Bit Shift Calculator

Bit Shift Calculator. Bit shifting moves the binary digits of a number left or right by a set number of positions — a low-level operation used in programming, digital electronics, and performance optimization. Enter your number and shift amount, then select your input base (decimal, binary, or hex), shift direction (left or right), and bit width to get the Result in Decimal, along with the binary and hexadecimal equivalents, the original binary representation, and the equivalent multiplication or division effect. Also try the calculate ADC Alias Nyquist Frequency.

Number *

Enter the number to shift

Shift Amount (bits) *

bits

Input Base *

Shift Direction *

Bit Width *

Results

Result (Decimal)

Result (Binary)

Result (Hexadecimal)

Original (Binary)

Multiplication Effect

What is a left bit shift operation?

A left bit shift (<<) moves all bits in a binary number to the left by a specified number of positions. Zeros are added on the right side, and bits that overflow are discarded. Each left shift by 1 position effectively multiplies the number by 2. See also our Hex to ASCII Converter.

What is a right bit shift operation?

A right bit shift (>>) moves all bits in a binary number to the right by a specified number of positions. The leftmost bits are filled with zeros (logical shift), and bits that fall off the right are discarded. Each right shift by 1 position effectively divides the number by 2.

Why use bit shifting instead of multiplication?

Bit shifting is much faster than multiplication or division operations because it's a basic CPU instruction. Left shifting by n positions multiplies by 2^n, and right shifting by n positions divides by 2^n, making it ideal for performance-critical applications.

What happens when bits are shifted out?

When bits are shifted beyond the bit width boundary, they are lost permanently. For example, in an 8-bit system, shifting 11111111 left by 1 position results in 11111110, where the leftmost 1 is discarded.

How do I calculate a left shift by 3 bits?

To left shift by 3 bits, move each bit 3 positions to the left and fill the rightmost 3 positions with zeros. For example: 5 (binary: 101) << 3 = 40 (binary: 101000). This multiplies the original number by 2^3 = 8.

What is the difference between different bit widths?

Bit width determines the maximum number that can be represented and affects overflow behavior. 8-bit can represent 0-255, 16-bit can represent 0-65535, and 32-bit can represent much larger numbers. Wider bit widths reduce the chance of overflow.

Does shifting always multiply or divide by 2?

Yes, for integer values. Left shifting by 1 position always multiplies by 2, and right shifting by 1 position always divides by 2 (rounded down). Shifting by n positions multiplies by 2^n or divides by 2^n respectively. You might also find our use the ADC Calculator useful.