Arithmetic Obfuscation

Arithmetic obfuscation rewrites the arithmetic in your code as complex equivalent expressions, hiding the simple operations behind sensitive logic.

  • JavaScriptJavaScript
  • AppleiOS
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TL;DR

Arithmetic obfuscation replaces simple math in your code with longer expressions that compute the same value. An addition becomes a chain of bitwise and arithmetic operations. The result is identical, but the calculation an attacker reads no longer reveals what it is really doing.

Definition

What is arithmetic obfuscation?

Arithmetic obfuscation is a technique that transforms arithmetic operations into equivalent but more complex expressions. A simple operation is replaced with a sequence that reaches the same result through a longer path.

Arithmetic often reveals intent. A constant multiplier, an offset, a bit mask: these are clues to what an algorithm does. Arithmetic obfuscation hides those clues.

The transformed expressions are mathematically equivalent, so the program produces identical results. What changes is readability: the simple operation behind a calculation is no longer visible.

Mechanism

How arithmetic obfuscation works

Arithmetic obfuscation applies equivalence transformations:

  • Expression expansion. A simple operation is rewritten as a longer chain that yields the same value.

  • Mixed boolean-arithmetic. Arithmetic is combined with bitwise logic into expressions that resist simplification.

  • Constant hiding. Literal numbers are replaced by expressions that compute them at runtime.

Each transformation is verified to be equivalent, so behavior never changes.

Example

Arithmetic obfuscation example

The same function, before and after arithmetic obfuscation. Both return the same value for every input.

Original

A calculation appears as a simple, readable expression. An attacker understands the math immediately.

Obfuscated

The same calculation is now a complex expression mixing arithmetic and bitwise operations. The result is identical, the intent is hidden.

Original
function fee(amount) {
    return amount * 5;
}
Obfuscated
function fee(amount) {
    return (amount << 2) + amount;
}

Use cases

When to use arithmetic obfuscation

Arithmetic obfuscation is most useful when your application:

  • Contains algorithms, formulas, or calculations worth protecting.
  • Uses meaningful constants that reveal how something works.
  • Needs depth at the expression level beyond structural obfuscation.

It pairs naturally with control flow obfuscation and string encryption to protect logic, structure, and data together.

Platform availability

Arithmetic obfuscation across platforms

  • JavaScript

    Numeric literals and arithmetic converted to complex expressions.

  • iOS

    Arithmetic transformation applied during binary compilation.

Related

Related Shield protections

Frequently asked questions

What is arithmetic obfuscation?
Arithmetic obfuscation is a technique that rewrites arithmetic operations as complex but equivalent expressions, hiding the simple math and constants that reveal what an algorithm does.
Does arithmetic obfuscation affect performance?
It adds a small overhead, since expressions are longer. The level is configurable so you can balance protection and speed.
Does arithmetic obfuscation change results?
No. Every transformation is mathematically equivalent, so the program produces exactly the same values.
What does arithmetic obfuscation protect?
It protects algorithms, formulas, and meaningful constants by removing the readable simple operations behind them.
Which platforms support arithmetic obfuscation?
ByteHide Shield provides arithmetic obfuscation for JavaScript and iOS, with equivalent transformations on .NET and Android.
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