Understanding Computer Organization: Accumulator, Addressing, and Instruction Formats, Study Guides, Projects, Research of Design and Analysis of Algorithms

An introduction to the concept of an accumulator (AC) in computers, its operations, and the difference between direct and indirect addressing. It also covers the instruction format and its types, including register-reference and memory-reference instructions. taken from a university course on Basic Computer Organization and Design.

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UNIT-II
Unit 2 Basic Computer Organization and Design
Instruction Code
An instruction code is a group of bits that instruct the computer to perform a specific operation.
Operation Code
The operation code of an instruction is a group of bits that define such operations as add,
subtract, multiply, shift, and complement. The number of bits required for the operation code of
an instruction depends on the total number of operations available in the computer. The
operation code must consist of at least n bits for a given 2n (or less) distinct operations.
Accumulator (AC)
Computers that have a single-processor register usually assign to it the name accumulator (AC)
accumulator and label it AC. The operation is performed with the memory operand and the
content of AC.
Stored Program Organization
The simplest way to organize a computer is to have one processor register and an
instruction code format with two parts.
The first part specifies the operation to be performed and the second specifies an
address.
The memory address tells the control where to find an operand in memory.
This operand is read from memory and used as the data to be operated on together with
the data stored in the processor register.
The following figure 2.1 shows this type of organization.
Figure 2.1: Stored Program Organization
Instructions are stored in one section of memory and data in another.
For a memory unit with 4096 words, we need 12 bits to specify an address since 212 =
4096.
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Instruction Code An instruction code is a group of bits that instruct the computer to perform a specific operation.

Operation Code The operation code of an instruction is a group of bits that define such operations as add, subtract, multiply, shift, and complement. The number of bits required for the operation code of an instruction depends on the total number of operations available in the computer. The operation code must consist of at least n bits for a given 2

n (or less) distinct operations.

Accumulator (AC) Computers that have a single-processor register usually assign to it the name accumulator (AC) accumulator and label it AC. The operation is performed with the memory operand and the content of AC.

Stored Program Organization

 The simplest way to organize a computer is to have one processor register and an

 instruction code format with two parts.  The first part specifies the operation to be performed and the second specifies an

 address.

 ^ The memory address tells the control where to find an operand in memory.  This operand is read from memory and used as the data to be operated on together with

 the data stored in the processor register.  The following figure 2.1 shows this type of organization.

Figure 2.1: Stored Program Organization

^ ^ Instructions are stored in one section of memory and data in another.  For a memory unit with 4096 words, we need 12 bits to specify an address since 2

12

4096.

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 If we store each instruction code in one 16-bit memory word, we have available four bits for operation code (abbreviated opcode) to specify one out of 16 possible operations,

 and 12 bits to specify the address of an operand.

 ^ The control reads a 16-bit instruction from the program portion of memory.  It uses the 12-bit address part of the instruction to read a 16-bit operand from the data

 portion of memory.

 ^ It then executes the operation specified by the operation code.  Computers that have a single-processor register usually assign to it the name

 accumulator and label it AC.  If an operation in an instruction code does not need an operand from memory, the rest

 of the bits in the instruction can be used for other purposes.  For example, operations such as clear AC, complement AC, and increment AC operate on data stored in the AC register. They do not need an operand from memory. For these types of operations, the second part of the instruction code (bits 0 through 11) is not needed for specifying a memory address and can be used to specify other operations for the computer.

Direct and Indirect addressing of basic computer.

 The second part of an instruction format specifies the address of an operand, the

 instruction is said to have a^ direct address .  In Indirect address , the bits in the second part of the instruction designate an address of

 a memory word in which the address of the operand is found.  One bit of the instruction code can be used to distinguish between a direct and an

 indirect address.  It consists of a 3-bit operation code, a 12-bit address, and an indirect address mode bit

 designated by I.  The mode bit is 0 for a direct address and 1 for an indirect address.  A direct address instruction is shown in Figure 2.2. It is placed in address 22 in memory.

 ^ The I bit is 0, so the instruction is recognized as a direct address instruction.  The opcode specifies an ADD instruction, and the address part is the binary equivalent of

 457.  The control finds the operand in memory at address 457 and adds it to the content of

 AC.  The instruction in address 35 shown in Figure 2.3 has a mode bit I = 1, recognized as an

 indirect address instruction.

 ^ The address part is the binary equivalent of 300.  The control goes to address 300 to find the address of the operand. The address of the operand in this case is 1350. The operand found in address 1350 is then added to the content of AC.

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Registers of basic computer

 It is necessary to provide a register in the control unit for storing the instruction code

 after it is read from memory.  The computer needs processor registers for manipulating data and a register for holding

 a memory address.  These requirements dictate the register configuration shown in Figure 2.4.

Figure 2.4: Basic Computer Register and Memory

 ^ The data register (DR) holds the operand read from memory.  The accumulator (AC) register is a general purpose processing register.  The instruction read from memory is placed in the instruction register (IR).  The temporary register (TR) is used for holding temporary data during the processing.

 ^ The memory address register (AR) has 12 bits.  The program counter (PC) also has 12 bits and it holds the address of the next instruction

 to be read from memory after the current instruction is executed.  Instruction words are read and executed in sequence unless a branch instruction is encountered. A branch instruction calls for a transfer to a nonconsecutive instruction in

 the program.  Two registers are used for input and output. The input register (INPR) receives an 8-bit character from an input device. The output register (OUTR) holds an 8-bit character for an output device.

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Register Bits Register Name Function Symbol DR 16 Data register Holds memory operand AR 12 Address register Holds address for memory AC 16 Accumulator Processor register IR 16 Instruction register Holds instruction code PC 12 Program counter Holds address of instruction TR 16 Temporary register Holds temporary data INPR 8 Input register Holds input character OUTR 8 Output register Holds output character Table 2.1: List of Registers for Basic Computer

Common Bus System for basic computer register.

What is the requirement of common bus System?

 ^ The basic computer has eight registers, a memory unit and a control unit.  Paths must be provided to transfer information from one register to another and

 between memory and register.  The number of wires will be excessive if connections are between the outputs of each register and the inputs of the other registers. An efficient scheme for transferring

 information in a system with many register is to use a common bus.  The connection of the registers and memory of the basic computer to a common bus

 system is shown in figure 2.5.  The outputs of seven registers and memory are connected to the common bus. The specific output that is selected for the bus lines at any given time is determined from the

 binary value of the selection variables S2, S1, and S0.  The number along each output shows the decimal equivalent of the required binary

 selection.  The particular register whose LD (load) input is enabled receives the data from the bus during the next clock pulse transition. The memory receives the contents of the bus when its write input is activated. The memory places its 16-bit output onto the bus when the read input is activated and S2 S1 S0 = 1 1 1.  Four registers, DR, AC, IR, and TR have 16 bits each.

 ^ Two registers, AR and PC, have 12 bits each since they hold a memory address.  When the contents of AR or PC are applied to the 16-bit common bus, the four most

 significant bits are set to 0’s. When AR and PC receive^ information from the bus, only the

 12 least significant bits are transferred into the register.  The input register INPR and the output register OUTR have 8 bits each and communicate with the eight least significant bits in the bus. INPR is connected to provide information to the bus but OUTR can only receive information from the bus.

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Instruction Format with its types.

 The basic computer has three instruction code formats, as shown in figure 2.6.

Figure 2.6: Basic computer instruction format

 ^ Each format has 16 bits.  The operation code (opcode) part of the instruction contains three bits and the meaning

 of the remaining 13 bits depends on the operation code encountered.  A memory-reference instruction uses 12 bits to specify an address and one bit to specify

 the addressing mode I. I is equal to 0 for direct address and to 1 for indirect address.  The register reference instructions are recognized by the operation code 111 with a 0 in the leftmost bit (bit 15) of the instruction. A register-reference instruction specifies an operation on or a test of the AC register. An operand from memory is not needed;

 therefore, the other 12 bits are used to specify the operation or test to be executed.  An input-output instruction does not need a reference to memory and is recognized by the operation code 111 with a 1 in the leftmost bit of the instruction. The remaining 12 bits are used to specify the type of input-output operation or test performed.

Control Unit with timing diagram.

 The block diagram of the control unit is shown in figure 2.7.

 ^ Components of Control unit are

  1. Two decoders
  2. A sequence counter
  3. Control logic gates  An instruction read from memory is placed in the instruction register (IR). In control unit the IR is divided into three parts: I bit, the operation code (12-14)bit, and bits 0 through

 11.  The operation code in bits 12 through 14 are decoded with a 3 X 8 decoder.

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Figure 2.7: Control unit of basic computer

 ^ Bit-15 of the instruction is transferred to a flip-flop designated by the symbol I.  The eight outputs of the decoder are designated by the symbols D0 through D7. Bits 0 through 11 are applied to the control logic gates. The 4‐bit sequence counter can count in binary from 0 through 15.The outputs of counter are decoded into 16 timing signals T

 through T^15 .  The sequence counter SC can be incremented or cleared synchronously. Most of the time, the counter is incremented to provide the sequence of timing signals out of 4 X 16 decoder. Once in awhile, the counter is cleared to 0, causing the next timing signal to be

 T0.  As an example, consider the case where SC is incremented to provide timing signals T0, T 1 , T 2 , T 3 and T 4 in sequence. At time T 4 , SC is cleared to 0 if decoder output D3 is active. This is expressed symbolically by the statement D 3 T 4 : SC ← 0 Timing Diagram:

 ^ The timing diagram figure2.8 shows the time relationship of the control signals.  The sequence counter SC responds to the positive transition of the clock.

 ^ Initially, the CLR input of SC is active.  The first positive transition of the clock clears SC to 0, which in turn activates the timing T 0 out of the decoder. T 0 is active during one clock cycle. The positive clock transition

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Instruction cycle

 A program residing in the memory unit of the computer consists of a sequence of instructions. In the basic computer each instruction cycle consists of the following phases:

  1. Fetch an instruction from memory.
  2. Decode the instruction.
  3. Read the effective address from memory if the instruction has an indirect address.
  4. Execute the instruction.  After step 4, the control goes back to step 1 to fetch, decode and execute the nex

 instruction.  This process continues unless a HALT instruction is encountered.

Figure 2.9: Flowchart for instruction cycle (initial configuration)

 The flowchart presents an initial configuration for the instruction cycle and shows how

 the control determines the instruction type after the decoding.  If D7 = 1, the instruction must be register-reference or input-output type. If D7 = 0, the operation code must be one of the other seven values 110, specifying a memory- reference instruction. Control then inspects the value of the first bit of the instruction,

 which now available in flip-flop I.  If D7 = 0 and I = 1, we have a memory-reference instruction with an indirect address. It is

 then necessary to read the effective address from memory.  The three instruction types are subdivided into four separate paths. The selected

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operation is activated with the clock transition associated with timing signal T 3 .This can be symbolized as follows: D’7 I T3: AR

 M [AR] D’7 I’ T3: Nothing D7 I’ T3: Execute a register-reference instruction D7 I T3: Execute an input-output instruction  When a memory-reference instruction with I = 0 is encountered, it is not necessary to do

 anything since the effective address is already in AR.  However, the sequence counter SC must be incremented when D’7 I T3 = 1, so that the

^ execution of the memory-reference instruction can be continued with timing variable T4.  A register-reference or input-output instruction can be executed with the click associated with timing signal T3. After the instruction is executed, SC is cleared to 0 and control returns to the fetch phase with T0 =1. SC is either incremented or cleared to 0 with every positive clock transition.

Register reference instruction.

 ^ When the register-reference instruction is decoded, D7 bit is set to 1.  Each control function needs the Boolean relation D7 I' T3 15 12 11 0 0 1 1 1 Register Operation

 There are 12 register-reference instructions listed below: r: SC 0 Clear SC CLA rB 11 : AC  0 Clear AC CLE rB 10 : E  0 Clear E CMA rB 9 : AC  AC’ Complement AC CME rB 8 : E^ ^ E’^ Complement E CIR rB 7 : AC  shr AC, AC(15)  E, E  AC(0) Circular Right CIL rB 6 : AC  shl AC, AC(0)  E, E  AC(15) Circular Left INC rB 5 : AC  AC + 1 Increment AC SPA rB 4 : if (AC(15) = 0) then (PC  PC+1) Skip if positive SNA rB 3 : if (AC(15) = 1) then (PC^ ^ PC+1^ Skip if negative SZA rB 2 : if (AC = 0) then (PC  PC+1) Skip if AC is zero SZE rB 1 : if (E = 0) then (PC  PC+1) Skip if E is zero HLT rB 0 : S  0 (S is a start-stop flip-flop) Halt computer

 These 12 bits are available in IR (0-11). They were also transferred to AR during time T 2 .

 ^ These instructions are executed at timing cycle T^3 .  The first seven register-reference instructions perform clear, complement, circular shift,

 and increment microoperations on the AC or E registers.  The next four instructions cause a skip of the next instruction in sequence when

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LDA: Load to AC

This instruction transfers the memory word specified by the effective address to AC. D 2 T 4 : DR  M[AR] D 2 T 5 : AC  DR, SC  0

STA: Store AC

This instruction stores the content of AC into the memory word specified by the effective address. D 3 T 4 : M[AR]  AC, SC  0

BUN: Branch Unconditionally

This instruction transfers the program to instruction specified by the effective address. The BUN instruction allows the programmer to specify an instruction out of sequence and the program branches (or jumps) unconditionally. D 4 T 4 : PC  AR, SC  0 BSA: Branch and Save Return Address

This instruction is useful for branching to a portion of the program called a subroutine or procedure. When executed, the BSA instruction stores the address of the next instruction in sequence (which is available in PC) into a memory location specified by the effective address. M[AR]  PC, PC  AR + 1 M[135] 21, PC 135 + 1 = 136

Figure2.10: Example of BSA instruction execution

It is not possible to perform the operation of the BSA instruction in one clock cycle when we use the bus system of the basic computer. To use the memory and the bus properly, the BSA instruction must be executed with a sequence of two microoperations: D 5 T 4 : M[AR]  PC, AR  AR + 1 D 5 T 5 : PC  AR, SC  0 ISZ: Increment and Skip if Zero

These instruction increments the word specified by the effective address, and if the incremented value is equal to 0, PC is incremented by 1. Since it is not possible to

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increment a word inside the memory, it is necessary to read the word into DR, increment DR, and store the word back into memory. D 6 T 4 : DR  M[AR] D 6 T 5 : DR  DR + 1 D 6 T 4 : M[AR]  DR, if (DR = 0) then (PC  PC + 1), SC  0 Control Flowchart

Figure 2.11: Flowchart for memory-reference instructions

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 Once the flag is cleared, new information can be shifted into INPR by striking another key.

The process of outputting information:

 The output register OUTR works similarly but the direction of information flow is

 reversed.  Initially, the output flag FGO is set to 1. The computer checks the flag bit; if it is 1, the information from AC is transferred in parallel to OUTR and FGO is cleared to 0. The output device accepts the coded information, prints the corresponding character, and

 when the operation is completed, it sets FGO to 1.  The computer does not load a new character into OUTR when FGO is 0 because this condition indicates that the output device is in the process of printing the character.

Input-Output instructions

 Input and output instructions are needed for transferring information to and from AC

 register, for checking the flag bits, and for controlling the interrupt facility.  Input-output instructions have an operation code 1111 and are recognized by the control

 when D7 = 1 and I = 1.

 ^ The remaining bits of the instruction specify the particular operation.  The control functions and microoperations for the input-output instructions are listed below. INP AC(0-7)  INPR, FGI  0 Input char. to AC OUT OUTR  AC(0-7), FGO  0 Output char. from AC SKI if(FGI = 1) then (PC  PC + 1) Skip on input flag SKO if(FGO = 1) then (PC  PC + 1) Skip on output flag ION IEN  1 Interrupt enable on IOF IEN  0 Interrupt enable off Table 2.2: Input Output Instructions  The INP instruction transfers the input information from INPR into the eight low-order

 bits of AC and also clears the input flag to 0.  The OUT instruction transfers the eight least significant bits of AC into the output

 register OUTR and clears the output flag to 0.  The next two instructions in Table 2.2 check the status of the flags and cause a skip of

 the next instruction if the flag is 1.  The instruction that is skipped will normally be a branch instruction to return and check

 the flag again.  The branch instruction is not skipped if the flag is 0. If the flag is 1, the branch instruction

 is skipped and an input or output instruction is executed.  The last two instructions set and clear an interrupt enable flip-flop IEN. The purpose of IEN is explained in conjunction with the interrupt operation.

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Interrupt Cycle

The way that the interrupt is handled by the computer can be explained by means of the

 flowchart shown in figure 2.13.  An interrupt flip-flop R is included in the computer.  When R = 0, the computer goes through an instruction cycle.

 ^ During the execute phase of the instruction cycle IEN is checked by the control.  If it is 0, it indicates that the programmer does not want to use the interrupt, so control

 continues with the next instruction cycle.

 ^ If IEN is 1, control checks the flag bits.  If both flags are 0, it indicates that neither the input nor the output registers are ready

 for transfer of information.  In this case, control continues with the next instruction cycle. If either flag is set to 1

 while IEN = 1, flip-flop R is set to 1.  At the end of the execute phase, control checks the value of R, and if it is equal to 1, it goes to an interrupt cycle instead of an instruction cycle.

Figure 2.13: Flowchart for interrupt cycle

Interrupt Cycle

 The interrupt cycle is a hardware implementation of a branch and save return address

 operation.  The return address available in PC is stored in a specific location where it can be found later when the program returns to the instruction at which it was interrupted. This location may be a processor register, a memory stack, or a specific memory location.  Here we choose the memory location at address 0 as the place for storing the return

Swati Sharma , CE Department | 2140707 – Computer Organization

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Register transfer statements for the interrupt cycle

 The flip-flop is set to 1 if IEN = 1 and either FGI or FGO are equal to 1. This can happen

 with any clock transition except when timing signals T^0 , T^1 or T^2 are active.  The condition for setting flip-flop R= 1 can be expressed with the following register transfer statement: T 0 T 1 T 2  (IEN) (FGI + FGO): R  1  The symbol + between FGI and FGO in the control function designates a logic OR

 operation. This is AND with IEN and T^0 T^1 ^ T^2 .  The fetch and decode phases of the instruction cycle must be modified and Replace T 0 ,

 T^1 , T^2 with R'T^0 , R'T^1 , R'T^2   Therefore the interrupt cycle statements are :

 RT^0 : AR^ ^ 0, TR^ ^ PC RT 1 : M[AR]  TR, PC  0 

 RT^2 :^ PC^ ^ PC + 1, IEN^ ^ 0, R^ ^ 0, SC^ ^0   During the first timing signal AR is cleared to 0, and the content of PC is transferred to

 the temporary register TR.  With the second timing signal, the return address is stored in memory at location 0 and

 PC is cleared to 0.  The third timing signal increments PC to 1, clears IEN and R, and control goes back to T 0

 by clearing SC to 0.  The beginning of the next instruction cycle has the condition RT 0 and the content of PC is equal to 1. The control then goes through an instruction cycle that fetches and executes the BUN instruction in location 1.

Flow chart for computer operation.

 The final flowchart of the instruction cycle, including the interrupt cycle for the basic

 computer, is shown in Figure 2.15.  The interrupt flip-flop R may be set at any time during the indirect or execute phases.

 ^ The control returns to timing signal T^0 after SC is cleared to 0.  If R = 1, the computer goes through an interrupt cycle. If R = 0, the computer goes

 through an instruction cycle.  If the instruction is one of the memory-reference instructions, the computer first checks if there is an indirect address and then continues to execute the decoded instruction

 according to the flowchart.  If the instruction is one of the register-reference instructions, it is executed with one of

 the microoperations register reference.  If it is an input-output instruction, it is executed with one of the microoperation’s input- output reference.

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Figure 2.15: Flowchart for computer operation

REFERENCE :

1. COMPUTER SYSTEM ARCHITECTURE, MORRIS M. MANO, 3 RD EDITION, PRENTICE HALL INDIA.