Binary computing
Explore base conversions, binary arithmetic, bitwise operations, and data representation.
Binarios.org is an educational project focused on binary number systems, Boolean algebra, logic gates, digital systems, encoding, and logical reasoning. Explore the current tools below, then browse the wider directory of topics and planned additions.
Computers represent and process information through number systems, logical operations, encoding rules, and digital circuits. Binarios.org aims to make these subjects easier to understand through focused tools, examples, and accessible explanations for students, teachers, developers, and curious learners.
Explore base conversions, binary arithmetic, bitwise operations, and data representation.
Learn Boolean algebra, truth tables, logic gates, and fundamental digital electronics.
Explore formal reasoning, logical relationships, problem-solving, and logic puzzles.
Use converters, calculators, encoding utilities, and data-integrity tools that have a registered page link.
A registered link means the page is listed in the site's tool registry; verify that each destination is deployed and working before publishing it.
Choose a tool to open its specific PHP page. The destination URLs below are taken from the current tool registry; they are not generic links to another website.
Use binary, decimal and hexadecimal representations together to understand common number-system conversions.
/number-base-converter.phpConvert a binary number to its decimal value with a clear explanation of positional weights.
/binary-to-decimal-converter.phpConvert positive integers and supported fractional values from decimal notation to binary.
/decimal-to-binary-converter.phpConvert binary numbers to hexadecimal notation and group bits into four-bit hexadecimal digits.
/binary-to-hexadecimal-converter.phpConvert hexadecimal values to binary and display the four-bit representation of each hexadecimal digit.
/hexadecimal-to-binary-converter.phpConvert hexadecimal integers to decimal and explain the positional value of each hexadecimal digit.
/hexadecimal-to-decimal-converter.phpConvert octal numbers to binary by mapping each octal digit to its three-bit representation.
/octal-to-binary-converter.phpConvert binary numbers to octal by grouping bits into three-bit groups.
/binary-to-octal-converter.phpInterpret fixed-width binary values as signed two’s-complement integers and calculate their decimal values.
/binary-to-signed-integer-converter.phpInspect IEEE 754 binary32 and binary64 floating-point representations, including sign, exponent, significand and special values.
/ieee-754-converter.phpConvert decimal numbers to fixed-point binary representations using configurable integer and fractional bit widths.
/fixed-point-converter.phpCompare big-endian and little-endian byte order for hexadecimal values and supported byte widths.
/endianness-converter.phpAdd two or more binary numbers step by step and view the result in binary notation.
/binary-addition-calculator.phpSubtract binary numbers and show borrowing steps alongside the final binary result.
/binary-subtraction-calculator.phpMultiply binary numbers and display partial products and the final result.
/binary-multiplication-calculator.phpDivide binary numbers and calculate the quotient and remainder with step-by-step working.
/binary-division-calculator.phpCalculate two’s complement for a chosen bit width and explore signed binary number representation.
/twos-complement-calculator.phpCalculate the one’s complement of a binary number by inverting each bit at a specified bit width.
/ones-complement-calculator.phpPerform bitwise AND, OR, XOR, NOT, shifts and other supported operations on integer values.
/bitwise-operations-calculator.phpSet, clear, toggle and test individual bits in integer values and inspect binary and hexadecimal results.
/bit-mask-calculator.phpExplore floating-point addition through significand alignment, binary addition, normalization and rounding.
/binary-floating-point-addition-calculator.phpAdd Binary-Coded Decimal values and demonstrate the correction steps used in BCD arithmetic.
/bcd-adder-calculator.phpCalculate sum and carry outputs for half adders and full adders and inspect their truth tables and logic equations.
/full-adder-calculator.phpCalculate integer powers using exponentiation by squaring and display the repeated-squaring steps.
/binary-exponentiation-calculator.phpAccess the existing encoding utility collection for text, ASCII, hexadecimal and binary data.
/encoding-tools.phpConvert ASCII text to hexadecimal and decode hexadecimal values into supported text characters.
/ascii-hex-converter.phpConvert between text, hexadecimal, binary and decimal representations.
/ascii-hex-binary-decimal-converter.phpEncode text as UTF-8 bytes and display each byte in binary representation.
/utf8-to-binary-converter.phpEncode binary data or supported byte input as Base64 for data-transfer and developer workflows.
/binary-to-base64-converter.phpEncode each decimal digit using its four-bit Binary-Coded Decimal representation.
/decimal-to-bcd-converter.phpDecode Binary-Coded Decimal digits into decimal notation and identify invalid digit groups.
/bcd-to-decimal-converter.phpConvert binary values to Gray code and show the bitwise conversion process.
/binary-to-gray-code-converter.phpConvert Gray code values to binary numbers using cumulative XOR logic.
/gray-code-to-binary-converter.phpGenerate n-bit Gray code sequences and inspect adjacent codes and their differing bit positions.
/gray-code-sequence-generator.phpExplore ASCII characters alongside their decimal, hexadecimal, binary and character-code representations.
/ascii-table-explorer.phpLook up ASCII control characters, names, decimal values, hexadecimal codes and descriptions.
/ascii-control-character-reference.phpInspect uploaded files as byte sequences with hexadecimal and binary representations and file-size information.
/binary-file-inspector.phpGenerate CRC-8, CRC-16, CRC-32 and other supported cyclic redundancy checks from text, hexadecimal bytes or binary data.
/crc-generator.phpCalculate cyclic redundancy check values for input data using supported CRC variants and inspect the resulting checksum.
/crc-calculator.phpPerform polynomial division over GF(2) using binary generator polynomials and inspect the resulting remainder.
/crc-polynomial-calculator.phpGenerate supported checksums and hash digests from text or files to help verify data integrity.
/checksum-generator.phpCalculate supported checksums for binary data and inspect the result to help verify data integrity.
/binary-checksum-calculator.phpCalculate the parity bit required for even or odd parity and determine which bit to append to a binary data sequence.
/parity-bit-calculator.phpCheck binary data against even or odd parity rules and identify parity mismatches.
/parity-checker.phpGenerate Hamming codewords, calculate parity positions and demonstrate supported single-bit error detection and correction.
/hamming-code-calculator.phpCalculate the Hamming distance between equal-length binary strings or other supported sequences by counting differing positions.
/hamming-distance-calculator.phpCalculate the minimum number of insertions, deletions and substitutions needed to transform one string into another.
/edit-distance-calculator.phpGenerate linear-feedback shift register sequences from configurable initial states and supported feedback taps.
/lfsr-calculator.phpCalculate even or odd parity for individual bytes in a sequence and display the generated parity bits.
/byte-parity-generator.phpEvaluate supported Boolean expressions and perform logical operations on Boolean values.
/boolean-logic-calculator.phpSimplify supported Boolean expressions and display an equivalent expression using Boolean algebra rules.
/boolean-expression-simplifier.phpGenerate truth tables for supported Boolean and propositional logic expressions.
/truth-table-generator.phpExplore AND, OR, NOT, NAND, NOR, XOR and XNOR gates by changing inputs and observing outputs.
/logic-gate-simulator.phpMinimize Boolean functions using Karnaugh maps for supported variable counts and optional don’t-care conditions.
/karnaugh-map-solver.phpCalculate multiplexer and demultiplexer outputs for supported configurations using data and select inputs.
/multiplexer-demultiplexer-calculator.phpExplore encoder and decoder truth tables, binary output codes, decoded output lines and supported priority encoders.
/binary-encoder-decoder-calculator.phpExplore SR, JK, D and T flip-flops and supported latches using truth tables and next-state equations.
/flip-flop-calculator.phpBuild finite-state-machine transition tables from user-defined states, inputs and transitions, with optional binary state encoding.
/finite-state-machine-generator.phpCalculate IPv4 network details including subnet mask, network address, broadcast address and usable host range.
/ipv4-subnet-calculator.phpConvert IPv4 addresses into four binary octets and inspect their dotted-decimal and binary representations.
/ipv4-to-binary-converter.phpCalculate wildcard masks from IPv4 subnet masks and explain the inverse bit pattern used in network access-control lists.
/wildcard-mask-calculator.phpConvert IPv4 addresses to unsigned 32-bit integer values and convert supported integers back to IPv4 notation.
/ip-address-to-integer-converter.phpConvert bits to bytes and compare common data-size units using clearly labeled unit conventions.
/bits-to-bytes-converter.phpValidate binary strings, identify invalid characters, and report the length and counts of zeros and ones.
/binary-string-validator.phpCalculate the greatest common divisor of integers using the binary GCD algorithm, also known as Stein’s algorithm.
/binary-gcd-calculator.phpCalculate modular powers of integers using efficient modular exponentiation and inspect the result.
/modular-exponentiation-calculator.phpCalculate permutations and determine how many ways objects can be arranged when order matters.
/permutation-calculator.phpCalculate combinations and determine how many ways objects can be selected when order does not matter.
/combination-calculator.phpExplore recurrence relations by calculating sequence terms from an initial condition and a recurrence rule.
/recurrence-relation-calculator.phpApproximate roots of mathematical functions using the Newton-Raphson method and inspect iteration steps.
/newton_raphson_calculator.phpCalculate Shannon entropy from symbol probabilities or a data distribution to measure uncertainty and information content.
/shannon_entropy_calculator.phpSearch the directory by tool name or subject and filter by category. Entries that have a matching current tool registry record are clickable and open the corresponding PHP page. Other entries are presented as planned or informational topics, not as fake links.
Try another search phrase or choose a different category.
The planned directory describes possible additions, not a promise that every item is already online or will be released on a particular date.
Expand number-base conversions, binary arithmetic, text encoding, and data-format utilities.
Develop truth-table tools, Boolean expression utilities, gate simulators, and circuit visualizers.
Add exercises, quizzes, puzzle generators, and step-by-step learning resources.
Explore digital electronics, formal logic, information theory, algorithms, and fuzzy systems.
If you find an error or want a specific calculator, use the contact method provided on the website and describe the input, expected output, and an example.
Our subject areas include binary number systems, binary code, Boolean algebra, logic gates, truth tables, digital circuits, fuzzy logic, formal and modal logic, deductive reasoning, logic puzzles, information theory, networking basics, and computer science fundamentals.
We aim to make resources clear, useful, and accessible. Language-specific resources should provide genuinely helpful translations and examples rather than simply duplicating the same text.
It focuses on binary numbers, encoding, Boolean algebra, digital logic, data representation, and logical reasoning.
No. The current tools section and linked directory entries point to registered PHP URLs. Other entries are planned or informational topics and are not presented as working applications.
Click the tool title or its displayed PHP URL. Each registered tool links to its specific page.
The resources are intended for students, teachers, developers, electronics enthusiasts, and anyone who wants to understand binary systems and logic.
Yes. Use the contact method provided on the website and include the task you want to solve, the expected inputs and outputs, and a practical example.
Yes. Educational calculators can help with learning and checking work, but results should be independently verified when accuracy is critical.
Start with a binary number, explore a logic expression, or discover how digital systems turn simple rules into useful computations.
Visit Binarios.org