Hex Right Shift Calculator
Shift a hex value right by any amount, in either logical (zero-fill) or arithmetic (sign-preserving) mode, with the binary shift shown bit by bit.
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 Right Shift Works
Every bit moves toward the less significant end by the shift amount, and the bit shifted off the bottom is discarded. The vacated high bits get filled with either 0 (logical) or a copy of the sign bit (arithmetic) — this calculator lets you pick which.
Right Shift Example, Step by Step
0x80 >> 4 differs by mode: 0x08 (logical) vs. 0xF8 (arithmetic)
0x80 (10000000) shifted right 4
Logical: 1000 0000 -> 0000 1000 (0x08) Arithmetic: 1000 0000 -> 1111 1000 (0xF8)
| Step | Description | Result |
|---|---|---|
| Shift bits right by 4 | 1000 becomes the new low nibble either way | high nibble vacated |
| Logical: fill with 0 | 0000 goes in the vacated high nibble | 0x08 |
| Arithmetic: fill with the sign bit (1) | 1111 goes in the vacated high nibble | 0xF8 |
0x80's top bit is 1 (the sign bit at 8-bit width), which is why arithmetic and logical shift disagree here — for a value with a 0 sign bit, both modes give the identical result.
Where Hex Right Shift Actually Comes Up
Reading a Bit Field Out of a Packed Register
Shifting a register right by a field's starting bit, then masking off the higher bits, is the standard way to extract one field from a value that packs several fields together.
(reg >> 8) & 0xFF reads bits 8-15
Fast Unsigned Division by a Power of Two
Logical right shift by n bits divides an unsigned value by 2ⁿ, discarding the remainder — a common low-level optimization for a known power-of-two divisor.
value >>> 2 divides an unsigned value by 4
Halving a Signed Value While Preserving Its Sign
Arithmetic right shift keeps a negative number negative when repeatedly halved, which matters in signed integer math where logical shift would give the wrong sign.
-16 >> 1 (arithmetic) = -8
Why Use This Calculator Instead of Doing It by Hand
- Covers both logical and arithmetic modes side by side, making the difference visible
- Supports 8/16/32/64-bit widths, since the fill bits and their count depend on width
- Runs entirely in your browser — nothing you type gets sent anywhere
- Avoids the classic mistake of using the wrong shift mode for signed data
Limitations
- Bits shifted off the low end are discarded, not wrapped — use the Rotate Right calculator if you need wraparound instead.
- Shift amount must be less than the selected bit width.
Frequently Asked Questions
"Right shift" is ambiguous — which one does this calculator do?
Both — this calculator offers logical (zero-fill) and arithmetic (sign-preserving) right shift as separate modes, since the plain term "right shift" alone doesn't specify which one a particular language or context means.
Which right shift do most programming languages use by default?
It varies — C's >> on a signed int is typically arithmetic (implementation-defined, but arithmetic in practice on nearly all real compilers), while >>> in Java and JavaScript is explicitly logical, and plain >> in those languages is arithmetic.
Is logical right shift the same as dividing by 2?
For unsigned values, yes — logical right shift by n is the same as integer division by 2ⁿ. For signed negative values, arithmetic right shift rounds differently than division in some edge cases.
What happens to the bit shifted off the low end?
It's discarded — right shift doesn't wrap around; use the Rotate Right calculator if you need the shifted-out bit to reappear on the high end.