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Binary Active Bits

Binary Active Bits Calculator

Count the number of active (set) bits in binary numbers, decimal numbers, or hexadecimal values. Useful for bit manipulation, bitwise operations, and binary analysis.

Binary Active Bits Calculator

Enter a binary number (e.g., 10110110)

Options

About Binary Active Bits

What are Active Bits?

Active bits (also called "set bits" or "1-bits") are the bits in a binary number that are set to 1. Counting active bits is a common operation in computer science and programming, especially for:

  • Bit manipulation and bitwise operations
  • Hamming weight calculation
  • Population count algorithms
  • Binary analysis and debugging
  • Optimization and performance analysis

How It Works

The calculator converts your input (binary, decimal, or hexadecimal) to a binary representation and counts the number of bits set to 1. For example:

Binary: 10110110

Active Bits: 5 (positions: 1, 2, 4, 5, 7)

Decimal: 182

Hexadecimal: B6

Common Use Cases

Programming

Count set bits in flags, masks, and bit fields

Cryptography

Analyze binary patterns in encryption algorithms

Data Structures

Optimize bit arrays and bitmaps

Performance

Measure bit density in compressed data

Examples

Example 1: Binary Input

Input: 10110110

Result: 5 active bits at positions 1, 2, 4, 5, 7

Decimal values: 2 + 4 + 16 + 32 + 128 = 182

Example 2: Decimal Input

Input: 255

Result: 8 active bits (all bits set)

Decimal values: 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 = 255

Example 3: Hexadecimal Input

Input: FF

Result: 8 active bits (binary: 11111111)

Decimal values: 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 = 255

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