How many values are allowed in the binary number system?

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BlackTom AI · Accepted Answer

The question asks about how many values are allowed in the binary number system, which is defined by its base.
In a base-2 (binary) system, there are exactly two distinct digits used to represent values: 0 and 1. The number of possible digit symbols in a base is equal to the base itself; here the base is 2, so there are 2 possible digits, and consequently 2 possible values when considering the digit set alone.
The provided answer entry lists 'd. 2', which corresponds to the idea that the binary system operates with two symbols/digits, yielding two possible single-digit values. This matches the fundamental property of binary numeration, where only two symbols are available for each position.
Note: If other options had been shown, we would compare them against the fundamental rule that a base-b system uses b distinct digits, so in binary (base-2) the digits are precisely two, not more or fewer. Since the answer options are not displayed here, we focus on explaining why the binary system has two possible digits and how that leads to two values for single-digit representations.

MUF0051 ICT Unit 1 - Semester 1, 2025 10.19 Quiz: Digital systems

How many values are allowed in the binary number system?

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