Binary Numbers & Logic

Bit Shift Calculator

Shift a fixed-width word left, logically right, or arithmetically right.

Binary Numbers & Logic

Enter binary or code values

Deterministic local calculation with explicit word sizes and conventions
  1. 1EnterProvide the known values
  2. 2CalculateResults update automatically
  3. 3VerifyReview the details and units
Try an example

Prefixes 0b, 0o, and 0x are accepted where a field says “integer”. Underscores and visual spacing are ignored where appropriate. Your values stay in this browser.

Binary result

Enter valid values to see the result.

Your entries are calculated in this browser and are not submitted to 365CALCS.COM.

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Understand the subject

What does a bit shift do?

A shift moves bits left or right and fills or discards positions according to its declared rule.

Use it to inspect power-of-two scaling or fixed-width movement.

The rule

Read the representation exactly

See the structure

What the bits are doing

Worked interpretation

Read the result in context

left shift by k: bits move k places

Interpret with care

Important boundary

Logical and arithmetic right shifts differ for signed words.

For a small base-two example, use the Binary Calculator.

Quick guide

How to use this calculator

  1. Choose the direction, operation, representation, or parity convention when one is provided.
  2. Enter the labelled values and an explicit word size, base, polynomial, or encoding option where required.
  3. Read the primary result together with its alternate representations and stated convention.

Calculation method

Apply the declared binary rule

A left shift by n multiplies an unbounded unsigned value by 2^n; fixed width discards overflow bits.

The calculator validates every digit against its numeral base, keeps integer and bitwise work exact with arbitrary-precision integers, and limits fixed-width operations to the selected word.

Worked example

Worked binary example

00101100 shifted left by 2 becomes 10110000.

A left shift by n multiplies an unbounded unsigned value by 2^n; fixed width discards overflow bits.

Supported inputs

Precision and limits

Input interpretation

Binary-only fields accept 0 and 1. General integer fields accept decimal plus 0b, 0o, or 0x prefixes. Base conversion supports bases 2 through 36.

Word size and output

Most fixed-width tools support 1–256 bits. Results expose signedness, truncation, parity, or encoding conventions whenever those choices change the meaning.

Local privacy

Calculation runs in the browser. Entered text, bit patterns, code words, and numeric values are not sent to analytics or third parties.