Binary string

As explained in Optimization Algorithms: AI techniques for design, planning, and control problems

A bit string is an ordered sequence whose elements are binary digits.

A binary string is an ordered sequence of bits, with each position holding either 0 or 1. Optimization methods use it to represent candidate solutions in a finite binary search space. section 9.3 section 7.3.2

Encoding a ticket price

A binary genetic algorithm represents ticket prices from 75.0 to 235.0 with 0.1 precision using 8-bit chromosomes. Example encodings include 01001101 for 77 and 11001011 for 203. The required length follows range size, precision, and logarithms base 2. section 7.3.2

Binary particle swarm optimization updates each bit using its current value, fitness-related information, neighboring particles’ best bit values, and a probability derived from a sigmoid-transformed velocity. section 9.3

Figure 7.8 Binary encoding

Use the binary-encoding figure to inspect how candidate values become bit strings. section 7.3.2

How Optimization Algorithms: AI techniques for design, planning, and control problems covers it

How deep it goes

Defines bitwise representation, explains fixed-length numeric encoding, and describes probabilistic BPSO updates.

Examples

Uses ticket-price chromosomes such as 01001101 and 11001011, plus bitwise particle updates in BPSO.

What it assumes

Assumes basic optimization vocabulary while deriving required bit length from bounds and desired precision.

What you can do after

Apply it via binary genetic algorithms or binary particle swarm optimization to encode and search candidate solutions.

How it connects

Connects binary encoding with genetic algorithms, particle swarm optimization, feature selection, and permutation encoding.

liveBookmanning.com

Read Optimization Algorithms: AI techniques for design, planning, and control problems on liveBook Get the book at manning.com

Also explained in

• 

  liveBookmanning.com
  Quantum Programming in DepthA bit string is a finite sequence of binary digits used here to represent a computational basis state.
• 

  liveBookmanning.com
  Building Quantum Software with PythonA binary string is a finite sequence of symbols drawn from the binary alphabet, typically 0 and 1.
• 

  liveBookmanning.com
  Elixir in Action, Third EditionA binary is a contiguous sequence of bytes used by Elixir to represent binary data and strings.
• 

  liveBookmanning.com
  Advanced Algorithms and Data StructuresA bit string is a finite sequence of binary digits used to represent information or a candidate solution.

Compare how 5 books explain binary string →

Related concepts

• two's complementused by · Two’s complement is a fixed-width positional binary representation of signed integers in which the highest-order bit has negative weight and the remaining bits have positive weights.
• binary decompositionused by · Binary decomposition expresses an integer as the sum of powers of two selected by the positions of its one-valued binary digits.
• combinationalternative to · A combination is a selection of elements in which the order of selection does not matter.

This explainer was generated by Manning's knowledge graph from the text of Optimization Algorithms: AI techniques for design, planning, and control problems. The section links point to the parts of the book it draws on.