What is the numeral system that uses only digits 0 and 1?

What is the numeral system that uses only digits 0 and 1?

• A. Binary Representation
• B. Decimal Representation
• C. Octal
• D. Hexadecimal

Answer: (A)

The numeral system that uses only digits 0 and 1 is the binary system, which is base-2. Each position represents a power of two, so numbers are built from sums of 2^0, 2^1, 2^2, and so on. For example, binary 1011 equals 1×2^3 + 0×2^2 + 1×2^1 + 1×2^0 = 8 + 0 + 2 + 1 = 11 in decimal. This two-symbol system fits digital computers, where circuits are either on (1) or off (0). Other numeral systems use more symbols—decimal uses 0–9, octal uses 0–7, and hexadecimal uses 0–9 plus A–F—so the one that uses only 0 and 1 is binary.

The numeral system that uses only digits 0 and 1 is the binary system, which is base-2. Each position represents a power of two, so numbers are built from sums of 2^0, 2^1, 2^2, and so on. For example, binary 1011 equals 1×2^3 + 0×2^2 + 1×2^1 + 1×2^0 = 8 + 0 + 2 + 1 = 11 in decimal. This two-symbol system fits digital computers, where circuits are either on (1) or off (0). Other numeral systems use more symbols—decimal uses 0–9, octal uses 0–7, and hexadecimal uses 0–9 plus A–F—so the one that uses only 0 and 1 is binary.