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Hex Calculator

Hex Logical Shift Calculator

Logically shift a hex value left or right, always filling vacated bits with 0 — the shift mode for treating a value as unsigned.

Bit width
Result
0x08
Swapnil Sanghvi

Built by

Swapnil Sanghvi

Full-Stack Web Developer & WordPress Developer

Swapnil Sanghvi is a full-stack web and WordPress developer, UI designer, and full-time freelancer who builds and maintains Hex Calculator.

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Further reading: Bitwise operation — Wikipedia

How Logical Shift Works

Every bit moves left or right by the shift amount, and vacated bits are always filled with 0 — there's no sign-bit consideration. This is the natural choice when the value represents an unsigned quantity rather than a signed integer.

Logical Shift Example, Step by Step

0x80 >>> 4 (logical, 8-bit) = 0x08

0x80 >>> 4 = 0x08

1000 0000  (0x80)
  >>>4, zero-fill
-----------
0000 1000  (0x08)
StepDescriptionResult
Shift right by 41000 moves into the low nibble____1000
Fill vacated high bits with 0regardless of the original sign bit00001000
Resultno sign-bit consideration applied0x08

Compare this to arithmetic right shift of the same value — 0x80 >> 4 (arithmetic) gives 0xF8, since arithmetic shift would have filled with 1s instead of 0s.

Where Logical Shift Actually Comes Up

Dividing an Unsigned Byte Count or Address

Logical right shift is the correct choice for unsigned quantities like memory addresses, sizes, or counts, where there's no sign to preserve and zero-fill is exactly what's wanted.

byteCount >>> 1 halves an unsigned count

Extracting Raw Bits From a Hash or Checksum

Hash and checksum algorithms often treat their internal state as a plain unsigned bit pattern — logical shifts are used throughout since there's no signed interpretation involved.

hash >>> 16 extracts the upper half

Implementing Unsigned Division by a Power of Two

In languages without a native unsigned type (or when working with a value you've deliberately decided to treat as unsigned), logical shift gives the mathematically correct division result.

unsignedValue >>> 3 divides by 8

Why Use This Calculator Instead of Doing It by Hand

  • Covers both left and right logical shift in one tool
  • Supports 8/16/32/64-bit widths
  • Runs entirely in your browser — nothing you type gets sent anywhere
  • Makes the zero-fill behavior explicit, avoiding confusion with arithmetic shift

Limitations

  • Bits shifted off the end are discarded, not wrapped — use the Rotate calculators if you need wraparound instead.
  • Shift amount must be less than the selected bit width.

Frequently Asked Questions

What makes a shift "logical" specifically?

Logical shift always fills vacated bits with 0, regardless of the value's sign — it treats the bit pattern as a plain unsigned number rather than preserving any signed interpretation.

Is logical left shift different from plain left shift?

No — left shift is always logical (0-fill); the logical/arithmetic distinction only matters for right shift, where the two modes can produce different results for values with the sign bit set.

When should I use logical shift instead of arithmetic shift?

When the value represents an unsigned quantity — a byte count, a bitmask, an address — where there's no sign to preserve and you want vacated bits to simply be 0.

Which shift operator is logical in JavaScript and Java?

>>> is explicitly logical (zero-fill) right shift in both languages, while plain >> is arithmetic (sign-preserving) — a distinction those two languages make explicit in their syntax that many other languages don't.