The text is organized into specialized chapters that cover the full spectrum of digital arithmetic:
Section C — Design and analysis (30 marks) 11. (8) Carry-lookahead adder design - For a 16-bit adder using 4-bit carry-lookahead blocks, draw the carry generate/propagate equations and compute worst-case gate-level carry delay assuming: - AND/OR gate delay = 1 unit - XOR delay = 2 units - Give numeric delay to produce final sum bits. 12. (8) Divider hardware cost vs. latency trade-offs - Compare non-restoring, restoring, and SRT division algorithms in terms of hardware complexity (qualitative), per-iteration operations, and latency for an n-bit divider. Provide a small table summarizing complexities for n-bit result. 13. (8) Error analysis for truncated multiplier - For an n×n binary multiplier where only the top k most significant partial-product rows are kept (truncation), derive an upper bound for absolute truncation error as a function of n and k. Provide a numeric example for n=16, k=12. 14. (6) Practical implementation note - Recommend three practical microarchitectural techniques (brief bullet points) from Ercegovac & Lang to improve throughput of a multiply unit in an ASIC implementation, with one sentence justification each. digital arithmetic by ercegovac and lang pdf
The "Digital Arithmetic" PDF is a staple in the "to-be-read" folders of many engineers for several reasons: The text is organized into specialized chapters that