Bit Shift Calculator

Fixed width matters: bits shifted out are discarded. Arithmetic right uses signed two’s-complement interpretation; logical right fills with zeros.

Integer

Bit width

Operation

Amount

Before

—

After

—

—Unsigned

—Signed

—Hex pattern

—Set bits

ReadyLogical right fills with zero bits; arithmetic right copies the sign bit. Fixed-width left shifts discard bits beyond the selected register width.

Check the number representation

Keep number base, bit width, signedness and byte order explicit instead of letting one representation silently imply another.

ParseIdentify the input base or prefix before calculation.

RepresentCross-check binary, octal, decimal and hexadecimal views.

CalculateUse arithmetic or bitwise operations with exact integer scope.

Inspect bitsChoose width, signed interpretation, shifts and byte order explicitly.

Copy / verifyCopy only after checking the representation your code or protocol expects.

Base arithmetic Binary calc Hex calc Bitwise Signed/unsigned Two’s complement IEEE-754 Endian

All developer-number calculations run locally. Fixed-width tools model integer bit patterns, not language-specific undefined behavior, CPU flags, binary protocol schemas or floating-point reinterpretation unless a dedicated tool says so.

Bit Shift Calculator: Signed, Binary & Overflow Audit

Audit left, right and rotate operations with grouped binary, signed and unsigned values, masks and discarded-bit evidence.

Binary grouping

Fixed representations, explicit assumptions

Logical and arithmetic right shifts are different operations. The selected bit width controls sign interpretation and which shifted-out bits are discarded.

Browser-local integer math

Compare left shift, logical right shift, arithmetic right shift and bit rotation at explicit 8/16/32/64-bit widths. Inputs are processed locally with BigInt where integer precision matters.

Practical guide and verification

Use the product workflow above first. These notes add interpretation, verification and limits without displacing the inputs, results or visual review.

Fix the integer width before interpreting the bits

The same bit pattern can mean different values under 8, 16, 32 or 64-bit signed and unsigned interpretations. Choose the width first, then keep every result padded to that width so discarded high bits and sign bits are visible.

Logical and arithmetic right shift answer different questions

A logical right shift inserts zeroes from the left. An arithmetic right shift preserves the sign bit for a signed two’s-complement value. They match for many positive values but can diverge sharply for negative inputs.

Left shift can overflow the selected width

Within a fixed-width register, bits that move past the most-significant position are discarded. The familiar multiply-by-two rule only holds when the mathematical result still fits the chosen representation and the shift count is within the intended machine semantics.

Rotation is not multiplication or division

Rotate-left and rotate-right move shifted-out bits back into the opposite end of the word. That preserves the number of set bits but does not represent ordinary multiplication or division; rotations are common in hashes, ciphers and low-level bit mixing.

Verify in both binary and decimal

Write the padded input bits, apply the shift visually, then convert the resulting bit pattern back to decimal using the same signedness. Matching both views is a useful cross-check when debugging masks, flags, packed fields or protocol values.