Kostenloser Binär-zu-Dezimal-Umrechner
Rechnen Sie Binärzahlen (Basis 2) in Dezimalzahlen (Basis 10) um.
Dezimalwert
10
Formel
## How to Convert Binary to Decimal ### Method Each position in a binary number represents a power of 2, starting from 2^0 on the right. **Decimal = b7×128 + b6×64 + b5×32 + b4×16 + b3×8 + b2×4 + b1×2 + b0×1** For example, binary 00001010: - Position 3 (8s place): 1 × 8 = 8 - Position 1 (2s place): 1 × 2 = 2 - Total: 8 + 2 = 10
Lösungsbeispiel
Convert binary 00001010 to decimal.
- 010×128 + 0×64 + 0×32 + 0×16 + 1×8 + 0×4 + 1×2 + 0×1
- 02= 0 + 0 + 0 + 0 + 8 + 0 + 2 + 0
- 03= 10
Häufig Gestellte Fragen
What is the binary number system?
Binary (base-2) uses only two digits: 0 and 1. It is the fundamental number system used by computers and digital electronics.
Why do computers use binary?
Computers use binary because electronic circuits have two stable states (on/off, high/low voltage), making base-2 the natural representation for digital data.
How do you count in binary?
0, 1, 10, 11, 100, 101, 110, 111, 1000... Each position doubles in value from right to left (1, 2, 4, 8, 16, 32, 64, 128, ...).
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