Binary number system basics: “The two binary digits are 1 and 2.” Assess this statement for correctness.

Introduction / Context:The binary number system underpins all digital electronics and computing. It is essential to recall exactly which symbols (digits) are valid in base-2.

Given Data / Assumptions:

• Binary is base-2.
• Digits allowed in base-b are 0 through b-1.
• We check the claim that the binary digits are 1 and 2.

Concept / Approach:For base-2, the allowed digits are 0 and 1. The digit “2” is not valid in base-2 representation; encountering it indicates either a base-10 interpretation or an error. Digital logic physically encodes these digits as distinct states, typically low and high voltages.

Step-by-Step Solution:

Verification / Alternative check:Examples like 1011₂ show composition exclusively from 0 and 1. Attempting to write a digit “2” in binary is undefined and must be carried into the next higher bit in another radix.

Why Other Options Are Wrong:Correct: would misdefine the binary system and contradict all digital practice.

Common Pitfalls:Confusing binary digits (bits) with decimal digits; mixing radices when converting numbers.

Final Answer:Incorrect