How many values are allowed in the binary number system?

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Question restatement: How many values are allowed in the binary number system?

Option a. 8: This corresponds to the octal system, which uses eight distinct symbols (0–7). It is not the binary system, so this is incorrect for describing binary values.

Option b. 2: In binary, numbers are represented using only two symbols, typically 0 and 1. This is the defining feature of the binary numeral system, and those two symbols allow for two distinct values at each digit place.

Option c. 1: A numeral system that offers only one possible symbol would not be able to represent more than a single quantity, which makes it unusable for general counting or representing numbers. This is not how binary operates.

Option d. 0: A system with zero possible values would be undefined for counting or computation. Binary requires at least two symbols to encode information, so this cannot be correct.

Clarifying the core idea: Binary is a base-2 system, meaning its digits come from a set of size 2. Each position represents a power of 2, and each digit can be either 0 or 1, enabling representation of all integers through combinations of those two symbols. Consequently, the statement that binary uses two values (0 and 1) accurately captures its essence, aligning with option b.

How many values are allowed in the binary number system?

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