Dezimal-zu-Binär-Umrechner
Wandle Dezimal in Binär mit BigInt um, mit konfigurierbarem Padding und Zweierkomplement. Sieh die Division-Schritte und erhalte Hex/Oktal.
Decimal to Binary Calculator Online (Step-by-Step)
Convert decimal to binary with BigInt, add custom padding, get hex/octal equivalents, and review the repeated division steps. Everything is stacked vertically for a distraction-free flow.
Binary
Grouped binary
Signed binary (two's complement)
Hex with padding
Octal
Automatic steps: repeated division by 2
| Dividend | Quotient | Remainder | Step |
|---|
How to convert decimal to binary
The manual method divides by 2 repeatedly and stores the remainders; they are read in reverse order. For negative numbers, apply two's complement with the chosen bit width.
- Clean the input. Remove spaces, underscores, and duplicate signs; keep only digits and an optional leading sign.
- Take the magnitude. Work with the absolute value to build the unsigned binary.
- Divide by 2. Record the quotient and remainder (0 or 1) on each step.
- Iterate. Use the new quotient as the dividend until it reaches 0.
- Read backwards. The unsigned binary is the sequence of remainders from last to first.
- Two's complement. If the decimal is negative and you pick a bit-width n, pad the magnitude to n bits, flip all bits, and add 1. If the magnitude does not fit in n bits, you'll be prompted to increase the width.
Positive example (10973): successive divisions produce remainders 1 0 1 1 1 0 1 1 0 1 0 1 0 1; in reverse order they form 10101011011101.
Negative example (-25) with 8 bits: the magnitude is 11001, padded to 00011001, inverted to 11100110, and adding 1 gives 11100111.
Frequently asked questions
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