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COA/Phase 7 · Integration & Final Testrule sheet · 3 practice sets · drill · final test

Answer key 7.4-key · Item 87 of 87

Final Test — Answer Key🛑Stop here until you have finished the 90-minute final test.🔑 Open the full answer keyQ1 Answer: (B)1 markSeparate instruction and data memories.(A) is wrong: One shared memory.(C) is wrong: Refers to operand style.(D) is wrong: Refers to operand style.Re-read: Lesson 0.1.1 — What a computer is: CPU, memory, I/O, buses; the stored-program idea; fetch–decode–executeQ2 Answer: 271 mark2⁷ × 2²⁰.Re-read: Lesson 0.2.1 — Binary and hex, powers of two, size units, log₂: n bits name 2ⁿ thingsQ3 Answer: (C)1 markBig-endian: 100 A1, 101 B2, 102 C3, 103 D4.(A) is wrong: Address 103.(B) is wrong: Address 100.(D) is wrong: Address 101.Re-read: Lesson 0.2.4 — Memory as an array: address, word, byte vs word addressing, endianness, alignmentQ4 Answer: 101 markOpcode 7, registers 15: 32 − 22.Re-read: Lesson 1.1.1 — Instruction = opcode + operands; instruction formats; the instruction cycleQ5 Answer: (B)1 markThe operand's address is itself in memory.(A) is wrong: That needs p in a register.(C) is wrong: For code-relative addresses.(D) is wrong: Not a constant.Re-read: Lesson 1.2.3 — Choosing modes: arrays, pointers, constants, relocatable code; memory references per modeQ6 Answer: 41 mark⌈log₂ 14⌉.Re-read: Lesson 2.1.1 — Building an ALU: 1-bit slice, n-bit ALU, subtraction, flags Z N C VQ7 Answer: (D)1 markMAR drives the address bus.(A) is wrong: Its value is copied into MAR.(B) is wrong: Holds the instruction.(C) is wrong: Holds data.Re-read: Lesson 2.2.1 — CPU registers and register transfer notation: PC, IR, MAR, MDR, GPRs, flags, SPQ8 Answer: (B)1 markA control-memory read per step; changes are microcode edits.(A) is wrong: That describes hardwired.(C) is wrong: Easier to modify.(D) is wrong: Not faster.Re-read: Lesson 3.2.3 — Microprogram sequencing: next-address field, conditional branches; hardwired vs microprogrammedQ9 Answer: 0.971 mark9700 / 10000.Re-read: Lesson 4.1.1 — Why a hierarchy: speed, cost, size; locality; hit, miss, hit ratioQ10 Answer: (B)1 markOne transistor and a capacitor per bit.(A) is wrong: SRAM is faster.(C) is wrong: Both are volatile.(D) is wrong: DRAM needs refresh.Re-read: Lesson 4.1.3 — Memory chips: SRAM vs DRAM, ROM types, DRAM refresh; chip organisation 2ᵏ × nQ11 Answer: 31 markOffset 5 bits, line 4 bits: (0x5A7C >> 5) mod 16 = 723 mod 16 = 3.Re-read: Lesson 4.2.1 — Cache lines and blocks; direct mapping: tag, line, offsetQ12 Answer: (B) (C) (D)1 markWrite-through writes memory on every hit.(A) is wrong: That is write-through.Re-read: Lesson 4.3.1 — Write policies: write-through vs write-back, dirty bit, write-allocateQ13 Answer: 1051 mark6 + 99.Re-read: Lesson 5.1.1 — The pipeline idea: stages, latches, cycle time, k + n − 1 cyclesQ14 Answer: (B) (D)1 markI2 reads R1 (RAW) and writes R1 (WAW).(A) is wrong: I1 does not read R1.(C) is wrong: I2 does not read R2.Re-read: Lesson 5.2.2 — Data dependences: RAW, WAR, WAW; finding them in codeQ15 Answer: (C)1 markOne bus cycle stolen per word.(A) is wrong: Transparent mode.(B) is wrong: Programmed I/O.(D) is wrong: Burst mode.Re-read: Lesson 6.2.3 — DMA: the controller, burst mode, cycle stealing, transparent mode; CPU time lostQ16 Answer: 32 marksCPI = 0.5 + 0.9 + 0.4 = 1.8; 2×10⁹ × 1.8 / 1.2×10⁹ = 3.Re-read: Lesson 0.1.2 — Performance: clock, cycle time, CPI, execution time, MIPS, speedup, Amdahl's lawQ17 Answer: 2242 marks65,536 − 49,152 − 12,800 = 3,584; ÷ 16 = 224.Re-read: Lesson 1.1.4 — Instruction encoding: opcode space, register fields, expanding opcodesQ18 Answer: 1232 marks2 + 30 × 4 + 1.Re-read: Lesson 1.3.1 — Tracing programs: registers, memory and flags; counting memory references and cyclesQ19 Answer: 52 marksAppend 0: 1001 1001 0. Pairs from the right: 10 (−1), 01 (+1), 00, 10 (−1), 11, 01 (+1), 00, 10 (−1). Recoded −1 0 +1 0 −1 0 +1 −1 = −128 + 32 − 8 + 2 − 1 = −103 ✓: 2 additions + 3 subtractions = 5.Re-read: Lesson 2.1.3 — Multiplication: shift-and-add, Booth's algorithm; restoring divisionQ20 Answer: 172 marks7 + 6 + 4.Re-read: Lesson 2.2.2 — Single-bus datapath: control signals and micro-operation steps for fetch and executeQ21 Answer: 262 marks3 + 4 + 4 + 2 = 13; + 3 + 10.Re-read: Lesson 3.2.3 — Microprogram sequencing: next-address field, conditional branches; hardwired vs microprogrammedQ22 Answer: 4.452 marks1 + 0.1 × (12 + 0.15 × 150) = 1 + 0.1 × 34.5.Re-read: Lesson 4.1.2 — Average memory access time: hierarchical vs simultaneous access; multi-level formulasQ23 Answer: 162 marks(1M/128K) × (8/4) = 8 × 2.Re-read: Lesson 4.1.4 — Memory interfacing: building larger memories from chips, address decoding, chip countsQ24 Answer: 819202 marksLines 4,096; sets 1,024 → 10; offset 6; tag 16; per line 20.Re-read: Lesson 4.2.3 — Tag directory size and cache hardware: valid, dirty and replacement bitsQ25 Answer: 42 marks2 sets; all odd → set 1 (4 ways): 1, 5, 9 M; 1 H; 5 H; 13 M; 1 H; 9 H.Re-read: Lesson 4.2.4 — Tracing references: hits and misses; compulsory, capacity and conflict missesQ26 Answer: 6.32 marksPenalty 80 ns = 160 cycles; 1.1 + 1.3 × 0.025 × 160 = 1.1 + 5.2.Re-read: Lesson 4.3.2 — Miss penalty and block transfer; memory-stall cycles; CPI with cache missesQ27 Answer: 102 marksOne load-use stall (ADD R5 after LOAD R4): 9 + 1.Re-read: Lesson 5.2.3 — Handling data hazards: stalling, operand forwarding, the load-use hazardQ28 Answer: 842 marksτ = 7; executed I1, I2, I3, I7, I8, I9: 12 cycles × 7.Re-read: Lesson 5.2.4 — Control hazards: branch penalty, flushing, prediction, delayed branchQ29 Answer: 163842 marksRows 512 B = 16 blocks apart; 512 lines → a column uses only 32 lines; blocks are evicted before reuse.Re-read: Lesson 4.3.4 — Programs and caches: array layout, loop order, counting missesQ30 Answer: 0.22 marksBlock time 4 ms; CPU 8 µs.Re-read: Lesson 6.2.3 — DMA: the controller, burst mode, cycle stealing, transparent mode; CPU time lost

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🔑Final Test — Answer Key

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Q1 Answer: (B)1 mark

Separate instruction and data memories.

  • (A) is wrong: One shared memory.
  • (C) is wrong: Refers to operand style.
  • (D) is wrong: Refers to operand style.

Re-read: Lesson 0.1.1 — What a computer is: CPU, memory, I/O, buses; the stored-program idea; fetch–decode–execute

Q2 Answer: 271 mark

2⁷ × 2²⁰.

Re-read: Lesson 0.2.1 — Binary and hex, powers of two, size units, log₂: n bits name 2ⁿ things

Q3 Answer: (C)1 mark

Big-endian: 100 A1, 101 B2, 102 C3, 103 D4.

  • (A) is wrong: Address 103.
  • (B) is wrong: Address 100.
  • (D) is wrong: Address 101.

Re-read: Lesson 0.2.4 — Memory as an array: address, word, byte vs word addressing, endianness, alignment

Q4 Answer: 101 mark

Opcode 7, registers 15: 32 − 22.

Re-read: Lesson 1.1.1 — Instruction = opcode + operands; instruction formats; the instruction cycle

Q5 Answer: (B)1 mark

The operand's address is itself in memory.

  • (A) is wrong: That needs p in a register.
  • (C) is wrong: For code-relative addresses.
  • (D) is wrong: Not a constant.

Re-read: Lesson 1.2.3 — Choosing modes: arrays, pointers, constants, relocatable code; memory references per mode

Q6 Answer: 41 mark

⌈log₂ 14⌉.

Re-read: Lesson 2.1.1 — Building an ALU: 1-bit slice, n-bit ALU, subtraction, flags Z N C V

Q7 Answer: (D)1 mark

MAR drives the address bus.

  • (A) is wrong: Its value is copied into MAR.
  • (B) is wrong: Holds the instruction.
  • (C) is wrong: Holds data.

Re-read: Lesson 2.2.1 — CPU registers and register transfer notation: PC, IR, MAR, MDR, GPRs, flags, SP

Q8 Answer: (B)1 mark

A control-memory read per step; changes are microcode edits.

  • (A) is wrong: That describes hardwired.
  • (C) is wrong: Easier to modify.
  • (D) is wrong: Not faster.

Re-read: Lesson 3.2.3 — Microprogram sequencing: next-address field, conditional branches; hardwired vs microprogrammed

Q9 Answer: 0.971 mark

9700 / 10000.

Re-read: Lesson 4.1.1 — Why a hierarchy: speed, cost, size; locality; hit, miss, hit ratio

Q10 Answer: (B)1 mark

One transistor and a capacitor per bit.

  • (A) is wrong: SRAM is faster.
  • (C) is wrong: Both are volatile.
  • (D) is wrong: DRAM needs refresh.

Re-read: Lesson 4.1.3 — Memory chips: SRAM vs DRAM, ROM types, DRAM refresh; chip organisation 2ᵏ × n

Q11 Answer: 31 mark

Offset 5 bits, line 4 bits: (0x5A7C >> 5) mod 16 = 723 mod 16 = 3.

Re-read: Lesson 4.2.1 — Cache lines and blocks; direct mapping: tag, line, offset

Q12 Answer: (B) (C) (D)1 mark

Write-through writes memory on every hit.

  • (A) is wrong: That is write-through.

Re-read: Lesson 4.3.1 — Write policies: write-through vs write-back, dirty bit, write-allocate

Q13 Answer: 1051 mark

6 + 99.

Re-read: Lesson 5.1.1 — The pipeline idea: stages, latches, cycle time, k + n − 1 cycles

Q14 Answer: (B) (D)1 mark

I2 reads R1 (RAW) and writes R1 (WAW).

  • (A) is wrong: I1 does not read R1.
  • (C) is wrong: I2 does not read R2.

Re-read: Lesson 5.2.2 — Data dependences: RAW, WAR, WAW; finding them in code

Q15 Answer: (C)1 mark

One bus cycle stolen per word.

  • (A) is wrong: Transparent mode.
  • (B) is wrong: Programmed I/O.
  • (D) is wrong: Burst mode.

Re-read: Lesson 6.2.3 — DMA: the controller, burst mode, cycle stealing, transparent mode; CPU time lost

Q16 Answer: 32 marks

CPI = 0.5 + 0.9 + 0.4 = 1.8; 2×10⁹ × 1.8 / 1.2×10⁹ = 3.

Re-read: Lesson 0.1.2 — Performance: clock, cycle time, CPI, execution time, MIPS, speedup, Amdahl's law

Q17 Answer: 2242 marks

65,536 − 49,152 − 12,800 = 3,584; ÷ 16 = 224.

Re-read: Lesson 1.1.4 — Instruction encoding: opcode space, register fields, expanding opcodes

Q18 Answer: 1232 marks

2 + 30 × 4 + 1.

Re-read: Lesson 1.3.1 — Tracing programs: registers, memory and flags; counting memory references and cycles

Q19 Answer: 52 marks

Append 0: 1001 1001 0. Pairs from the right: 10 (−1), 01 (+1), 00, 10 (−1), 11, 01 (+1), 00, 10 (−1). Recoded −1 0 +1 0 −1 0 +1 −1 = −128 + 32 − 8 + 2 − 1 = −103 ✓: 2 additions + 3 subtractions = 5.

Re-read: Lesson 2.1.3 — Multiplication: shift-and-add, Booth's algorithm; restoring division

Q20 Answer: 172 marks

7 + 6 + 4.

Re-read: Lesson 2.2.2 — Single-bus datapath: control signals and micro-operation steps for fetch and execute

Q21 Answer: 262 marks

3 + 4 + 4 + 2 = 13; + 3 + 10.

Re-read: Lesson 3.2.3 — Microprogram sequencing: next-address field, conditional branches; hardwired vs microprogrammed

Q22 Answer: 4.452 marks

1 + 0.1 × (12 + 0.15 × 150) = 1 + 0.1 × 34.5.

Re-read: Lesson 4.1.2 — Average memory access time: hierarchical vs simultaneous access; multi-level formulas

Q23 Answer: 162 marks

(1M/128K) × (8/4) = 8 × 2.

Re-read: Lesson 4.1.4 — Memory interfacing: building larger memories from chips, address decoding, chip counts

Q24 Answer: 819202 marks

Lines 4,096; sets 1,024 → 10; offset 6; tag 16; per line 20.

Re-read: Lesson 4.2.3 — Tag directory size and cache hardware: valid, dirty and replacement bits

Q25 Answer: 42 marks

2 sets; all odd → set 1 (4 ways): 1, 5, 9 M; 1 H; 5 H; 13 M; 1 H; 9 H.

Re-read: Lesson 4.2.4 — Tracing references: hits and misses; compulsory, capacity and conflict misses

Q26 Answer: 6.32 marks

Penalty 80 ns = 160 cycles; 1.1 + 1.3 × 0.025 × 160 = 1.1 + 5.2.

Re-read: Lesson 4.3.2 — Miss penalty and block transfer; memory-stall cycles; CPI with cache misses

Q27 Answer: 102 marks

One load-use stall (ADD R5 after LOAD R4): 9 + 1.

Re-read: Lesson 5.2.3 — Handling data hazards: stalling, operand forwarding, the load-use hazard

Q28 Answer: 842 marks

τ = 7; executed I1, I2, I3, I7, I8, I9: 12 cycles × 7.

Re-read: Lesson 5.2.4 — Control hazards: branch penalty, flushing, prediction, delayed branch

Q29 Answer: 163842 marks

Rows 512 B = 16 blocks apart; 512 lines → a column uses only 32 lines; blocks are evicted before reuse.

Re-read: Lesson 4.3.4 — Programs and caches: array layout, loop order, counting misses

Q30 Answer: 0.22 marks

Block time 4 ms; CPU 8 µs.

Re-read: Lesson 6.2.3 — DMA: the controller, burst mode, cycle stealing, transparent mode; CPU time lost

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