Bitwise Shift Operation Calculator

Input Value

Input Base

Bit Width

Shift Direction

Shift Count

Right Shift Mode

Reset

Formula Used

Bitwise shifting moves binary digits left or right within a selected width. The calculator evaluates the pattern using these rules:

Left Shift: R = (U × 2^n) mod 2^w
Logical Right Shift: R = floor(U / 2^n)
Arithmetic Right Shift: R = signed(U) >> n

Here, U is the unsigned bit pattern, n is the shift count, and w is the selected bit width.

How to Use This Calculator

Enter an integer in decimal, binary, octal, or hexadecimal form.
Select the input base that matches your entered value.
Choose the working width: 8-bit, 16-bit, or 32-bit.
Select left shift or right shift.
Enter the number of positions to move the bits.
For right shifts, choose logical or arithmetic mode.
Press Calculate Shift to view the result above the form.
Review the result table, graph, binary patterns, and export buttons.

Example Data Table

Input	Base	Width	Operation	Shift	Result	Binary Result
13	Decimal	8-bit	Left Shift	2	52	0011 0100
240	Decimal	8-bit	Logical Right Shift	3	30	0001 1110
0xF2	Hexadecimal	8-bit	Arithmetic Right Shift	2	-4 signed / 252 unsigned	1111 1100
101101	Binary	8-bit	Left Shift	1	90	0101 1010

Frequently Asked Questions

1. What is a bitwise shift operation?

A bitwise shift moves every binary digit left or right by a chosen number of positions. It changes the stored pattern and usually changes the decimal value too.

2. What does left shift usually mean mathematically?

For values that stay within the selected width, a left shift by n is similar to multiplying by 2^n. Overflowed bits are dropped.

3. What is the difference between logical and arithmetic right shift?

Logical right shift fills new left bits with zero. Arithmetic right shift repeats the sign bit, which helps preserve signed number behavior for negative values.

4. Why does bit width matter?

Bit width decides how many bits are kept. Any extra higher bits are discarded, and the same pattern can represent different signed values in different widths.

5. Can this calculator handle negative numbers?

Yes. Negative decimal inputs are supported. The calculator converts them into the selected width, then shows both signed and unsigned interpretations after shifting.

6. What happens if the shift count is very large?

If the shift count reaches or exceeds the selected width, the result becomes zero for left and logical right shifts. Arithmetic right shift becomes all zeros or all ones.

7. Why are both signed and unsigned results shown?

The same bit pattern can mean different decimal values. Showing both views makes the result clearer, especially when the sign bit is turned on.

8. What can I export from this page?

After calculation, you can download a CSV summary for spreadsheets and a PDF summary for sharing, printing, or keeping as a quick reference.