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Hex Calculator

Hex notation alone does not determine signedness, width or endianness; choose those explicitly in the connected tools.

—Hexadecimal result
—Decimal
—Binary
—Hexadecimal
—Exact integer arithmetic using BigInt.

Fixed-width bitwise & signedness audit

Model register-style AND/OR/XOR/NOT/shifts at an explicit width while preserving the raw bit pattern.

—HEX
—Decimal interpretation
—Bits used
—Width audit

Representation is context

A hexadecimal or binary string does not automatically tell you whether a value is signed, how wide it is, whether bytes are little endian, or whether the bits represent an integer or floating-point value.

Practical guide and verification

Use the product first, then apply these tool-specific checks to verify assumptions, interpret the result, and hand it off safely without moving the primary workflow below generic content.

Bit width is part of the calculation

Arithmetic on unlimited BigInt values and fixed-width register arithmetic are different models. A mask, NOT operation, signed interpretation, or overflow result is meaningless without a chosen width. Select 8, 16, 32, or 64 bits to match the protocol, register, file format, or programming type you are actually modeling.

Signedness changes interpretation, not the stored bits

For a fixed width, the same hexadecimal pattern can represent a large unsigned integer or a negative two’s-complement integer. Keep the raw bit pattern visible beside the signed or unsigned decimal interpretation. This prevents a display preference from being mistaken for a different underlying value.

Shifts need an explicit rule for negative values

Right shift can be arithmetic, which propagates the sign bit, or logical, which shifts in zeros. Languages and hardware differ in syntax and implicit conversions. Model the intended signedness and width first, then compare the aligned binary output so the bits that moved or were discarded are visible.

Treat overflow as evidence, not an automatic error

Fixed-width addition, subtraction, multiplication, and left shift can discard high bits. That wraparound is correct for many registers but wrong for arbitrary-precision math. Keep both the mathematical value and the masked register result when auditing code, and verify carry or overflow expectations against the specific CPU, language, or protocol semantics.

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