The binary number system (base-2) uses only 0 and 1. Every digital device β from smartphones to supercomputers β processes data as binary.
Conversion
Binary 1011 = 1Γ2Β³ + 0Γ2Β² + 1Γ2ΒΉ + 1Γ2β° = 8 + 0 + 2 + 1 = 11 in decimal.
Related Bases
- Octal (base-8): Groups of 3 binary digits
- Hexadecimal (base-16): Groups of 4 binary digits, uses 0β9 and AβF
Binary Arithmetic
0+0=0, 0+1=1, 1+0=1, 1+1=10 (carry 1). Same logical rules for multiplication.