Binary Multiplication Calculator
Multiply two binary numbers instantly with our Binary Multiplication Calculator. Enter binary values and get accurate binary, decimal, and hexadecimal results.
Binary Result: -
Decimal Result: -
Hex Result: -
How Binary Multiplication Works
Binary multiplication works similar to decimal multiplication, but it uses only two digits: 0 and 1. The multiplication process uses repeated addition and left shifting.
101
× 11
---------
101
+ 1010
---------
1111
Each time a binary digit is 1, the first number is added after shifting its position.
Binary Multiplication Rules
| Bit A | Bit B | Result |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
Step-by-Step Binary Multiplication Example
Multiply 1010 by 0011:
1010
× 0011
-------------
1010
+ 1010
-------------
11110
Decimal conversion:
1010₂ = 10₁₀ 0011₂ = 3₁₀ 10 × 3 = 30 11110₂ = 30₁₀
Common Uses of Binary Multiplication
- CPU arithmetic operations.
- Digital signal processing.
- Computer graphics calculations.
- Embedded system programming.
- Hardware multiplier circuits.
Frequently Asked Questions
Binary multiplication is the process of multiplying two binary numbers using binary arithmetic rules.
Binary multiplication uses repeated addition and shifting. Each 1 bit in the multiplier adds a shifted copy of the first number.
Yes. The calculator performs binary multiplication directly in your browser.
Binary multiplication is used in processors, electronics, programming, and digital computing systems.