Hex Shift Calculator
Shift a hex value left or right by any amount, with logical and arithmetic right-shift modes and a bit-width selector.
Built by
Swapnil SanghviFull-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.
Further reading: Bitwise operation — Wikipedia
How Bit Shifting Works
Shifting moves every bit in a value a fixed number of positions left or right. Left shift always fills vacated bits with 0. Right shift has two variants: logical (fills with 0, for unsigned data) and arithmetic (fills with the sign bit, preserving a signed value's sign).
Shift Types at a Glance
| Shift type | 0x80 shifted by 1 (8-bit) | Fill bit |
|---|---|---|
| Left | 0x00 (bit shifted out) | 0 (always) |
| Right, logical | 0x40 | 0 (treats value as unsigned) |
| Right, arithmetic | 0xC0 | sign bit (1, since 0x80's sign bit is set) |
Where Hex Shift Actually Comes Up
Extracting a Bit Field From a Packed Register
Shifting a register right by a field's starting bit position, then masking, is the standard way to read out one field from a value that packs several fields into one register.
(reg >> 4) & 0x0F reads bits 4-7
Fast Multiplication or Division by a Power of Two
Left-shifting by n bits multiplies by 2ⁿ; logical right-shifting by n bits divides by 2ⁿ — a common low-level optimization when the divisor is a known power of two.
value << 3 is the same as value * 8
Preserving Sign When Halving a Signed Value
Arithmetic right shift keeps a negative number negative when repeatedly halved, unlike logical right shift, which would turn it into a large positive unsigned value instead.
-8 >> 1 (arithmetic) = -4, stays negative
Why Use This Calculator Instead of Doing It by Hand
- Covers all three shift types (left, right-logical, right-arithmetic) in one tool
- Supports 8/16/32/64-bit widths, since the fill bits depend on width
- Runs entirely in your browser — nothing you type gets sent anywhere
- Makes the logical-vs-arithmetic distinction visible instead of a silent source of bugs
Limitations
- Shift amount must be less than the selected bit width — shifting a value out entirely isn't computed as a special case beyond that limit.
- Bits shifted off the end are discarded, not wrapped — use the Rotate calculators if you need wraparound instead.
Frequently Asked Questions
What's the difference between left shift and right shift?
Left shift moves bits toward the more significant end, filling vacated low bits with 0 — it's equivalent to multiplying by 2 per position. Right shift moves bits the other way, toward the less significant end.
What's the difference between logical and arithmetic right shift?
Logical right shift fills vacated high bits with 0, treating the value as unsigned. Arithmetic right shift fills vacated high bits with a copy of the original sign bit, preserving the sign of a signed value.
Does left shift need a logical/arithmetic distinction too?
No — left shift always fills vacated low bits with 0 regardless of signedness, so there's only one kind of left shift, unlike right shift.
Is shifting the same as multiplying or dividing?
For unsigned values, yes — a left shift by n is the same as multiplying by 2ⁿ, and a logical right shift by n is the same as dividing by 2ⁿ and discarding the remainder.
What happens to bits shifted off the end?
They're simply discarded — this calculator doesn't wrap them around (that's what the Rotate calculators do instead).