Which method is used to convert a binary number to its decimal value?

Which method is used to convert a binary number to its decimal value?

• A. Use Positional Notation
• B. Divide by 2, Use Remainders
• C. Group Binary Number into 3s, Use Table
• D. Group Binary Number into 4s, Use Table

Answer: (A)

Binary numbers are read using positional notation with base 2, so converting to decimal means interpreting each 1 as a power of two and summing those values. For example, 1011₂ equals 1×2^3 + 0×2^2 + 1×2^1 + 1×2^0 = 8 + 0 + 2 + 1 = 11 in decimal. The other methods shown aren’t used for binary-to-decimal conversions: dividing by 2 and taking remainders is a technique for turning a decimal number into binary, while grouping into 4s (nibbles) or 3s helps convert binary to hexadecimal or octal, respectively.

Binary numbers are read using positional notation with base 2, so converting to decimal means interpreting each 1 as a power of two and summing those values. For example, 1011₂ equals 1×2^3 + 0×2^2 + 1×2^1 + 1×2^0 = 8 + 0 + 2 + 1 = 11 in decimal. The other methods shown aren’t used for binary-to-decimal conversions: dividing by 2 and taking remainders is a technique for turning a decimal number into binary, while grouping into 4s (nibbles) or 3s helps convert binary to hexadecimal or octal, respectively.