Random Fixed-Point Binary Generator

This project implements a Fixed-Point Number Generator in C. It constructs 5-bit binary sequences with a variable decimal point position and converts them to floating-point values based on specific constraints.

⚙️ Algorithm Logic

The generation process follows these rules:

1. Structure ($X + Y = 5$):
   • Each number consists of 5 bits.
   • $X$ bits: Represent the Integer part.
   • $Y$ bits: Represent the Fractional part (Randomly assigned $1 \le Y \le 3$).
2. Constraint (Parity Balance):
   • The generated bits must satisfy the condition: $|Count(1) - Count(0)| = 1$.
   • Example: Three 1s and Two 0s (Difference = 1).
3. Conversion:
   • Calculates the decimal value using powers of 2 for $X$ and negative powers of 2 for $Y$.

Mathematical Example

Given Binary: 10101 with $Y=2$ (Last 2 bits are fractional).

• Split: 101 (Integer) . 01 (Fractional)
• Integer Calculation: $1\cdot2^2 + 0\cdot2^1 + 1\cdot2^0 = 4 + 0 + 1 = 5$
• Fractional Calculation: $0\cdot2^{-1} + 1\cdot2^{-2} = 0 + 0.25 = 0.25$
• Result: 5.25

🚀 Output Example

--- 5-Bit Sabit Noktali Sayi Ureteci (N=6) ---
Format: [Indeks] [Bitler] (X:Tam, Y:Ondalik) -> [Sonuc]
-------------------------------------------------------
1. Sayi: 10101     [Tam(X):3 | Ondalik(Y):2]     Sonuc: 5.250
2. Sayi: 11100     [Tam(X):2 | Ondalik(Y):3]     Sonuc: 3.000
3. Sayi: 01110     [Tam(X):4 | Ondalik(Y):1]     Sonuc: 7.000