Binary string
A binary string is a finite, ordered sequence of binary digits, each having the value zero or one.
Quantum Programming in Depth
A bit string is a finite sequence of binary digits used here to represent a computational basis state.
- How it is used
- Labels basis states, measurement outputs, oracle inputs, and constrained search candidates.
- How deep it goes
- Defines binary strings operationally through indexing, measurement, parity, and search encodings, while deferring general encoding theory.
- Examples
- Uses \(\ket{01}\), measured two-qubit outcomes, marked strings \(001\) and \(110\), and N queens board encodings.
- What you can do after
- Apply it via quantum programming tools by mapping basis labels to indexes and interpreting oracle or measurement inputs consistently.
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Building Quantum Software with Python
A binary string is a finite sequence of symbols drawn from the binary alphabet, typically 0 and 1.
- How it is used
- Represents quantum-computation measurement results and supports interpreting them as integers or encoded variables.
- How deep it goes
- Defines binary strings, relates length to qubit count and outcome count, and demonstrates decimal interpretation without pursuing hardware implementation.
- Examples
- Uses one-, two-, and three-qubit outcome tables, the outcome 100 interpreted as 4, and registers encoding a knapsack problem.
- What you can do after
- Evaluate/understand quantum measurement outcomes as bit sequences, integers, probability samples, or register-encoded values.
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Elixir in Action, Third Edition
A binary is a contiguous sequence of bytes used by Elixir to represent binary data and strings.
- How it is used
- Represents strings and byte-oriented data while supporting efficient output and binary protocol parsing.
- How deep it goes
- Defines construction, sizing, concatenation, and basic matching, but defers extensive binary handling and Unicode character processing.
- Examples
- Uses byte literals, sized bit fields, concatenated binaries, command-prefix matching, and nested IO-list output.
- What you can do after
- Apply it via Elixir syntax to construct, concatenate, match, and route byte sequences to I/O functions.
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Advanced Algorithms and Data Structures
A bit string is a finite sequence of binary digits used to represent information or a candidate solution.
- How it is used
- Encodes candidate solutions for genetic algorithms when decisions can be represented as binary inclusion or exclusion choices.
- How deep it goes
- Defines bit-level encoding and initialization, then contrasts binary chromosomes with real-valued and permutation representations.
- Examples
- Uses 0–1 knapsack and minimum vertex cover, contrasting item or vertex subsets selected by individual bits.
- What you can do after
- Apply it via genetic algorithms to encode, initialize, mutate, and recombine subset-selection solutions.
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Optimization Algorithms: AI techniques for design, planning, and control problems
A bit string is an ordered sequence whose elements are binary digits.
- How it is used
- Represents candidate solutions for binary genetic algorithms and discrete particle-swarm optimization.
- 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 you can do after
- Apply it via binary genetic algorithms or binary particle swarm optimization to encode and search candidate solutions.
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.
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