Shift Binary Right Online - Logical and Arithmetic Right Shifter

What Is a Bitwise Right Shift?

A bitwise right shift is an operation that shifts all bits of a binary number to the right by a specified number of positions. As the bits move right, the least significant bits (LSB) on the right end "fall off" and are discarded, while empty spaces are created at the left end. How these empty spaces are filled depends on whether you perform a Logical Right Shift or an Arithmetic Right Shift.

Logical vs Arithmetic Right Shifts

Understanding the difference between these two right shift operations is essential for assembly and digital design engineers:

Logical Right Shift (SHR): Fills all vacant spaces on the left with 0, regardless of the value of the original number. This is used for unsigned binary numbers.
Arithmetic Right Shift (SAR): Fills all vacant spaces on the left with a copy of the original sign bit (the most significant bit, or MSB). If the MSB was 1 (negative in two's complement notation), it fills with 1; if the MSB was 0 (positive), it fills with 0. This preserves the numeric sign of signed integers.

Mathematical Division Shortcut

In programming, shifting an integer right by 1 position is equivalent to integer division by 2:

X >> N = floor(X / 2^N)

Frequently Asked Questions

When should I use an arithmetic right shift?

Use an arithmetic shift when working with signed binary values represented in Two's Complement. The replication of the sign bit ensures that negative values remain negative after the division-by-two operation.

What happens to the bits that fall off the right side?

Bits shifted out of the right side are dropped and discarded. In a standard processor, the last bit shifted out is typically stored in the Carry flag.

Does the tool support negative inputs and prefixes?

Yes. Any standard binary digits (0 and 1) are accepted. Optional prefixes like 0b or 0B are handled safely and can be re-appended to the output if desired.

How does the tool handle very large binary inputs?

The tool utilizes JavaScript's BigInt parsing and high-performance string manipulation entirely in the browser, allowing you to shift binary sequences of virtually any length without precision loss.