Opcode width reality check: Do computer manufacturers commonly use only 3-bit codes to represent operations/instructions across their processors?

Difficulty: Easy

Correct Answer: Incorrect — real processors use wider opcodes than 3 bits

Explanation:


Introduction / Context:
An instruction opcode must uniquely identify a processor operation (and often a class of operations). While encodings vary across ISAs, practical opcodes are far wider than 3 bits to support meaningful instruction sets and addressing modes. This question addresses a misconception that “3-bit codes” suffice generally.



Given Data / Assumptions:

  • ISAs (e.g., 8051, x86, ARM, RISC-V) define many operations.
  • Opcodes must be wide enough to encode instruction types and sometimes subfields.
  • Some micro-ISAs may embed smaller subfields, but not entire instruction sets in 3 bits.


Concept / Approach:
With only 3 bits, at most 8 distinct opcodes are possible. Real-world ISAs require far more than eight instructions to be practical. Even minimalist microcontrollers exceed this count, and complex ISAs include dozens to hundreds of operations with variable-length encodings.



Step-by-Step Solution:

Compute capacity: 3 bits → 2^3 = 8 possible opcodes.Compare to typical ISA sizes: commonly tens or hundreds of instruction mnemonics.Conclude 3 bits are insufficient for “manufacturers of computers.”


Verification / Alternative check:
Examine any ISA reference: even highly reduced RISC cores define more than 8 operations. Many instructions also include function fields, register specifiers, and immediate encodings far beyond a trivial 3-bit opcode.



Why Other Options Are Wrong:

3-bit standard/certain subsystems: Not representative of full ISAs.8051/RISC-only claims: Both use more than 3 unique operations.


Common Pitfalls:
Confusing opcode fields with function fields or microcoded control signals; cherry-picking tiny educational CPUs that are not representative of commercial processors.


Final Answer:
Incorrect — real processors use wider opcodes than 3 bits

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