What does 110 mean in binary?

To interpret 110 in binary and convert it to its decimal (base-10) equivalent, we follow the standard binary-to-decimal conversion process.

Step-by-Step Conversion

• In binary, each digit represents a power of 2, starting from the right (least significant bit) at 2⁰.
• The number 110 in binary has three digits, so we assign powers of 2 from right to left:
  • Leftmost digit (1): 2² = 4
  • Middle digit (1): 2¹ = 2
  • Rightmost digit (0): 2⁰ = 1
• Calculate the value by multiplying each digit by its corresponding power of 2 and summing:
  • (1 × 2²) + (1 × 2¹) + (0 × 2⁰) = (1 × 4) + (1 × 2) + (0 × 1) = 4 + 2 + 0 = 6

Answer

110 in binary equals 6 in decimal.