How the Left Shift Calculator Works

The left shift operation is a bitwise operation that shifts all the bits of a binary number to the left by a specified number of positions. This calculator allows you to perform this operation on both decimal and binary numbers.

Inputs:

Enter a Number: Input a decimal or binary number in the text field.

Shift Positions: Specify the number of positions by which you want to shift the bits of the number. The more positions you shift, the larger the number becomes.

How to calculate a left shift operation

The left shift is calculated by moving all bits of the number to the left by the specified number of positions and filling the rightmost positions with zeros.

Shifted Number = Number × 2^n

Where:

Number is the original decimal or binary number.
n is the number of positions to shift the number by.
2^n represents a shift multiplier, which is equivalent to multiplying the number by two raised to the power of the shift count.

The result will be shown in both binary and decimal formats.

Why Use Our Calculator?

Our Left Shift Calculator offers several advantages:

Accuracy: Provides precise results for both decimal and binary left shifts.
Ease of Use: Simple, intuitive interface with minimal input required.
Instant Results: Get the result in real-time with just a few clicks.

Examples of Left Shift Calculations

Here are a few examples of how our calculator can be used:

For Decimal Number 3:

The left shift operation can be calculated as follows:

1. The formula for left shift is:
   Shifted Number = Number × 2^n

2. For the decimal number 3, and shifting by 2 positions:
   - Original Number = 3
   - Shift Positions = 2

3. Calculation:
   Shifted Number = 3 × 2^2
   Shifted Number = 3 × 4
   Shifted Number = 12

4. Result:
   The left-shifted number in binary is 1100, and in decimal is 12.

For Binary Number 11:

The left shift operation can be calculated as follows:

1. The formula for left shift is:
   Shifted Number = Number × 2^n

2. For the binary number 11 (which is 3 in decimal), and shifting by 2 positions:
   - Original Number = 11 (binary)
   - Shift Positions = 2

3. Calculation:
   Shifted Number = 11 × 2^2
   Shifted Number = 11 × 4
   Shifted Number = 1100 (binary)

4. Result:
   The left-shifted number in binary is 1100, and in decimal is 12.

FAQs

Q: What is the left shift operation?

A: The left shift operation moves all the bits in a binary number to the left by a specified number of positions, filling the rightmost bits with zeros. This operation effectively multiplies the number by a power of 2.

Q: Can I use this calculator for both binary and decimal numbers?

A: Yes! The calculator allows you to input either a binary or a decimal number. It will then shift the bits to the left and display the result in both binary and decimal formats.

Q: How does the left shift operation affect the value of the number?

A: Each left shift by 1 position is equivalent to multiplying the number by 2. For example, shifting the number 3 by 2 positions results in 12 (since 3 × 2² = 12).

Q: What happens if I shift by 0 positions?

A: Shifting a number by 0 positions means the number remains unchanged, as no bits are moved.