Binary numbers are based on which base, in contrast to decimal base ten?

Binary numbers are based on which base, in contrast to decimal base ten?

• A. Base-2
• B. Base-10
• C. Base-8
• D. Base-16

Answer: (A)

Binary numbers are based on base-2, meaning each place value is a power of two and only two digits are used: 0 and 1. This is different from decimal, which is base-10 and uses ten digits (0–9) with place values that are powers of ten. For example, the binary 1011 represents 1×8 + 0×4 + 1×2 + 1×1 = 11 in decimal. Other bases include base-8 (digits 0–7) and base-16 (digits 0–9 plus A–F). Therefore, binary is the base-2 system.

Binary numbers are based on base-2, meaning each place value is a power of two and only two digits are used: 0 and 1. This is different from decimal, which is base-10 and uses ten digits (0–9) with place values that are powers of ten. For example, the binary 1011 represents 1×8 + 0×4 + 1×2 + 1×1 = 11 in decimal. Other bases include base-8 (digits 0–7) and base-16 (digits 0–9 plus A–F). Therefore, binary is the base-2 system.