Left Shift Calculator
Calculate left bit shift operations instantly. Enter a binary or decimal number, choose the number of positions to shift, and get the result in binary, decimal, and hexadecimal formats.
Binary Result: -
Decimal Result: -
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How Left Shift Works
A left shift operation moves all binary bits to the left by a specified number of positions. Each shift position multiplies the value by 2, as long as no bits are lost.
Example:
Original: 00101010 Left Shift 1: 01010100
Moving bits one position left is equivalent to multiplying the number by 2.
Left Shift Formula
Number << n = Number × 2ⁿ
For example, shifting 5 left by 3 positions:
5 << 3 5 × 2³ 5 × 8 = 40
Common Uses of Left Shift
- Fast multiplication by powers of two in programming.
- Creating binary masks.
- Managing hardware registers.
- Embedded systems and microcontroller programming.
- Low-level computer operations.
Frequently Asked Questions
A left shift moves binary bits toward the left side and fills the empty positions with zeros.
A one-bit left shift usually doubles the value because every bit moves to the next higher position.
Most programming languages support left shift operations, but behavior can vary with data type size and signed number handling.
Left shifts are used in system programming, digital electronics, embedded systems, and performance-focused code.