Which base number system uses the digits 0 and 1?

Which base number system uses the digits 0 and 1?

• A. Binary Number System
• B. Decimal Number System
• C. Octal Number System
• D. Hexadecimal Number System

Answer: (A)

The main idea is recognizing a base-2 system, which is defined by having exactly two digits: 0 and 1. In binary, each position represents a power of two, so numbers are built by summing powers of two according to which bits are 1. That’s why using only 0 and 1 is the hallmark of this system. The other bases use more symbols: decimal uses ten digits (0–9), octal uses eight digits (0–7), and hexadecimal uses sixteen digits (0–9 and A–F). Because they require more than two symbols, they aren’t the system that uses only 0 and 1. Binary fits especially well with computing, since digital circuits switch between two states, aligning perfectly with these two symbols.

The main idea is recognizing a base-2 system, which is defined by having exactly two digits: 0 and 1. In binary, each position represents a power of two, so numbers are built by summing powers of two according to which bits are 1. That’s why using only 0 and 1 is the hallmark of this system. The other bases use more symbols: decimal uses ten digits (0–9), octal uses eight digits (0–7), and hexadecimal uses sixteen digits (0–9 and A–F). Because they require more than two symbols, they aren’t the system that uses only 0 and 1. Binary fits especially well with computing, since digital circuits switch between two states, aligning perfectly with these two symbols.