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CSI-2111 Computer Architecture I page 8-1 8. The microprocessor Objective: To know and understand The microprocessor (CPU) A general cycle of instruction RTL: the register transfer language Principal modes of addressing of Motorola MC68000. A real instruction set: MC68000 An example of simulator: TC2111

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8. The microprocessor. Objective: To know and understand The microprocessor ( CPU ) A general cycle of instruction RTL: the register transfer language Principal modes of addressing of Motorola MC68000. A real instruction set: MC68000 An example of simulator: TC2111. - PowerPoint PPT Presentation

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Page 1: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-1

8. The microprocessor

Objective: To know and understand– The microprocessor (CPU)– A general cycle of instruction– RTL: the register transfer language– Principal modes of addressing of

Motorola MC68000.– A real instruction set: MC68000– An example of simulator: TC2111

Page 2: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-2

Organization of Computer

Computer

ROM(Combinational)

RAM(Sequential)

CPUInputs /Outputs

Registers(Sequential)

ALUCounters

(Sequential)

Decoders(Combinational)

Adders(Combinational)

Others...(Combinational)

Page 3: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-3

8.1 The microprocessor

John von Neumann (1903-1957) A brilliant idea… The data AND the programs are

coded in the same way, into binary, in order to be treated automatically by a machine (computer).

Architecture and instruction cycles at the origin of the sequential machines and microprocessors (CPU) of today.

Page 4: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-4

Example of architecture (TC2111)

ALU

MAR

MDR

PC

OpCode OpAddr A

HZNControl

MÉMOIRE

PRINCIPALE

DSRW

ALUstate

Accumulator

Operator

address

Operation code

Mem. Data

Register

Mem. Addr.

Register

Data Size

Read Write

Program Counter

Page 5: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-5

Decoding

Used to differentiate various types of instructions of the CPU

– Arithmetic instructions– Logical instructions– Transfer instructions

– Branch instructions – Control instructions of the processor

Page 6: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-6

Decoding

– The instructions contain fields. Several formats, determined by the fields (codes can coexist in an instruction set). For example:

Format 1

Format 2

Format 3

Format 4

Code

Code Address

Code Data

Code Address 1 Address 2

Page 7: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-7

Decoding - Example

HALT - Stopping of the processor

JUMP - Goes to address $0123 for the next instruction

ADD - Add 1 to the value of the temporary register

MOVE - Move the contents of the memory register $0123 towards the memory register $0200

HLT

JMP $0123

ADD $01

MOVE $0123 $0200

Code

Code Address

Code Data

Code Address 1 Address 2

Page 8: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-8

Instruction CycleExample with TC2111. The microprocessor repeats this cycle forever:

1- Fetch (loading) of the instruction (OpCode)2- Decoding of the instruction3- Fetch of the operands (if necessary) 3.1 If in memory, then go to read them from memory4- Execution of the operation (if necessary)

4.1 If ALU is needed, then carry out it in ALU5- Storage of the results (if necessary)

5.1 If in memory, then go to write them in memory6- Interruption present? (not in TC2111)

6.1 If so, then transfer of control towards the appropriate interruption routine.

Page 9: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-9

Instruction Cycle: Example. Current State

ALU

MAR

MDR

PC=$30

OpCode OpAddr A=$05

HZNControl

MÉMOIRE

PRINCIPALE

DSRW

PC (Program Counter) = $0030, A = $0005

Program

$002E: ...$0030: ADD$0032: $0036$0034: HLT$0036: $0001$0038: ...

Page 10: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-10

Instruction Cycle: Stage 1: Fetch of the instruction

ALU

$0030

PC=$32

OpAddr A=$05

HZNControl

MÉMOIRE

PRINCIPALE

DSRW

$0099

ADD

MDR = $0099 (ADD), OpCode = $0099, PC = $0032Stage 2: Decoding. $0099 = ADD, need for an operand.

MAR = $0030, PC = $0030

Program

$002E: ...$0030: ADD$0032: $0036$0034: HLT$0036: $0001$0038: ...

Page 11: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-11

Instruction Cycle: Stage 3: Fetch of the operand

ALU

$0032

$0036

PC=$34

ADD $0036 A=$05

HZNControl

MÉMOIRE

PRINCIPALE

DSRW

MDR = $0036, OpAddr = $0036, PC = $0034

MAR = $0032, PC = $0032

Program

$002E: ...$0030: ADD$0032: $0036$0034: HLT$0036: $0001$0038: ...

Page 12: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-12

Instruction Cycle: Stage 4: Execution of the instruction

ALU

$0036

$0001

PC=$34

ADD $0036 A=$06

HZNControl

MÉMOIRE

PRINCIPALE

DSRW

MDR = $0001, A = A + MDR = $0006

Fetch the value in ALU. MAR = $0036, A = $0005

Program

$002E: ...$0030: ADD$0032: $0036$0034: HLT$0036: $0001$0038: ...

Page 13: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-13

Instruction Cycle: Stage 5: Storage of the result

ALU

$0036

$0001

PC=$34

ADD $0036 A=$06

HZNControl

MÉMOIRE

PRINCIPALE

DSRW

Pass to the next instruction (start the cycle again !). To store A in memory (addresses $0050), the next instruction should be STA $0050.

The result is already in A. No storage here.

Program

$002E: ...$0030: ADD$0032: $0036$0034: HLT$0036: $0001$0038: ...

Page 14: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-14

ALU

MAR

MDR

PC

OpCode OpAddr A

HZNControl

MÉMOIRE

PRINCIPALE

DSRW

Control unit and status bits

Page 15: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-15

Realization of the control unit

Two ways:– Hardware

Synchronous sequential circuit Powerful Complex and expensive design Difficult to modify

– Microprogramming Design less complex and easier to modify

but less powerful Control memory

Page 16: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-16

Microcoding

CPU

Control unit

Instruction (Machine language)

micro-instructions

microprograms

Page 17: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-17

Register transfer language (RTL)

Allows to describe the microinstructions and their micro-operations.

Example. Addition (ADD) carries out the following functionality:

A := A + MDR(where MDR contains the value to be added)

1) A A + MDR2) N An-1

(where An-1 is the most significant bit of A)

Page 18: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-18

8.2 Addressing Modes

Rules to access the operands– in memory,

– in a register,– in the instruction itself.

Considerations– To increase the flexibility and the facility of

programming– To decrease the length of the generated

code– Successive accesses to the operands (lists…)

Page 19: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-19

Motorola MC68000 - Structure

The MC68000 (Motorola, 1979) is a processor that has:– 8 data registers (D0 with D7) of 32 bits– 8 address registers (A0 with A7) of 32

bits– A PC register (Program Counter)– A status register containing the status

bits such as VCNZX– Several different way of addressing

Page 20: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-20

Motorola MC68000 - Memory

Accessible memory:– 16 MB– Addresses on 24 bits, therefore they go

from $000000 to $FFFFFF.– The data in memory are expressed by

words (2 octets or 1 word).– The length of the data is indicated by the

letters B (1 octet - byte), W (a word of 2 octets - word) and

– L (length-word of 4 octets - long word).

Page 21: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-21

Motorola MC68000 - Memory

$000000

$FFFFFE

$000002

$000004

$FFFFFC

. . .

Octet OctetWord

Long

. . .

word

Word

$00 $FF

$ABCD

$01234567

. . .

$1234

Page 22: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-22Notation RTL for assembler 68000 & description of the modes

Ai Address register (i = 0..7) Di Data Register (i = 0..7) Xi Data or address register (i = 0..7) d8 Signed displacement of 8 bits (-128..127) d16 Signed displacement of 16 bits (-32768…32767) d32 Signed displacement of 32 bits (-2G…2G) ea Actual address (effective address) < > Necessary parameter (often source or

destination) [x] Contents of X [M(x)] Contained memory with address X 10 (10)10

$10 (10)16

%10 (10)2

‘10’ “10”ASCII

Page 23: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-23

Several modes of addressing…

MC68000 (EA = effective address) :– Implicit (particular register (i.e. PC))– Immediate (constant)– Register (register specific)– Direct (explicit EA)– Indirect-memory (EA=[address report ])– Indirect-register (EA = [ register ])– Relative (EA = base register +offset)– Indexed (EA = offset + register index)

Page 24: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-24

Immediate addressing

The operand is a constantNotation: #constant

MOVE.B #$10, D5(D5.B := $10) other bits of D5: unchanged

MOVE.W #1024, D5(D5.W := $0400)

Page 25: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-25

Absolute Address

The operand is [ M(ea) ]Notation: ea

MOVE.B $1000, D5(D5.B := [M($001000)] )

MOVE.L #$1234, $1234( [M($001234)] = $1234 )

Page 26: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-26

Direct addressing by register

ea = Xi and the operand is ea Notation: Ai or Di

MOVE.W A4, D5(D5.W = A4.W)

MOVE.L #$1234, D1(D1 = $0000 1234)

Page 27: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-27

Indirect addressing by register

ea = [Ai] and the operand is [ M(ea) ]Notation: (Ai)

MOVE.B (A4), D5(D5.B = M([A4]) )

MOVE.L #$1234, (A1)(M([A1]) = $0000 1234)

Page 28: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-28

Indirect addressing by register with post-increment

ea = [Ai] and the operand is [ M(ea) ] Notation: (Ai)+– If .B then Ai [Ai] + 1 after the execution of the

instruction– If .W then Ai [Ai] + 2 after the execution of the

instruction– If .L then Ai [Ai] + 4 after the execution of the

instruction

MOVE.B (A0)+, D3 MOVE.W (A4)+, (A5)+ MOVE.L #$1234, (A1)+

Page 29: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-29

Indirect addressing by register with pre-decrement

ea = [Ai] - 1, 2 or 4 The operand is [ M(ea) ] Notation: -(Ai)– If .B then Ai [Ai] - 1 before the execution of the

instruction– If .W then Ai [Ai] - 2 before the execution of the

instruction– If .L then Ai [Ai] - 4 before the execution of the

instruction

MOVE.B -(A0), D3 MOVE.W -(A4), (A5)+ MOVE.L #$1234, -(A1)

Page 30: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-30

Indirect addressing by register with displacement

ea = d16 + [Ai], the operand is [ M(ea) ]Displacement is a 16 bits number in 2CF extended to 32 bits

Notation: d16 (Ai)(where d16 is signed and extended to 32 bits)Ai remains UNCHANGED.

MOVE.L 12(A4), D3 MOVE.B $FFFF(A4), D3

Page 31: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-31Indirect addressing by register with displacement (II)

MOVE.L 12(A4), D3(D3.L := [ M( [A4] + ($0000 000C)16 ) ]because 12 in 16 bits = $000C, and thus its 32 bits representation is $0000 000C.A4 is not modified.

MOVE.B $FFFF(A4), D3(D3.B := [ M( [A4] + ($FFFF FFFF)16 ) ]because $8000 on 16 bits is negative, and thus its 32 bits representation is $$FFFF>FFFF (-1!).

Page 32: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-32

Indirect addressing by register with index

ea = d8 + [Ai] + [Xi] The operand is [ M(ea) ]Displacement is a 8 bits number in 2CF extended to 32 bits

Notation: – d8 (Ai, Xi.W) where Xi.W is signed and

extended to 32 bits, or– d8 (Ai, Xi.L)

Example: MOVE.L 9(A1, D0.W), D3

Page 33: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-33

Indirect addressing by register with index (II)

MOVE.L 9(A1, D0.W), D3[D3] := [ M( [A1] + ($???? [D0.W])

+ ($0000 0009)16 )]where???? is worth 0000 or FFFF according to the sign of D0.W

MOVE.L $FF(A1, D0.W), D3[D3] := [ M( [A1] + ($???? [D0.W])

+ ($FFFF FFFF)16 )]notice that $FFFF FFFF = -1 !!!

Page 34: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-34

Exercises: Addressing modes

Registers ( [Xi] = content ):Memory ( [address] = content ):

[A0] = $0000 2000 [$002000] = $1234[A1] = $0000 2004 [$002002] = $5678[D0] = $1266 6565 [$002004] = $BEAD[D1] = $AAAB B2DD [$002006] = $F00D[D2] = $100A 0005 ...[D3] = $ABCD 573D [$00200C] = $A110

MOVE.? #$20, D0

With .B With .W With .L[D0] =

Page 35: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-35

Exercises: Addressing modes

Registers ( [Xi] = content ): Memory ( [address] = content ):

[A0] = $0000 2000 [$002000] = $1234[A1] = $0000 2004 [$002002] = $5678[D0] = $1266 6565 [$002004] = $BEAD[D1] = $AAAB B2DD [$002006] = $F00D[D2] = $100A 0005 ...[D3] = $ABCD 573D [$00200C] = $A110

MOVE.? #$20, D0

With .B With .W With .L[D0] = $1266 6520 $1266 0020 $0000

0020

Page 36: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-36

Exercises: Addressing modes

MOVEA.? #$20, A1[A1] = Prohibited. $0000 0020 $0000 0020

MOVE.? D0, D1[D0] = $AAAB B265 $AAAB 6565 $1266

6565

MOVEA.? D1, A0[A0] = Prohibited. $FFFF B2DD $AAAB

B2DD

Page 37: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-37

Exercises: Addressing modes

MOVE.? (A0), D3[D3] = $ABCD 5712 $ABCD 1234 $1234

5678

MOVEA.? (A1), A4[A4] = Interdit. $FFFF BEAD $BEAD F00D

MOVE.? D0, (A0)[$002000] = $6534 $6565

$1266[$002002] = $5678 $5678

$6565

Page 38: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-38

Exercises: Addressing modes

MOVE.? $2(A0), D0[D0] = $1266 6556 $1266 5678 $5678 BEAD

MOVE.? (A1)+, D3[D3] = $ABCD 57BE $ABCD BEAD $BEAD F00D [A1] = $0000 2005 $0000 2006 $0000 2008

MOVE.? D3, (A1)+[$002004] = $3DAD $573D $ABCD[$002006] = $F00D $F00D $573D[A1] = $0000 2005 $0000 2006 $0000 2008

Page 39: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-39

Exercises: Addressing modes

MOVE.? -(A1), D3[A1] = $0000 2003 $0000 2002 $0000 2000 [D3] = $ABCD 5778 $ABCD 5678 $1234 5678

MOVE.? D3, -(A1)[A1] = $0000 2003 $0000 2002 $0000 2000 [$002000] = $1234 $1234

$ABCD[$002002] = $563D $573D

$573D

Page 40: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-40

Exercises: Addressing modes

MOVE.? $3(A1, D2.W), D0(suppose [$00200E] = $9876)

ea = $0000 0003 + $0000 2004 + $0000 0005 = $0000 200C

[D0] = $1266 65A1 $1266 A110 $A110 9876

MOVE.? $2000, $2004[$002004] = $12AD $1234

$1234[$002006] = $F00D $F00D

$5678

Page 41: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-41

8.3 Instruction set

Set of instructions in machine language of a processor– Transfer instructions– Arithmetic instructions– Logical instructions– Branch instructions– Control instructions of the processor

Example: MC68000

Page 42: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-42

Transfer instructions

MOVE, MOVEA, LEA, EXG, SWAP.– [D0] = $1234 5678, [A3] = $ABCD

EF90– SWAP Dn: The right word and the left

word of Dn are swapped. SWAP D0 : [D0] = $5678 1234

– EXG Rn,Rn: The contents (long-words, therefore 32 bits) of the two registers are swapped (EXchanGe).

EXG D0, A3 : [D0] = $ABCD EF90 [A3] = $1234 5678

Page 43: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-43

Arithmetic instructions

ADD, SUB, MULU, DIVU, ...– These instructions affect usually the

bits XNZVC register CCR (Condition Codes Register):

X : Extended (often, same result as C) N : Negative Z : Zero V : Overflow C : Carry

Page 44: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-44

Arithmetic instructions - Addition

[D1] = $2233 4455, [D3] = $1234 5678 ADD.B D3, D1

($55 + $78 = $CD)

[D1] = $2233 44CD XNZVC =01010 (Overflow because the sign of the result

(-) is different from that of the operands (+))

Page 45: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-45

Arithmetic instructions - Addition

[D1] = $2233 4455, [D3] = $1234 5678

ADD.W D3, D1[D1] = $2233 9ACD

XNZVC = 01010 (Overflow)

ADD.L D3, D1[D1] = $3467 9ACD

XNZVC = 00000 (No overflow)

Page 46: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-46

Arithmetic instructions - Addition

[D0] = $2C34 C11C, [A0] = $0112 B33C

ADDA.L D0, A0[A0] = $2D47 7458

ADDA.W D0, A0([A0] + $C11C extended ($FFFF C11C))

[A0] = $0112 7458

ADD.W A0, D0[D0] = $2C34 7458

Page 47: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-47

Arithmetic instructions - Addition

Other instruction of addition exist :– ADDI: To add the immediate data– ADDQ: Add Quick, to increment with the 4

bits data– ADDX: To add with extension– ABCD: Addition of BCD numbers

Subtraction: Like the addition, but key word ADD is replaced by SUB– (SUB, SUBA, SUBI, SUBQ, SUBX,

SBCD).

Page 48: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-48

Arithmetic instructions - Multiplication

Only with words of 16 bits.– MULU <ea>,Dn (multiplication unsigned)– MULS <ea>,Dn (multiplication signed)

[D0] = $1234 A678 [D1] = $A012 0002

MULU D0, D1 [D1.L] = [D0.W] x [D1.W] [D1] = $A678 x $0002 = $0001 4CF0

Page 49: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-49

Arithmetic instructions - Multiplication

[D2] = $336B 4105 [D3] = $B11C A024

MULU D2, D3 [D3] = $4105 x $A024 = $28AC 44B4

– X = 0– N = 0– Z = 0– V = 0 (because MULU unsigned).– C = 0

Page 50: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-50

Arithmetic instructions - Division

32 bits / 16 bits = 16 bits, reste 16 bits.– DIVU <ea>,Dn (unsigned division)– DIVS <ea>,Dn (signed division)– There are potential dangers…?

[D2] = $28AC 44B5 [D3] = $1C32 A024 DIVU D3, D2

– MSW([D2.L]) = [D2.L] MOD [D3.W]– LSW([D2.L]) = [D2.L] DIV [D3.W]– [D2] = $0001 4105 (remainder, quotient)

Page 51: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-51

Arithmetic instructions - Comparisons

Certain instructions change only the contents of the register JRC (bits XNZVC). For example:

CMP.size <ea>,Dn Variations:

– CMPA:To compare with the address register

– CMPI:To compare with the immediate data

– CMPM:To compare with the memory

Page 52: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-52

Arithmetic instructions - Comparisons

Suppose [D1] = $ABCD 0005,CMP.W #3,D1

The internal operation carried out is a subtraction (Dn - Source), but the result is dropped.– $0005 - $0003 = $0002– XNZVC = -0000 (X is not affected)

Page 53: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-53

Logical instructions

Basic logical operators– AND, NOT, OR, EOR

Logic shift to-left/to-right– LSL, LSR (Logical Shift Left/Right)– The outgoing bit is lost.

Rotation on the left/on the right– ROL, ROR– The outgoing bit returns to the other end

Zero setting (CLR)

Page 54: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-54

Logic shift (LSL and LSR)

operandoperand 0 0 C C

X X LSL

operandoperand 0 0 C C

X X LSR

Page 55: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-55

Arithmetic shift (ASL and ASR)

operandoperand 0 0 C C

X X ASL

operandoperand C C

X X ASR

The first bit returns on the left, thus preserving the sign.

Page 56: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-56

Logical rotation (ROL and ROR)

operandoperand C C ROL

ROL operandoperand C C

Page 57: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-57

Instructions of control of the processor

STOP– Stopping of the processor

NOP No operation (= time) RESET

– The input RESET is set to 1 for 124 clock ticks

TRAP– Software interruption

Page 58: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-58

Branch instructions

Unconditional:– BRA: Unconditional branch (Long)– JMP: Unconditional jump (Word)– JSR: Jump to a subroutine– RTS: Return from a subroutine

Conditional:– Bcc < relative address or labels>– Branch to the relative address or the

label if condition is true.

Page 59: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-59

RISC versus CISC (I)

Architecture CISC– Access to the memory directly

accessible to the majority of the instructions

– Many modes of addressing (complexes)– Formats of instructions of various

lengths– Many instructions that carry out

basic and complex operations.

Page 60: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-60

RISC versus CISC (II)

RISC Architecture– Restricted access to the memory: load

and store only– Handling of the data:

register to register only– Great number of registers– Format of instructions of the same

length– Fewer instructions that carry out only

the basic operations.

Page 61: 8.  The microprocessor

CSI-2111 Computer Architecture I page 8-61

Additional readings

Toy Computer TC21111 Mano and Kime (optional)

– 7.2 Register Transfer Operations– 7.3 Microoperations– 8.8 Simple Computer Architecture– 9.1 to 9.6, and 9.8– These sections use architectures

different from those seen in class. They thus offer a different point of view.