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+example
diff --git a/README.md b/README.md
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+# Salvium: Fixed-Point Decimal Type for Cryptocurrency
+
+## Design Principles
+
+**No silent failures**: Arithmetic operations throw on overflow/underflow instead of clamping. This surfaces bugs immediately rather than corrupting balances silently.
+
+**Integer-based storage**: Stores values as uint64_t atomic units (dusties or 1e-8 Salvium), eliminating floating-point rounding errors entirely. 8 decimal places matches Salvium's precision requirements.
+
+**Type-safe**: The type system itself prevents negative values (unsigned backing type) rather than relying on runtime checks. You cannot construct an invalid state.
+
+**Explicit bounds checking**: Operations that could overflow check before executing, making resource limits visible in the code.
+
+## Why This Works for Crypto
+
+1. **Precision**: Fixed-point arithmetic with integer backing guarantees exact results. No floating-point rounding corruption.
+
+2. **Atomicity**: Works directly with atomic units (dusties), which is how blockchains actually store values.
+
+3. **Auditability**: Failed operations throw; you know immediately when something went wrong. No silently-clamped balance errors.
+
+4. **No negative values by design**: Uses unsigned integers, not runtime validation that can fail.
+
+## Usage
+
+```cpp
+// From atomic units
+Salvium balance(500000000ULL);  // 5 Salvium
+
+// From decimal string (no floating-point involved)
+Salvium amount = Salvium::from_string("1.5");
+
+// Arithmetic throws on overflow/underflow
+balance += amount;
+balance -= amount;  // throws if amount > balance
+
+// Get values back
+uint64_t atomic = balance.to_atomic();
+std::string display = balance.to_salvium_string();
+```
+
+This is what crypto needs.
+
diff --git a/example.cpp b/example.cpp
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+#include "salvium.h"
+#include <iostream>
+
+int main() {
+    try {
+        // Create amounts from atomic units
+        Salvium balance(500000000ULL);  // 5 Salvium
+        Salvium payment(150000000ULL);  // 1.5 Salvium
+        
+        std::cout << "Balance: " << balance.to_salvium_string() << " Salvium\n";
+        std::cout << "Payment: " << payment.to_salvium_string() << " Salvium\n";
+        
+        // Add payment
+        balance += payment;
+        std::cout << "After deposit: " << balance.to_salvium_string() << " Salvium\n";
+        
+        // Subtract payment
+        Salvium withdrawal = Salvium::from_string("2.3");
+        balance -= withdrawal;
+        std::cout << "After withdrawal: " << balance.to_salvium_string() << " Salvium\n";
+
+        // This will throw
+        try {
+            balance -= Salvium::from_string("100");
+        } catch (const std::underflow_error& e) {
+            std::cout << "Error caught: " << e.what() << "\n";
+        }
+
+        // Demonstrate multiplication (pool payout scaling)
+        Salvium block_reward = Salvium::from_string("17.5");
+        Salvium miner_share = block_reward * 50 / 100;  // 50% share
+        std::cout << "Block reward: " << block_reward.to_salvium_string() << " Salvium\n";
+        std::cout << "Miner share: " << miner_share.to_salvium_string() << " Salvium\n";
+        
+        return 0;
+        
+    } catch (const std::exception& e) {
+        std::cerr << "Exception: " << e.what() << "\n";
+        return 1;
+    }
+}
+
diff --git a/salvium.h b/salvium.h
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+#ifndef SALVIUM_H
+#define SALVIUM_H
+
+#include <cstdint>
+#include <stdexcept>
+#include <string>
+#include <sstream>
+#include <iomanip>
+
+// Fixed-point decimal type for Salvium atomic units
+// Stores values as uint64_t with 8 decimal places (dusty precision)
+// Arithmetic operations fail loudly on overflow/underflow
+
+class Salvium {
+private:
+    static constexpr uint64_t ATOMIC_UNIT = 100000000ULL;  // 10^8
+    static constexpr int DECIMAL_PLACES = 8;
+    
+    uint64_t atomic_units;  // value in dusties
+    
+    // Helper to detect overflow in multiplication
+    static bool will_overflow_multiply(uint64_t a, uint64_t b) {
+        if (a == 0 || b == 0) return false;
+        return a > UINT64_MAX / b;
+    }
+    
+    // Helper to detect overflow in addition
+    static bool will_overflow_add(uint64_t a, uint64_t b) {
+        return a > UINT64_MAX - b;
+    }
+
+public:
+    // Construct from atomic units (dusties)
+    explicit Salvium(uint64_t atomic = 0) : atomic_units(atomic) {}
+    
+    // Construct from decimal string (e.g., "1.5", "100", "0.00000001")
+    // Parses directly to atomic units without floating-point
+    static Salvium from_string(const std::string& s) {
+        if (s.empty()) {
+            throw std::invalid_argument("Empty string");
+        }
+
+        size_t decimal_pos = s.find('.');
+        std::string whole_str = (decimal_pos == std::string::npos) ? s : s.substr(0, decimal_pos);
+        std::string frac_str = (decimal_pos == std::string::npos) ? "" : s.substr(decimal_pos + 1);
+
+        // Validate characters
+        for (char c : whole_str) {
+            if (c < '0' || c > '9') {
+                throw std::invalid_argument("Invalid character in whole part");
+            }
+        }
+        for (char c : frac_str) {
+            if (c < '0' || c > '9') {
+                throw std::invalid_argument("Invalid character in fractional part");
+            }
+        }
+
+        // Check fractional precision
+        if (frac_str.length() > DECIMAL_PLACES) {
+            throw std::invalid_argument("Too many decimal places (max 8)");
+        }
+
+        // Pad fractional part to 8 digits
+        while (frac_str.length() < DECIMAL_PLACES) {
+            frac_str += '0';
+        }
+
+        // Parse parts
+        uint64_t whole = 0;
+        if (!whole_str.empty()) {
+            for (char c : whole_str) {
+                uint64_t digit = c - '0';
+                if (will_overflow_multiply(whole, 10)) {
+                    throw std::overflow_error("Value exceeds maximum");
+                }
+                whole *= 10;
+                if (will_overflow_add(whole, digit)) {
+                    throw std::overflow_error("Value exceeds maximum");
+                }
+                whole += digit;
+            }
+        }
+
+        uint64_t frac = 0;
+        for (char c : frac_str) {
+            frac = frac * 10 + (c - '0');
+        }
+
+        // Combine: whole * ATOMIC_UNIT + frac
+        if (will_overflow_multiply(whole, ATOMIC_UNIT)) {
+            throw std::overflow_error("Value exceeds maximum");
+        }
+        uint64_t atomic = whole * ATOMIC_UNIT;
+        if (will_overflow_add(atomic, frac)) {
+            throw std::overflow_error("Value exceeds maximum");
+        }
+
+        return Salvium(atomic + frac);
+    }
+    
+    // Get value in atomic units (dusties)
+    uint64_t to_atomic() const {
+        return atomic_units;
+    }
+    
+    // Get value as display string (Salvium)
+    std::string to_salvium_string() const {
+        std::ostringstream oss;
+        oss << std::fixed << std::setprecision(DECIMAL_PLACES);
+        
+        uint64_t whole = atomic_units / ATOMIC_UNIT;
+        uint64_t fractional = atomic_units % ATOMIC_UNIT;
+        
+        oss << whole << "." << std::setfill('0') << std::setw(DECIMAL_PLACES) << fractional;
+        
+        std::string result = oss.str();
+        
+        // Strip trailing zeros after decimal point
+        size_t decimal_pos = result.find('.');
+        if (decimal_pos != std::string::npos) {
+            result.erase(result.find_last_not_of('0') + 1);
+            if (result.back() == '.') {
+                result.pop_back();
+            }
+        }
+        
+        return result;
+    }
+    
+    // Arithmetic operators
+    Salvium operator+(const Salvium& other) const {
+        if (will_overflow_add(atomic_units, other.atomic_units)) {
+            throw std::overflow_error("Addition overflow");
+        }
+        return Salvium(atomic_units + other.atomic_units);
+    }
+    
+    Salvium operator-(const Salvium& other) const {
+        if (atomic_units < other.atomic_units) {
+            throw std::underflow_error("Subtraction underflow");
+        }
+        return Salvium(atomic_units - other.atomic_units);
+    }
+    
+    Salvium operator*(uint64_t scalar) const {
+        if (will_overflow_multiply(atomic_units, scalar)) {
+            throw std::overflow_error("Multiplication overflow");
+        }
+        return Salvium(atomic_units * scalar);
+    }
+    
+    Salvium operator/(uint64_t scalar) const {
+        if (scalar == 0) {
+            throw std::invalid_argument("Division by zero");
+        }
+        return Salvium(atomic_units / scalar);
+    }
+    
+    // In-place operators
+    Salvium& operator+=(const Salvium& other) {
+        *this = *this + other;
+        return *this;
+    }
+    
+    Salvium& operator-=(const Salvium& other) {
+        *this = *this - other;
+        return *this;
+    }
+    
+    Salvium& operator*=(uint64_t scalar) {
+        *this = *this * scalar;
+        return *this;
+    }
+    
+    Salvium& operator/=(uint64_t scalar) {
+        *this = *this / scalar;
+        return *this;
+    }
+    
+    // Comparison operators
+    bool operator==(const Salvium& other) const {
+        return atomic_units == other.atomic_units;
+    }
+    
+    bool operator!=(const Salvium& other) const {
+        return atomic_units != other.atomic_units;
+    }
+    
+    bool operator<(const Salvium& other) const {
+        return atomic_units < other.atomic_units;
+    }
+    
+    bool operator<=(const Salvium& other) const {
+        return atomic_units <= other.atomic_units;
+    }
+    
+    bool operator>(const Salvium& other) const {
+        return atomic_units > other.atomic_units;
+    }
+    
+    bool operator>=(const Salvium& other) const {
+        return atomic_units >= other.atomic_units;
+    }
+    
+    // Zero check
+    bool is_zero() const {
+        return atomic_units == 0;
+    }
+};
+
+#endif  // SALVIUM_H
+