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Karmaşık Sayı Hesaplayıcı

Karmaşık sayıları toplayın, çıkarın, çarpın ve bölün.

Giriş

Complex Number Calculator — Add, subtract, multiply, and divide complex numbers. Enter Real 1, Imaginary 1, Operation, Real 2, Imaginary 2 to get an instant, accurate result.

Formül

For (a+bi) and (c+di): addition/subtraction combine real and imaginary parts separately; multiplication uses (ac−bd) + (ad+bc)i; division multiplies by the conjugate: ((ac+bd) + (bc−ad)i) / (c²+d²).

Adım adım

  1. Enter the Real 1.
  2. Enter the Imaginary 1.
  3. Enter the Operation.
  4. Enter the Real 2.
  5. Enter the Imaginary 2.
  6. Click Calculate to see your result instantly.

Gerçek dünya örneği

Example: With Real 1 = 1, Imaginary 1 = 2, Operation = +, Real 2 = 3, Imaginary 2 = 4, the Complex Number Calculator gives Real: 4, Imaginary: 6.

Sıkça Sorulan Sorular

What happens if I divide by 0+0i?
Division is undefined and the calculator reports an error rather than a result.
Which operations are supported?
Addition, subtraction, multiplication, and division of two complex numbers.
What inputs does the Complex Number Calculator need?
You'll need to provide: Real 1, Imaginary 1, Operation, Real 2, Imaginary 2. All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Complex Number Calculator?
The Complex Number Calculator applies the formula exactly as calculated — For (a+bi) and (c+di): addition/subtraction combine real and imaginary parts separately; multiplication uses (ac−bd) + (ad+bc)i; division multiplies by the conjugate: ((ac+bd) + (bc−ad)i) / (c²+d²). — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Complex Number Calculator free to use?
Yes, the Complex Number Calculator is completely free, requires no signup, and runs instantly in your browser.

Karmaşık Sayı Hesaplayıcı Hakkında

The Complex Number Calculator uses a real, verifiable formula — For (a+bi) and (c+di): addition/subtraction combine real and imaginary parts separately; multiplication uses (ac−bd) + (ad+bc)i; division multiplies by the conjugate: ((ac+bd) + (bc−ad)i) / (c²+d²). — so results are accurate every time, not an approximation.