FMP For More Practice

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1 FP 6.-6 For ore Practice Labeling Pipeline Diagrams with 6.5 [2] < 6.3> To understand how pipeline works, let s consider these five instructions going through the pipeline: lw $, 2($) sub $, $2, $3 and $2, $, $5 or $3, $6, $7 add $, $8, $9 Show the instructions in the pipeline that precede the lw as before <>, before <2>,..., and the instructions after the add as after <>, after <2>,... Figures 6..5 through 6..9 show these instructions proceeding through the nine clock cycles it takes them to complete ex ecution, highlighting what is active in a stage and identifying the instruction associated with each stage during a clock cycle. R eviewing these figures carefully will give you insight into how pipelines work. A few items you may notice: In Figure 6..7 you can see the sequence of the destination numbers from left to right at the bottom of the pipeline s. The numbers advance to the right during each clock cycle, with the E/ pipeline supplying the number of the written during the stage. When a stage is inactive, the values of lines that are deasserted are shown as or ( for don t care). In contrast to C hapter 5, where sequencing of required special hardware, sequencing of is embedded in the pipeline structure itself. First, all instructions take the same number of clock cycles, so there is no special for instruction duration. Second, all information is computed during instruction decode, and then passed along by the pipeline s. Using the same format as Figure 6..5, and starting with the blank pipelining diagram in Figure 6.., draw the pipeline diagrams for the above sequence for a total of clock cycles.

2 For ore Practice FP 6.-7 lw $, 2($) before<> E: before<2> E: before<3> : before<> ID/E E/E E/ E Clock Reg 2 2 Src [5 ] Sign [2 6] Op [5 ] em em emtoreg sub $, $2, $3 lw $, 2($) E: before<> E: before<2> : before<3> lw ID/E E/E E/ E Clock 2 Reg 2 2 [5 ] Sign 2 [2 6] [5 ] $ $ 2 Src Op em em emtoreg FIGURE 6..5 Clock cycles and 2. The phrase before<i> means the ith instruction before lw. The lw instruction in the top path is in the IF stage. At the end of the clock cycle, the lw instruction is in the pipeline s. In the second clock cycle, seen in the bottom path, the lw moves to the ID stage, and sub enters in the IF stage. N ote that the values of the instruction fields and the selected source s are shown in the ID stage. H ence $ and the constant 2, the operands of lw, are written into the ID/E pipeline. The number, representing the destination number of lw, is also placed in ID/E. Bits 5 are, but we use to show that a field plays no role in a given instruction. The top of the ID/E pipeline shows the values for lw to be used in the remaining stages. These values can be read from thelw row of the table in Figure 6.25 on page.

3 FP 6.-8 For ore Practice and $2, $, $5 sub $, $2, $3 E: lw $,... E: before<> : before<2> ID/E E/E E/ E Clock Reg 2 [5 ] [2 6] [5 ] $2 $ $3 2 Sign 2 Src Op em em emtoreg or $3, $6, $7 and $2, $, $5 E: sub $,... E: lw $,... : before<> ID/E E/E E/ and E Clock 5 2 Reg 2 [5 ] [2 6] [5 ] 2 Sign 2 $ $5 $2 $3 Src Op em em emtoreg FIGURE 6..6 Clock cycles 3 and. In the top diagram, lw enters the E stage in the third clock cycle, adding $ and 2 to form the address in the E/E pipeline. (The lw instruction is written lw $,... upon reaching E because the identity of instruction operands is not needed by E or the subsequent stages. In this version of the pipeline, the actions of E, E, and depend only on the instruction and its destination or its target address.) At the same time, sub enters ID, reading s $2 and$3, and the and instruction starts IF. In the fourth clock cycle (bottom path), lw moves into E stage, reading using the value in E/E as the address. In the same clock cycle, the AL U subtracts $3 from $2 and places the difference into E/E, and reads s $ and $5 during ID, and the or instruction enters IF. The two diagrams show the signals being created in the ID stage and peeled off as they are used in subsequent pipe stages.

4 For ore Practice FP 6.-9 add $, $8, $9 or $3, $6, $7 E: and $2,... E: sub $,... : lw $,... ID/E E/E E/ or E Clock Reg 2 [5 ] [2 6] [5 ] $6 $ $7 2 Sign $5 3 2 Src Op em em emtoreg after<> add $, $8, $9 E: or $3,... E: and $2,... : sub $,... ID/E E/E E/ add E Clock Reg 2 [5 ] [2 6] [5 ] 2 Sign $8 $9 $6 $7 Src Op 3 em em emtoreg 2 FIGURE 6..7 Clock cycles 5 and 6. With add, the final instruction in this example, entering IF in the top path, all instructions are engaged. By writing the in E/ into, lw completes; both the and the number are in E/. In the same clock cycle, sub sends the difference in E/E to E/, and the rest of the instructions move forward. In the next clock cycle, sub selects the value in E/ to write to number, again found in E/. The remaining instructions play follow-the-leader: the calculates the OR of $6 and $7 for the or instruction in the E stage, and s $8 and $9 are read in the ID stage for the add instruction. The instructions after add are shown as inactive just to emphasiz e what occurs for the five instructions in the example. The phrase after<i> means the ith instruction after add.

5 FP 6.- For ore Practice after<2> after<> E: add $,... E: or $3,... : and $2,... ID/E E/E E/ E Clock 7 2 Reg 2 2 Src [5 ] Sign [2 6] Op [5 ] $8 $9 em em 3 2 emtoreg after<3> after<2> E: after<> E: and $,... : or $3,... ID/E E/E E/ E Clock 8 3 Reg 2 [5 ] [2 6] [5 ] 2 Sign Src Op em em emtoreg 3 FIGURE 6..8 Clock cycles 7 and 8. In the top path, the add instruction brings up the rear, adding the values corresponding to s $8 and$9 during the E stage. The of the or instruction is passed from E/E to E/ in the E stage, and the stage writes the of the and instruction in E/ to $2. Note that the signals are deasserted (set to ) in the ID stage, since no instruction is being executed. In the following clock cycle (lower drawing), the stage writes the to $3, thereby completing or, and the E stage passes the sum from the add in E/E to E/. The instructions after add are shown as inactive for pedagogical reasons.

6 For ore Practice FP 6.- after<> after<3> E: after<2> E: after<> : add $,... ID/E E/E E/ E Clock 9 Reg 2 [5 ] [2 6] [5 ] 2 Sign Src Op em em emtoreg FIGURE 6..9 Clock cycle 9. The stage writes the sum in E/ into $, completing add and the five-instruction sequence. The instructions after add are shown as inactive for pedagogical reasons.

7 FP 6.-2 For ore Practice E: E: : ID/E E/E E/ E Clock Reg 2 [5 ] [2 6] [5 ] 2 Sign Src Op em em emtoreg FIGURE 6.. A blank single-clock-cycle pipeline diagram with.

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