Binärrechner — Binär, Hexadezimal, Dezimal & Bitweise Rechnen

Binary Calculator

Guide

DEC MODE

HEX0

DEC0

OCT0

BIN0000 0000

BIT FLIPPER MATRIX (CLICK TO TOGGLE)64 BITS

Programmer Tape

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Click any history record to recall value

Dokumentation & Praxisleitfaden

Binärrechner — Binär, Hexadezimal, Dezimal & Bitweise Rechnen | Cruse

Programmierer-Rechner für Binär-, Hexadezimal-, Dezimal- und Oktalsysteme. Unterstützt arithmetische und bitweise Logikoperationen (AND, OR, XOR, NOT).

So verwenden Sie dieses Tool

Select Word Size & Signed Mode

Choose your architecture register width: 64-bit (QWORD), 32-bit (DWORD), 16-bit (WORD), or 8-bit (BYTE). Toggle Signed (Two’s complement) or Unsigned.

Choose Input Base & Type Numbers

Click HEX, DEC, OCT, or BIN to set the active entry mode. Keypad buttons automatically enable or disable based on the selected numeral base.

Perform Bitwise Math or Click Bits

Execute bitwise logic (AND, OR, XOR, NOT, LSH, RSH) or click directly on individual bits in the interactive bit-flipper matrix to toggle bits on the fly.

Technische Referenz & Spezifikationen

Parameter / Standard	Specification
Register Word Sizes	64-bit QWORD, 32-bit DWORD, 16-bit WORD, 8-bit BYTE
Numeral Bases Supported	Hexadecimal (Base 16), Decimal (Base 10), Octal (Base 8), Binary (Base 2)
Bitwise Logic Operations	AND, OR, XOR, NOT, Bit Clear, Two’s Complement Negation
Bit Shifting & Rotation	Left Shift (<<), Right Shift (>>), Rotate Left (ROL), Rotate Right (ROR)
Numeric Range (64-bit)	Unsigned: 0 to 18,446,744,073,709,551,615 \| Signed: -9.22 × 10¹⁸ to +9.22 × 10¹⁸
Interactive Bit Matrix	Direct clickable nibble-grouped bit flipper with instantaneous base synchrony
Computation Engine	Native JavaScript BigInt engine. Zero floating-point rounding or precision truncation.

Häufig gestellte Fragen

How does two’s complement signed representation work?

In two’s complement, the most significant bit (MSB) serves as the sign flag. If MSB is 0, the number is positive. If MSB is 1, the number represents a negative value equal to the inverted bits plus 1. This allows digital CPU circuits to execute addition and subtraction with identical hardware logic.

Why does the keypad disable certain letters or numbers when I switch modes?

Each numeral base only allows valid digits in that radix. Binary (Base 2) only accepts 0 and 1. Octal (Base 8) accepts 0 through 7. Decimal (Base 10) accepts 0 through 9. Hexadecimal (Base 16) accepts 0 through 9 and A through F. Invalid keys are automatically disabled to prevent formatting syntax errors.

Can I flip individual bits on the screen?

Yes! The interactive bit matrix below the displays shows every bit organized into 4-bit nibbles and 8-bit bytes. Simply click on any 0 or 1 bit to toggle it. All HEX, DEC, OCT, and BIN representations update instantaneously.

What is the difference between QWORD, DWORD, WORD, and BYTE?

These terms denote standard computer architecture word widths: BYTE is 8 bits (1 byte), WORD is 16 bits (2 bytes), DWORD (Double Word) is 32 bits (4 bytes), and QWORD (Quad Word) is 64 bits (8 bytes). Switching word size clamps and masks calculations to that specific hardware width.