How does folding across more than two integers work?

The AND of the first two values is computed, then that result is ANDed with the third value, and so on, until every value in the list has been combined into one result.

Can I AND negative integers?

No. Bitwise AND here is only defined on non-negative integers at a fixed 32-bit width, so negative values are rejected with a clear error.

What's the maximum value I can enter?

Any non-negative integer that fits in 32 bits, up to 4,294,967,295. Larger values are rejected since they don't fit the fixed width used for the operation.

How is bitwise AND different from logical AND?

Bitwise AND compares each pair of bits independently across the full binary representation of the numbers, producing a number, whereas logical AND works on true/false values and produces a boolean.

Integer AND Calculator - Bitwise AND of a List of Integers

Overview

Introduction

This tool computes the bitwise AND across a whole list of non-negative integers, folding them together left to right into one result.

It's useful whenever you need to combine flag values or masks using the AND operation without doing the binary math by hand.

What Is Integer AND Calculator?

A calculator that treats bitwise AND as an associative fold across a list: AND the first two values, then AND that with the next, and so on.

It operates at a fixed 32-bit width, matching how bitwise operators behave in most programming languages.

How Integer AND Calculator Works

Each non-blank line is parsed as a non-negative integer no larger than 4,294,967,295 (the maximum unsigned 32-bit value).

The values are combined pairwise with bitwise AND, carrying the running result forward across the whole list.

The final combined result is returned as a single decimal number.

When To Use Integer AND Calculator

Use it to combine several bitmask or flag values together to see which bits remain set in all of them.

It's also useful for teaching or verifying how bitwise AND behaves across more than two operands.

Often used alongside Integer OR Calculator, Integer XOR Calculator and Integer NAND Calculator.

Features

Advantages

Handles any number of operands (2 or more) in a single pass, not just two at a time.
Uses a clear, fixed 32-bit width so results are predictable and match common programming-language behavior.
Clearly rejects negative or oversized inputs instead of silently producing a wrong result.

Limitations

Only supports non-negative integers up to 32 bits; there's no signed or wider-width mode.
Requires at least two values in the list; a single value has nothing to AND against.

Examples

Folding AND across three values

Input

12
10
9

Output

12 & 10 = 8, then 8 & 9 = 8.

Two values

Input

15
9

Output

15 (1111 in binary) AND 9 (1001) keeps only the bits set in both: 1001 = 9.

Best Practices & Notes

Best Practices

Use this tool when you specifically want AND semantics (bits set in every value); for 'set in any value', use the OR calculator instead.
Keep all values non-negative and within 32 bits, since this tool is defined only for that range.

Developer Notes

Values are validated and parsed first, then combined with a single `reduce` using JavaScript's `&` operator followed by `>>> 0` to keep the running result in unsigned 32-bit form throughout the fold.

Integer AND Calculator Use Cases

Combining multiple bitmask or permission-flag values to find bits common to all of them
Verifying bitwise-AND logic in application code against known test values
Teaching how bitwise operators fold across more than two operands

Common Mistakes

Entering a negative number, which is rejected since bitwise AND here is only defined for non-negative integers.
Expecting a value larger than 4,294,967,295 to work; it's outside the fixed 32-bit width this tool uses.
Confusing bitwise AND (a per-bit combination) with logical AND (a true/false combination).

Tips

If you only have two values, the result is the same as pairwise AND; the fold matters most with three or more.
Pair with the Integer NOT Calculator if you also need the complement of the combined result.

Integer AND Calculator