Computer Systems Flashcards

1
Q

convert 100110 to decimal
convert 25 to binary

A

38 base10
11001 base 2

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2
Q

convert 11010111 to hexadecimal and explain
convert B4 to deciaml

A

look in groups of 4 so 1101 = 13 = D and 0111 = 7 so D7base16
B = 1011 4 = 0100 so 10110100 base 2

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3
Q

multiply these two binary numbers, v=11010 and w =1011

A

in v, bits d1,d3 and d4 are equal to 1. SO add that number of 0’s to the other number and then add them together.(usually pick the number with less 1s)
vxw = 10110 + 1011000 + 10110000

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4
Q

1s complement and problem with it

A

flip the bits for 1s complement.
problem with this is thier is 2 represetnations of 0
this is solved using 2’s complement where you flip bits and add 1

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5
Q

Von neuman architecture

A

Input –> memory –> output
Control Unit ALU

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6
Q

Normalised representation for r = 12.25
for base 2,base 10 and base 16

A

for b =2
12.25 = 1100.01 to normalise it more decimal point 4 spaces left so the answer is 0.110001 x 2^4

for b = 10
12.25 = 12.25. normalise it move decimal place 2 to left so
0.1225 x 10^2

for b =16
12 = C
0.25–> 0.25 x 16 = 4 so C.4 move decimal one to left so
0.C4 x 16^1

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7
Q

what is decimal number 0,-1 and -16 for an exponent e of 5 bits with bias 16

A

0base10 = 10000 this is as 16 is bias so it = 0
-1 = 01111
-16 = 00000

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8
Q

Endianness
Big - endian
little-endian

A

ways to represent data where a single value needs more than one byte to be stored
Most significant byte first
Least significant byte first

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9
Q

Hamming distance

A

minimum number of symbols that need to be changed when transforming sequence 1 into 2.

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10
Q

Even partiy
odd parity

A

if sum of seven meaningful bits is odd than the parity bit equals 1 so that sum of the bits become even.
If sum of the seven meaningful bits is even than parity bit = 1 so that sum of all bits is odd

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11
Q

hamming distance of v = 11011000 and w = 01011100

A

2

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12
Q

General rule for minimum hamming distance

A

d(c)-1 bits can be detected
(d(c)-1)/2 bits can be corrected.

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13
Q

How would you check for error when transferring message a 1010 to b 1011

A

Use extra parity bit with even parity so
A-10100 and B-10110
We see in b there’s an odd number of 1s so we know something’s wrong

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14
Q

How to decode a message

A

Look at book

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15
Q

Lossless compression

A

Frequently occurring symbols are mapped onto shortest possible encodings and rare symbols mapped onto longer encodings

Repeated occurrence of symbols are replaced by a pointer to their first occurrence

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16
Q

Run length encoding

A

Replace each sequence of a single symbol in the file by just a single occurrence of a symbol and number representing repitions

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17
Q

Use rle on 1111111 000000

A

1[7] 0[6]
Useful for long sequence of repeated symbols

However it needs minimum number of repitions before sequence encoded

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18
Q

Xor gate

A

0110

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19
Q

What do all gates look like

A

XOR —> box with =1 in it
And —>box with & in it
Or —> box with >=1 in it (other greater = sign )
Not—> box with 1 in it and open circle to go out
NAND —> box with & in it and open circle to go out

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20
Q

Half adder, full adder

A

Half adder carries out sum of two inputs and full adder three inputs

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21
Q

output i0 = 10110
i1 = 11100
i2 = 00011
i3 = 10001
selector uses two bits to represent i0 to i3
if selector = 10 whats output

A

ez 00011

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22
Q

Flip flops

A

Devices for storage of 1 bit data

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23
Q

How does SR flip flops work S = set R = reset

A

S= 1 and R = 0 Then output = 1
S= 0 and R = 1 Then output = 0
S = 0 and R = 0 Then output does not change
if s = 1 and R = 1 is illegal state

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24
Q

How to draw it

A

S—>|1 |o ——-|&|o ——- Q
Input of Q’ becomes second input in above nand gate
input of Q becomes second input in below nand gate
R—>|1 |o ——-|&|o ——- Q’

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25
Register
Number of flip flops bundled together that can be accessed in parallel. can contain input output for an adder can store memory address of current instructions.
26
shift register value after shift right and left
shifts content left or right. Each step one bit is lost and 0 bit is inserted. n/2 if right n x2 if left shift
27
race condition how to deal with race condition
gate delays to react on a changed input use a clock as it sets pc to sleep and wake them up again.
28
AIDJ operations
xi = c : assignment c is any natural number xi = x +1 xi = x-1 if xi != 0 then goto Mn ( marker n) example 02
29
make add function with AIDJ
00 x1 = c 01 x2 = d 02 x2 = x2+1 x1 = x1 -1 if x1 != 0 then goto 02
30
CPU-S operations
xn = xn + xm xn = xn - xm xn = xn x xm if xn != 0 then goto line
31
What do each do in CPU-S DP1 DP2 IP IR +1 DR1 IDC SEL
contains memory address for value for Data register 1 contains memory address for value for Data register 2 Register containing address of current instruction Contains current instruction increases content of IP by 1 Contains first operand for additrion
32
Opcode for CPU-S
JUMP - if DR1 != 0 then IP = {addr} LOAD1 - DP1 = {addr} LOAD2 - DP2 = {addr} STORE - Write Acc to data memory using address DP1
33
what is the abstarct programme xn = xn + xm in assebmly language
LOAD1( with addr n) LOAD2 (with addr m) ADD STORE STOP
34
Limits of CPU-S
cannot use the value in ACC as input so have to store results in memory first Supports smaller selection of instructions LOAD1/2 and JUMP contatin address of DM and IM. so the length of the addr limits max size of DM and IM
35
What is clock used for in CPU-S
used to seperate the execution of the instructions from each other Also used to split single instructions into several parts called fetch-executre
36
How does fetch decode execute work
F- Content of IM addressed by IP is fetched into IR D- System decides which register needs new value or which signals needed for IP E - Data registers read thier values from memory and devices of ALU execute their operations. Address of next instruction assigned to IP
37
Graph for input unit and output
input device <---> input module -----> data register output device <------ output module <------ data register
38
CPU-S(I/O) new instructions
Input-S - write content of dR into memory cell Output-S- write content of memory cell addressed by DP1 into DR of output unit
39
take 2 numbers from input . sum and output in CPU-S(I/O)
LOAD1(with= 0) Input-S LOAD1(with=1) Input-S LOAD1(with = 0) LOAD2(with=1) ADD STORE OUTPUT-S STOP
40
problems with CPU-S( I/O)
If size of input is unknown, CPU-S(I/O) cannot easily decide whether input has been completly transferred. Every I/O of ALU must pass through memory. Inneficent and slows down data processing
41
How to amend problems of I/O
replace data registers with buffer memory so I/O devices can read data independently from current state of CPU
42
what is buffer memory
small memory that works in accordance with FIFO principle. Stores data when they become availalbe. Release them when they are needed.
43
benefits of buffer memory
more organised data registers and address registers of I/O unit to Cpu. allowing cpu to directly access content of these registers
44
Execution of input instruction
book
45
uses and limits for Programmed I/O
uses: keyboard input and output to non-graphical display limits: input can only be read if its expected by programme. It is not possible to interrupt programme by external event.
46
why would we want computer to accept unrequested input.
incase of failure of vital system components Attempt of executing illegal instructions
47
Intterupt servicing steps
1. CPU executes programme A 2. if Interrupt recivied, CPU complemets current instruction and then all content of registers in CPU stored in stack area 3. Interrupt handler will be executed. 4 When completed, original content of registers restored and programme A resumes where it stopped.
48
Benefits of intterupts
Vital for efficeient handling of non-programmed input Polling not required
49
Uses of Intterupts
Completion signals external event notifications Allocation of CPU time
50
Rules for multiple interrupts
Every intterupt given priority 1. Interrupt handler suspends normal programme 2. IH of interrupt 1 suspends IH of interrupt 2 if p(1) > p(2) 3 After completion, next interrupt with highest priority is serviced. if there are several interrupts the n order of occurance decides it.
51
How is DMA executed Used when transferring large blocks of data
Using programmed I/o, CPU initiates DMA and sends parameters to I/O modules. 2. The I/O modules can write/read data into/from memory 3. The i/O module sends an interrupt to CPu as completion signal
52
SRAM VS DRAM
Sram based on flip-flops so content of memory cells stays unchanged unless changed by new input value DRAM store content in capictors. This content fades away with time and needs to be refreshed every few ms In Sram, read/write operations are very fast while in Dram they are slower In SRAM, number of bits that can be stored on a single memory chip is limited. In DRAM, memory capacity per chip is higher SRAM is expensive as it needs 6 or more transisiotrs for storage of 1 bit. DRAM can store one bit with one capacitor and one tranistor so is rather inexpensive.
53
Volatile non volatile
if power is removed, then volatile devices lose their content. SUch as cache memory, RAM. if power is removed. then devices keep their content. flash memory. used for permanenet storage/
54
semi conductor memory mass storage memory gap
Memory built from logic gates/capictors(RAM) devices with mechanically moved parts(hdd) semi conductory memory access time is at least 10 times faster than mass storage devices
55
cache memory adv and dis
can be accessed at speeds close to the CPU because of its location. Allowing for programs to be executed more efficiently Another advantage is lower power consuption as accessing cache memory consumes less power compared to main or secondary storage However, due to gate delays and costs, we cannot operate a large cache memory at clock rate of CPU, therefore size is limited. High cost due to cache being typically made from SRAM which is expensive.
56
Gow to find next instruction in cache memory
1. If instruction are loaded into CPU's registers, the address is first looked up in cache> 2. if not in cache, its looked up in main memory. If found, instructio0n loaded into cache and CPU. 3. If not found in main memory, instructions are loaded for mass storage into cahe and CPU
57
one vital aspect to find instructions in cache memory
physical and logical memory addresses. logical address space divided into same size pages split into page address and offset Physical memory is divided into same size frames consisting of frame address and offset When CPU asks for logical address, it's mapped onto physical address which is the position of the actual requested data
58
second vital aspect to find instructions in cache memory
Loading data from slower to faster memory When CPU request data not contained in cache, then the content of that particular address along with the full page contating that adress is written to next level of memory hiearchy.
59
third vital aspect to find instructions in cache memory
Spatial locality Programmes are organised in a way that often the next address requested by the CPU is very close to the previous one
60
what does memory management unit do
maps logical addresses onto physical addresses. controls process of writing pages into cache if cache or main memory is full, it determines which page is written back to the next slower level of memory hiearchy using FIFO or least frequently used page. controls data integrity and de and encrypts data
61
First classification of buses and advantage
Unidirectional bus - connects two devices with fixed roles.( one device is sender, other device is reciever of data) address bus ad- no agreement necessary between devices about their role Bi directional bus - connects two devices that both can be sender and reciever( data bus and control bus) ad- more flexible regarding number of devices connected
62
Second classification of buses and examples
parallel bus - all data travelling at the same time by using n wires in parallel where n corresponds to length of word being transferred. eg. data bus between CPU and memory, ATA bus Serial bus- transfers a word one bit after another. Word is decombosed by sending device and recomposed by revieveing device USB, S-ATA bus
63
Advantage and disadvantage of Parallel and serial buses
Parallel bus have potetnital of higher data rates as they transfer more than one bit at a time Serial buses faster than parallel buses due to clock rate and distance of parallel data transmission is limited by skew.(bits wont arrive exactly at same time) Parallel buses need more space than serial buses Serial buses preferred for long distance data transfer at high clock rates
64
Third classification
point-to-point buses - can connect exactly two deivices eg buses between ALU and CU, AGP bus multipoint- large number of devices use this single bus as common means of exchanging data. PCI, USB
65
Von neumann bottlenech
all data have to pass the main bus system of computer
66
Synchronous transmission
Sender and reciever have the same clock allowoing a constant stream of data to be transmitted
67
asynchronous transmission and problems it creates
sender and reciver have different clocks p1- the same data are mistakenly read multiple times by reciver if reciver hsa faster clock than sender. p2- some data are missed by reciever, if reciever have slower clock than sender.
68
prevention of asynchronous transmission
stream of data to be transferred, needs to be divided into series of smaller pieces with breaks between transmissions so slower device has time to catch up
69
protocols of handshaking
SIMPLE SEMI FULL
70
How to know which devices allowed to use a bus
Daisy chaining method- All devices attached to bus are sequentially connected by a wire for a signal BAV Device can only use bus if it recieves BAV BAV fed into first device in chain(highest priority) If device recieves BAV and does notGee want to use bus, it forwards bav to next device in chain Polling- Bus controller consecutively generates the device addresses of all devices attached to bus This address is forwarded to all devices If a device recognizes its address and wants to use the bus, it blocks the usage for other devices by sending a busy signal to them Independent request- Each device connceted to bus can send request signal to bus controller to use bus bus contorller ranks all request in accordance with a priority and sends grant signal to selected device. Selected device blocks usage of bus fpr pther devices by sending busy signal to them
71
General purpose computer
A general purpose computer is a computer that, given sufficient time and memory, can solve every problem that, in principle, is solvable by a computer
72
What do we need to do if we want to implement a new instruction EQUIV for CPU-S that tests whether two numbers are identical?
IDC must be modified so that it can decode the new instruction. We need to make sure that the ALU of CPU-S contains a device that can test whether two numbers are identical, Since the instructions of CPU-S have an opcode of 3 bits, we can only encode 2^3 = 8 different instructions. CPU-S already supports 8 instructions, and therefore we have to increase the length of the opcode to 4 bits.
73
List three types of IO and descrribe them
Programmed I/O is always initiated by an instruction and leads to a single word of input from the Input Unit to the CPU or from the CPU to the Output Unit. 2. An interrupt is a non-programmed input of one word into the CPU that leads to a temporary suspension of the programme executed by the CPU and initiates the start of a specific new programme, the so-called interrupt handler. 3. DMA is normally initiated by programmed I/O and leads to a direct transfer of blocks of data from the Input Unit to the Memory Unit or from the Memory Unit to the Output Unit.
74
What connection is there between the length of a memory address and 1. the size of the memory cells in the addressable memory? 2. the number of the memory cells in the addressable memory?
1. None. 2. For a memory address of length n in ℕ, the number of directly addressable memory cells equals 2^n.c