Bit Multiplier Calculator

How to Use the Calculator

1. Enter the first binary number in the "Binary Number 1" field (e.g., 1011). Only 0 and 1 are allowed.
2. Enter the second binary number in the "Binary Number 2" field (e.g., 1101). Only 0 and 1 are allowed.
3. Click the "Calculate" button to perform the multiplication.
4. The result will be displayed in three formats:
• Binary (base 2)
• Decimal (base 10)
• Hexadecimal (base 16)

Working Principle

This calculator performs binary multiplication by converting the input binary numbers to decimal, multiplying them, and then converting the result back to binary and hexadecimal formats.

For example, if you enter 1011 (binary) and 1101 (binary):

1011 (binary) = 11 (decimal)
1101 (binary) = 13 (decimal)
Result (decimal) = 11 × 13 = 143 (decimal)
Result (binary) = 10001111 (binary)
Result (hexadecimal) = 8F (hex)

Binary Multiplication Basics

Binary multiplication works similarly to decimal multiplication but is simpler since each digit can only be 0 or 1. The process involves shifting and adding partial products.

Examples

Example 1: 101 × 10 = 1010
Example 2: 111 × 101 = 10011
Example 3: 1001 × 1101 = 11001001