# Operations

This document gives a high-level overview of various operations on encrypted integers supported by **TFHE-rs.**

**TFHE-rs** supports various operations on encrypted integers (`Enc`) of any size between 1 and 256 bits. These operations can also work between encrypted integers and clear integers (`Int`).

| name                  | symbol      | `Enc`/`Enc`          | `Enc`/ `Int`               |
| --------------------- | ----------- | -------------------- | -------------------------- |
| Neg                   | `-`         | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| Add                   | `+`         | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| Sub                   | `-`         | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| Mul                   | `*`         | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| Div                   | `/`         | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| Rem                   | `%`         | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| Not                   | `!`         | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| BitAnd                | `&`         | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| BitOr                 | `\|`        | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| BitXor                | `^`         | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| Shr                   | `>>`        | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| Shl                   | `<<`        | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| Min                   | `min`       | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| Max                   | `max`       | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| Greater than          | `gt`        | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| Greater or equal than | `ge`        | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| Less than             | `lt`        | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| Less or equal than    | `le`        | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| Equal                 | `eq`        | :heavy\_check\_mark: | :heavy\_check\_mark:       |
| Cast (into dest type) | `cast_into` | :heavy\_check\_mark: | :heavy\_multiplication\_x: |
| Cast (from src type)  | `cast_from` | :heavy\_check\_mark: | :heavy\_multiplication\_x: |
| Ternary operator      | `select`    | :heavy\_check\_mark: | :heavy\_multiplication\_x: |


---

# Agent Instructions: Querying This Documentation

If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question.

Perform an HTTP GET request on the current page URL with the `ask` query parameter:

```
GET https://docs.zama.org/tfhe-rs/fhe-computation/operations.md?ask=<question>
```

The question should be specific, self-contained, and written in natural language.
The response will contain a direct answer to the question and relevant excerpts and sources from the documentation.

Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.