# Binary multiplier

## World's simplest binary tool

Free online binary product calculator. Just load your binary values and they will automatically get multiplied together. There are no ads, popups or nonsense, just an awesome binary multiplier. Load binary values – get binary product. Created for developers by developers from team Browserling.

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Binary multiplier tool
What is a binary multiplier?

This tool calculates the product of binary numbers. It supports arbitrary many binary numbers as input and they can be of arbitrary length. The input list of numbers can be entered as a column of text (one number per line) but the list format can be configured by adjusting the split character. To avoid a zero product if any of the input values are zero, you can use the option than skips all 0s in the binary list. You can also improve the output product format. Namely, you can enable padding to expand the output to the necessary length, you can add a binary base indicator (such as b, 0b, or ₂), and show the number in base 10. If you want to follow the multiplication process, use the "Follow Multiplication" option, which will display partial products of the input numbers. Simple and easy!

Binary multiplier examples
Click to use

Multiply Two Binary Numbers

This example multiplies a pair of binary numbers (ten and five) and you get their product as the result (fifty). To indicate that it's a binary number, it adds an uppercase postfix "B" at the end of the product.

1010
0101

110010B

**Required options**

Split input binary numbers
by this character.

Extend the result to this length
using zero-padding.

If this option is enabled, then
also print the numbers
in decimal base 10.

Print intermediate results as
the product is calculated.

Multiply Many Binary Numbers

This example computes the binary product of many binary numbers of different lengths. Because one of the numbers is zero (5th number), the result should be zero, but because we have activated the option "Ignore Zeros" only the non-zero values are used in the calculation. The result of multiplication is a huge 27-bit binary number. As we have no idea what this number is, we also enabled "Show Decimal" option that shows it in the decimal base.

0000011
0100111
1
10100110100111
000
111111

100101011110100101101101101 (78596973)

**Required options**

Split input binary numbers
by this character.

Skip all zero factors in the input.

Extend the result to this length
using zero-padding.

If this option is enabled, then
also print the numbers
in decimal base 10.

Print intermediate results as
the product is calculated.

Running Multiplication

This example multiplies the binary number 101011 by 100 (four), 1000 (eight), 100000 (sixteen), and 100000 (thirty-two). As each of these multipliers is a power of two, the entire multiplication is effectively a consecutive left-shift operation by two, three, four, and five positions. Left-shifts can be summed and converted into a single left-shift by 14 positions. To clearly see each step of multiplication/shifting we activated the "Follow Multiplication" option and set zero-padding to 20 symbols. We also set the list split character to a space as all the input numbers are separated by spaces.

101011 100 1000 10000 100000

0b00000000000000101011
0b00000000000010101100
0b00000000010101100000
0b00000101011000000000
0b10101100000000000000

**Required options**

Split input binary numbers
by this character.

Extend the result to this length
using zero-padding.

If this option is enabled, then
also print the numbers
in decimal base 10.

Print intermediate results as
the product is calculated.

Pro tips
Master online binary tools

You can pass input to this tool via

__?input__query argument and it will automatically compute output. Here's how to type it in your browser's address bar. Click to try!
https://onlinebinarytools.com/multiply-binary-numbers

__?input__=1010%0A0101&input-separator=%5Cn&padding-length=0&prefix=postfix-b-uc&running-product=false&show-decimal=false
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Quickly shift bits of a binary number to the left.

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Analyze Binary Data

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