A binary to decimal converter changes base-2 numbers into base-10. Enter a binary value (only 0s and 1s) to get its decimal equivalent with each place value shown.
Binary is the language of computers — every digit is a single on/off bit. Each position represents a power of two, doubling as you move left.
Multiply each bit by its place value (1, 2, 4, 8 …) and add the results. The converter lists every term so the contribution of each bit is visible.
Binary is base 2, using only 0 and 1. Multiply each bit by the power of two matching its position (reading right to left) and sum the results.
Each position is worth twice the one to its right — 1, 2, 4, 8, 16 … For example, 1011 = 8 + 0 + 2 + 1 = 11.