Binary Tools
Specialized calculators and converters designed specifically for base-2 binary strings. Perform carries, borrows, bit counts, Gray code generation, and binary fractional conversions with exact precision.
Binary Addition Calculator
Add two binary numbers with step-by-step column-by-column carry bits and sum bits.
Binary Subtraction Calculator
Subtract one binary number from another with column borrow tracking and Two’s Complement verification.
Binary Multiplication Calculator
Multiply binary numbers with partial products, shift-and-add rows, and step-by-step proofs.
Binary Division Calculator
Divide binary numbers with step-by-step long division, quotient, and remainder tracking.
Binary to Gray Code Converter
Convert natural binary numbers to reflected Gray code using bitwise shift and XOR logic.
Gray Code to Binary Converter
Convert reflected Gray code back to standard natural binary using sequential XOR cascade.
Binary to BCD Converter
Convert binary integers into 8421 Binary-Coded Decimal (BCD) 4-bit nibbles.
BCD to Binary Converter
Convert 8421 Binary-Coded Decimal (BCD) nibbles back to standard positional binary.
Binary to Excess-3 Converter
Convert binary numbers into Excess-3 (XS-3 / Stibitz) self-complementing code.
Excess-3 to Binary Converter
Convert Excess-3 (XS-3) code nibbles back into standard natural binary.
Binary Bit Calculator
Analyze binary strings: count set bits (Hamming weight), total length, leading/trailing zeros, and parity.
Binary Fraction Converter
Convert fractional binary numbers into decimal fractions and vice versa with negative powers of 2.
Binary Floating-Point Converter
Dissect real decimal numbers into binary floating-point scientific notation (significand and exponent).
Binary Number Validator
Verify if a string is a valid binary sequence and inspect character legality, length, and format.