Numeration for digital electronics — Evaluate: “Digital electronics must use a numbering system that has more than ten digits.”

Introduction / Context:
Digital electronics are fundamentally binary—two symbols (0 and 1) suffice to represent any number or code by positional weighting. Higher-radix notations such as octal and hexadecimal are conveniences for humans, not necessities for the hardware. The statement claims that a system must use a base with more than ten digits, which is not accurate.

Given Data / Assumptions:

• Binary digits (bits) are the native storage and processing units.
• Human-readable notations (octal/hex/decimal) are for documentation and debugging.
• Logic families implement two distinct levels for robustness.

Concept / Approach:
With positional notation, any integer can be represented with any base b ≥ 2. Hardware favors b = 2 due to physical reliability of two-state devices and simple logic. While base-10 displays are common for user interfaces, internals remain binary. Therefore, it is false that digital electronics must have “more than ten digits.”

Step-by-Step Solution:

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