Conversions · · 5 min read
How to Convert Binary to Decimal (and Decimal to Binary)
Convert binary to decimal and decimal to binary step by step using place values and repeated division, with worked examples, a powers-of-two table and tips.
Conversion rules explained with simple steps and worked examples, so you understand the answer and not just copy it.

Conversions look mechanical, but small slips are common: multiplying when you should divide, mixing up fluid ounces and weight ounces, forgetting that binary place values double, or writing a cheque amount in words that does not match the figures. These guides explain the logic behind each conversion so you can spot an answer that looks wrong.
Before you trust any converted value, ask whether it should be bigger or smaller than the original. A kilogram is heavier than a pound, so the number of pounds should be larger. A binary number is longer than its decimal version. Our converters show the result instantly, and the guides help you understand why it is right.