Base Conversion Nasıl Hesaplanır?
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A number base converter converts integers between any base from 2 to 36. Binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16) are the most used in computing.
Formül
Base n to decimal: Σ (digit × n^position); Decimal to base n: repeatedly divide by n, collect remainders
- n
- Number base (2-36)
- d
- Digit value
- p
- Digit position (rightmost = 0)
Adım Adım Kılavuz
- 1To convert from base n to decimal: each digit × nᵖᵒˢⁱᵗⁱᵒⁿ, sum all
- 2Decimal to base n: repeatedly divide by n, collect remainders in reverse
- 3Digits above 9 use letters: A=10, B=11... Z=35
- 4Hex ↔ Binary: each hex digit = exactly 4 bits
Çözümlü Örnekler
Giriş
Decimal 42 to binary
Sonuç
42÷2=21r0; 21÷2=10r1; 10÷2=5r0; 5÷2=2r1; 2÷2=1r0; 1÷2=0r1 → 101010
Sık sorulan sorular
Why do we use bases other than 10?
Computers use binary (base 2) and hexadecimal (base 16) for efficiency. Octal (base 8) was historically used in early computing.
What does hexadecimal stand for?
Hexadecimal means 16 (hex- = 6, -decimal = 10). It uses digits 0-9 and letters A-F.
How do I convert hex to binary quickly?
Each hex digit equals exactly 4 binary bits. F = 1111, A = 1010, etc.