Shift Result
Calculator
Example Data Table
| Input | Width | Shift | Input Binary | Result Binary | Decimal Result |
|---|---|---|---|---|---|
| 240 | 8-bit | 4 | 1111 0000 | 0000 1111 | 15 |
| 0x80000000 | 32-bit | 1 | 1000 0000 0000 0000 0000 0000 0000 0000 | 0100 0000 0000 0000 0000 0000 0000 0000 | 1073741824 |
| 0b10101010 | 8-bit | 2 | 1010 1010 | 0010 1010 | 42 |
Formula Used
A logical right shift moves every bit to the right. Empty left positions are filled with zero. The selected bit width defines the mask.
normalized = input AND ((2 ^ width) - 1)
result = floor(normalized / (2 ^ shiftAmount))
If the shift amount is greater than or equal to the bit width, the result becomes zero. This tool also shows the bits removed from the right side.
How to Use This Calculator
Enter an integer in decimal, binary, octal, or hexadecimal form. Select the input base or use auto detect. Choose the bit width that matches your system or instruction set. Then enter the number of places to shift. Pick wrapping or strict overflow mode. Press the calculate button. The result appears above the form. You can export the current result as a CSV or PDF report.
Logical Right Shift Guide
What a Logical Shift Means
A logical right shift is a bit movement operation. It moves each bit toward the least significant side. The empty spaces on the left are filled with zeros. This makes it different from an arithmetic right shift. Arithmetic shifting may copy the sign bit. Logical shifting never copies the sign bit. It treats the pattern as unsigned data.
Why Bit Width Matters
Computers store values using fixed widths. Common sizes are 8, 16, 32, and 64 bits. The same number can look different under different widths. A mask limits the value to the chosen width. This calculator applies that mask before shifting. That makes the result easier to compare with processor behavior.
Using Bases Correctly
Binary is useful for direct bit inspection. Hexadecimal is shorter and common in debugging. Decimal is easier for arithmetic checks. The calculator accepts all three styles. It also accepts octal values. Auto detection reads common prefixes. Use 0b for binary. Use 0x for hexadecimal. Use 0o for octal.
Reading the Output
The result panel shows decimal, binary, and hexadecimal values. It also shows the original masked bit pattern. The lost bits field shows which right side bits were removed. Signed view is included for comparison only. The operation itself is still logical. This helps when testing flags, registers, hashes, encodings, and packed data.
When to Use It
Use this calculator for programming, digital logic, networking, cryptography practice, and exam preparation. It is helpful when checking register values. It also helps when learning how unsigned operations work. Export options make it simple to save examples. The table can support notes, lessons, and debugging records.
FAQs
What is a logical right shift?
A logical right shift moves bits to the right. It fills left side empty positions with zeros. It treats the value as an unsigned bit pattern.
How is it different from arithmetic right shift?
An arithmetic right shift may copy the sign bit. A logical right shift always inserts zeros from the left. This difference matters for negative values.
Why does bit width change the result?
Bit width controls the mask. The mask decides which bits are kept before shifting. Larger widths can preserve more of the original pattern.
Can I enter binary values?
Yes. You can enter binary values with a 0b prefix. You can also select binary as the input base from the base menu.
What happens when the shift is too large?
If the shift amount equals or exceeds the selected width, every bit is shifted out. The calculator returns zero for that case.
What does wrap mode do?
Wrap mode keeps only the bits that fit inside the selected width. It is useful for simulating fixed width unsigned storage.
What are shifted out bits?
Shifted out bits are the rightmost bits removed during the operation. They are not included in the final shifted result.
Can I export the calculation?
Yes. Use the CSV button for spreadsheet data. Use the PDF button for a clean report containing the current calculation details.