ = 251 + 0.6875

So, 11111011.1011₂ = 251.6875₁₀

3. Convert (35)₁₀ to hexadecimal –

So, 35₁₀ = 23₁₆

4. Convert (54.3)₁₀ to IEEE754 floating point format in hexadecimal format – 

Conversion of the whole number and decimal number separately – 

So, 54₁₀ = 110110₂

So, 3₁₀ = 11₂

The whole converted number will be – 54.3₁₀ = 110110.11₂

Convert it to base 2 scientific notations by moving the dot to 5^th place (2⁵) in left, as = 1.1011011 

Get the exponent by precision – here we add 5 in 166. That will be (166 + 5) = 171

Now convert the exponent to binary, as

So, it will be 171₁₀ = 10101011₂

And to make this number positive number, we need to add a zero sign in front, as 010101011₂

The mantissa of the number will be = 01.010101011 * 2⁵ 

Combining the three parts = 010101011010101011

So, (54.3)₁₀ = 0 10101011 01010101100000000000000 in IEEE 754 format.