CS 33. Memory Hierarchy I. CS33 Intro to Computer Systems XVI 1 Copyright 2016 Thomas W. Doeppner. All rights reserved.

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1 CS 33 Memory Hierarchy I CS33 Intro to Computer Systems XVI 1 Copyright 2016 Thomas W. Doeppner. All rights reserved.

2 Random-Access Memory (RAM) Key features RAM is traditionally packaged as a chip basic storage unit is normally a cell (one bit per cell) multiple RAM chips form a memory Static RAM (SRAM) each cell stores a bit with a four- or six-transistor circuit retains value indefinitely, as long as it is kept powered relatively insensitive to electrical noise (EMI), radiation, etc. faster and more expensive than DRAM Dynamic RAM (DRAM) each cell stores bit with a capacitor; transistor is used for access value must be refreshed every ms more sensitive to disturbances (EMI, radiation, ) than SRAM slower and cheaper than SRAM CS33 Intro to Computer Systems XVI 2 Copyright 2016 Thomas W. Doeppner. All rights reserved.

3 SRAM vs DRAM Summary Trans. Access Needs Needs per bit time refresh? EDC? Cost Applications SRAM 4 or 6 1X No Maybe 100x Cache memories DRAM 1 10X Yes Yes 1X Main memories, frame buffers EDC = error detection and correction to cope with noise, etc. CS33 Intro to Computer Systems XVI 3 Copyright 2016 Thomas W. Doeppner. All rights reserved.

4 Conventional DRAM Organization d x w DRAM: dw total bits organized as d supercells of size w bits 16 x 8 DRAM chip cols (to/from CPU) Memory controller 2 bits / addr 8 bits / data rows supercell (2,1) Internal row buffer CS33 Intro to Computer Systems XVI 4 Copyright 2016 Thomas W. Doeppner. All rights reserved.

5 Reading DRAM Supercell (2,1) Step 1(a): row access strobe (RAS) selects row 2 Step 1(b): row 2 copied from DRAM array to row buffer 16 x 8 DRAM chip Memory controller RAS = 2 2 / addr Rows Cols / data 3 Internal row buffer CS33 Intro to Computer Systems XVI 5 Copyright 2016 Thomas W. Doeppner. All rights reserved.

6 Reading DRAM Supercell (2,1) Step 2(a): column access strobe (CAS) selects column 1 Step 2(b): supercell (2,1) copied from buffer to data lines, and eventually back to the CPU 16 x 8 DRAM chip To CPU Memory controller CAS = 1 2 / addr Rows Cols supercell (2,1) 8 / data 3 supercell (2,1) Internal row buffer CS33 Intro to Computer Systems XVI 6 Copyright 2016 Thomas W. Doeppner. All rights reserved.

7 Memory Modules addr (row = i, col = j) DRAM 7 DRAM 0 : supercell (i,j) 64 MB memory module consisting of eight 8Mx8 DRAMs bits bits bits bits bits bits bits 8-15 bits bit doubleword at main memory address A Memory controller 64-bit doubleword CS33 Intro to Computer Systems XVI 7 Copyright 2016 Thomas W. Doeppner. All rights reserved.

8 Enhanced DRAMs Basic DRAM cell has not changed since its invention in 1966 commercialized by Intel in 1970 DRAM cores with better interface logic and faster I/O: synchronous DRAM (SDRAM)» uses a conventional clock signal instead of asynchronous control» allows reuse of the row addresses (e.g., RAS, CAS, CAS, CAS) double data-rate synchronous DRAM (DDR SDRAM)» DDR1» DDR2» DDR3 twice as fast four times as fast eight times as fast CS33 Intro to Computer Systems XVI 8 Copyright 2016 Thomas W. Doeppner. All rights reserved.

9 Enhanced DRAMs DRAM Cell Array f SDR: n B/sec DRAM Cell Array I/O Buffer f DDR1: 2n B/sec DRAM Cell Array I/O Buffer 2f DDR2: 4n B/sec DRAM Cell Array I/O Buffer 4f DDR3: 8n B/sec CS33 Intro to Computer Systems XVI 9 Copyright 2016 Thomas W. Doeppner. All rights reserved.

10 Quiz 1 A program is loading randomly selected bytes from memory. These bytes will be delivered to the processor on a DDR3 system n times faster than on an SDR system, where n is: a) 1 b) 2 c) 4 d) 8 CS33 Intro to Computer Systems XVI 10 Copyright 2016 Thomas W. Doeppner. All rights reserved.

11 Nonvolatile Memories DRAM and SRAM are volatile memories lose information if powered off Nonvolatile memories retain value even if powered off read-only memory (ROM): programmed during production programmable ROM (PROM): can be programmed once eraseable PROM (EPROM): can be bulk erased (UV, X-Ray) electrically eraseable PROM (EEPROM): electronic erase capability flash memory: EEPROMs with partial (sector) erase capability» wears out after about 100,000 erasings Uses for nonvolatile memories firmware programs stored in a ROM (BIOS, controllers for disks, network cards, graphics accelerators, security subsystems, ) solid state disks (replace rotating disks in thumb drives, smart phones, mp3 players, tablets, laptops, ) disk caches CS33 Intro to Computer Systems XVI 11 Copyright 2016 Thomas W. Doeppner. All rights reserved.

12 Traditional Bus Structure Connecting CPU and Memory A bus is a collection of parallel wires that carry address, data, and control signals Buses are typically shared by multiple devices CPU chip Register file ALU System bus Memory bus Bus interface I/O bridge Main memory CS33 Intro to Computer Systems XVI 12 Copyright 2016 Thomas W. Doeppner. All rights reserved.

13 Memory Read Transaction (1) CPU places address A on the memory bus Register file Load operation: movl A, %eax %eax ALU Bus interface I/O bridge A Main memory 0 x A CS33 Intro to Computer Systems XVI 13 Copyright 2016 Thomas W. Doeppner. All rights reserved.

14 Memory Read Transaction (2) Main memory reads A from the memory bus, retrieves word x, and places it on the bus Register file Load operation: movl A, %eax %eax ALU I/O bridge Main memory x 0 Bus interface x A CS33 Intro to Computer Systems XVI 14 Copyright 2016 Thomas W. Doeppner. All rights reserved.

15 Memory Read Transaction (3) CPU reads word x from the bus and copies it into register %eax Register file Load operation: movl A, %eax %eax x ALU I/O bridge Main memory 0 Bus interface x A CS33 Intro to Computer Systems XVI 15 Copyright 2016 Thomas W. Doeppner. All rights reserved.

16 Memory Write Transaction (1) CPU places address A on bus. Main memory reads it and waits for the corresponding data word to arrive Register file Store operation: movl %eax, A %eax y ALU Bus interface I/O bridge A Main memory 0 A CS33 Intro to Computer Systems XVI 16 Copyright 2016 Thomas W. Doeppner. All rights reserved.

17 Memory Write Transaction (2) CPU places data word y on the bus Register file Store operation: movl %eax, A %eax y ALU Bus interface I/O bridge y Main memory 0 A CS33 Intro to Computer Systems XVI 17 Copyright 2016 Thomas W. Doeppner. All rights reserved.

18 Memory Write Transaction (3) Main memory reads data word y from the bus and stores it at address A register file Store operation: movl %eax, A %eax y ALU I/O bridge main memory 0 Bus interface y A CS33 Intro to Computer Systems XVI 18 Copyright 2016 Thomas W. Doeppner. All rights reserved.

19 What s Inside A Disk Drive? Arm Spindle Platters Actuator SCSI connector Electronics (including a processor and memory!) Image courtesy of Seagate Technology CS33 Intro to Computer Systems XVI 19 Copyright 2016 Thomas W. Doeppner. All rights reserved.

20 Disk Geometry Disks consist of platters, each with two surfaces Each surface consists of concentric rings called tracks Each track consists of sectors separated by gaps Tracks Surface Track k Gaps Spindle Sectors CS33 Intro to Computer Systems XVI 20 Copyright 2016 Thomas W. Doeppner. All rights reserved.

21 Disk Geometry (Multiple-Platter View) Aligned tracks form a cylinder Cylinder k Surface 0 Surface 1 Surface 2 Surface 3 Surface 4 Surface 5 Platter 0 Platter 1 Platter 2 Spindle CS33 Intro to Computer Systems XVI 21 Copyright 2016 Thomas W. Doeppner. All rights reserved.

22 Disk Capacity Capacity: maximum number of bits that can be stored capacity expressed in units of gigabytes (GB), where 1 GB = 2 30 Bytes 10 9 Bytes Capacity is determined by these technology factors: recording density (bits/in): number of bits that can be squeezed into a 1 inch segment of a track track density (tracks/in): number of tracks that can be squeezed into a 1 inch radial segment areal density (bits/in 2 ): product of recording and track density Modern disks partition tracks into disjoint subsets called recording zones each track in a zone has the same number of sectors, determined by the circumference of innermost track each zone has a different number of sectors/track CS33 Intro to Computer Systems XVI 22 Copyright 2016 Thomas W. Doeppner. All rights reserved.

23 Computing Disk Capacity Capacity = (# bytes/sector) x (avg. # sectors/track) x (# tracks/surface) x (# surfaces/platter) x Example: (# platters/disk) 512 bytes/sector 600 sectors/track (on average) 40,000 tracks/surface 2 surfaces/platter 5 platters/disk Capacity = 512 x 600 x x 2 x 5 = 122,280,000,000 = GB CS33 Intro to Computer Systems XVI 23 Copyright 2016 Thomas W. Doeppner. All rights reserved.

24 Disk Operation (Single-Platter View) The disk surface spins at a fixed rotational rate The read/write head is attached to the end of the arm and flies over the disk surface on a thin cushion of air spindle spindle spindle spindle By moving radially, the arm can position the read/write head over any track CS33 Intro to Computer Systems XVI 24 Copyright 2016 Thomas W. Doeppner. All rights reserved.

25 Disk Operation (Multi-Platter View) Read/write heads move in unison from cylinder to cylinder Arm Spindle CS33 Intro to Computer Systems XVI 25 Copyright 2016 Thomas W. Doeppner. All rights reserved.

26 Disk Structure: Top View of Single Platter Surface organized into tracks Tracks divided into sectors CS33 Intro to Computer Systems XVI 26 Copyright 2016 Thomas W. Doeppner. All rights reserved.

27 Disk Access Head in position above a track CS33 Intro to Computer Systems XVI 27 Copyright 2016 Thomas W. Doeppner. All rights reserved.

28 Disk Access Rotation is counter-clockwise CS33 Intro to Computer Systems XVI 28 Copyright 2016 Thomas W. Doeppner. All rights reserved.

29 Disk Access Read About to read blue sector CS33 Intro to Computer Systems XVI 29 Copyright 2016 Thomas W. Doeppner. All rights reserved.

30 Disk Access Read After BLUE read After reading blue sector CS33 Intro to Computer Systems XVI 30 Copyright 2016 Thomas W. Doeppner. All rights reserved.

31 Disk Access Read After BLUE read Red request scheduled next CS33 Intro to Computer Systems XVI 31 Copyright 2016 Thomas W. Doeppner. All rights reserved.

32 Disk Access Seek After BLUE read Seek for RED Seek to red s track CS33 Intro to Computer Systems XVI 32 Copyright 2016 Thomas W. Doeppner. All rights reserved.

33 Disk Access Rotational Latency After BLUE read Seek for RED Rotational latency Wait for red sector to rotate around CS33 Intro to Computer Systems XVI 33 Copyright 2016 Thomas W. Doeppner. All rights reserved.

34 Disk Access Read After BLUE read Seek for RED Rotational latency After RED read Complete read of red CS33 Intro to Computer Systems XVI 34 Copyright 2016 Thomas W. Doeppner. All rights reserved.

35 Disk Access Service Time Components After BLUE read Seek for RED Rotational latency After RED read Data transfer Seek Rota.onal latency Data transfer CS33 Intro to Computer Systems XVI 35 Copyright 2016 Thomas W. Doeppner. All rights reserved.

36 Disk Access Time Average time to access some target sector approximated by : Taccess = Tavg seek + Tavg rotation + Tavg transfer Seek time (Tavg seek) time to position heads over cylinder containing target sector typical Tavg seek is 3 9 ms Rotational latency (Tavg rotation) time waiting for first bit of target sector to pass under r/w head typical rotation speed R = 7200 RPM Tavg rotation = 1/2 x 1/R x 60 sec/1 min Transfer time (Tavg transfer) time to read the bits in the target sector Tavg transfer = 1/R x 1/(avg # sectors/track) x 60 secs/1 min CS33 Intro to Computer Systems XVI 36 Copyright 2016 Thomas W. Doeppner. All rights reserved.

37 Disk Access Time Example Given: rotational rate = 7,200 RPM average seek time = 9 ms avg # sectors/track = 600 Derived: Tavg rotation = 1/2 x (60 secs/7200 RPM) x 1000 ms/sec = 4 ms Tavg transfer = 60/7200 RPM x 1/600 sects/track x 1000 ms/sec = ms Taccess = 9 ms + 4 ms ms Important points: access time dominated by seek time and rotational latency first bit in a sector is the most expensive, the rest are free SRAM access time is about 4 ns/doubleword, DRAM about 60 ns» disk is about 40,000 times slower than SRAM» 2,500 times slower than DRAM CS33 Intro to Computer Systems XVI 37 Copyright 2016 Thomas W. Doeppner. All rights reserved.

38 Quiz 2 Assuming a 5-inch diameter disk spinning at 10,000 RPM, what is the approximate speed at which the outermost track is moving? a) faster than a speeding bullet (i.e., supersonic) b) roughly the speed of a pretty fast car (250 kph/155 mph) c) roughly the speed of a pretty slow car (50 mph) d) roughly the speed of a world-class marathoner (13.1 mph) CS33 Intro to Computer Systems XVI 38 Copyright 2016 Thomas W. Doeppner. All rights reserved.

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