Our Network


Coming Soon


Coming Later

Binary to Negabinary Converter

World's Simplest Binary Tool

Free online binary to negabinary converter. Just load your binary numbers and they will automatically get converted to base -2. There are no ads, popups or nonsense, just an awesome negabinary encoder. Load a binary – get a negabinary. Created for developers by developers from team Browserling.

Binary to Negabinary Converter

World's Simplest Binary Tool

Free online binary to negabinary converter. Just load your binary numbers and they will automatically get converted to base -2. There are no ads, popups or nonsense, just an awesome negabinary encoder. Load a binary – get a negabinary. Created for developers by developers from team Browserling.

Tool Options

Power Series

Expand the negabinary as a power series of -2.

Decimal Interpretation

Print the negabinary value in the decimal base 10.
Display decimal value works only when the Show Full Sum option is off.

What Is a Binary to Negabinary Converter?

This browser utility converts binary numbers to negabinary numbers. It takes a value in base 2 and returns this value in base -2. Let's review how to convert a base 10 number to the binary base. To find a decimal number's representations in a binary base, write it as a sum of powers of two and then copy the coefficients before the powers. The coefficients create the binary number. Let's do it for the number 6 as an example: 6 = 1×(-2)2 + 1×(-2)1 + 0×(-2)0. The coefficients are 110, therefore 610 = 1102. The negabinary numeral system uses the same sum formula to convert a number, except instead of powers of two, it's decomposed as powers of negative two. For the number 6, it looks like this: 6 = 1×(-2)4 + 1×(-2)3 + 0×(-2)2 + 1×(-2)1 + 0×(-2)0. Now, extracting the coefficients, we get 610 = 11010-2. The biggest advantage of the negabinary system is that it can express negative numbers without using a special sign bit or a special signed number representation, such as two's complement or offset binary (see encode negative binary tool). Base -2 uses the same decomposition formula. For example, -6 can be decomposed as 1×(-2)3 + 1×(-2)2 + 1×(-2)1 + 0×(-2)0 and from the coefficients we find that -610 = 1110-2. An interesting fact about the negabinary base is that positive numbers have an odd number of bits and negative ones have an even number of bits. This tool can also show the number representation formula in base -2 and print the decimal value next to the binary. To convert multiple numbers, enter each of them on a new line and use the "-" sign to work with negative binaries. Simple and easy!

What Is a Binary to Negabinary Converter?

This browser utility converts binary numbers to negabinary numbers. It takes a value in base 2 and returns this value in base -2. Let's review how to convert a base 10 number to the binary base. To find a decimal number's representations in a binary base, write it as a sum of powers of two and then copy the coefficients before the powers. The coefficients create the binary number. Let's do it for the number 6 as an example: 6 = 1×(-2)2 + 1×(-2)1 + 0×(-2)0. The coefficients are 110, therefore 610 = 1102. The negabinary numeral system uses the same sum formula to convert a number, except instead of powers of two, it's decomposed as powers of negative two. For the number 6, it looks like this: 6 = 1×(-2)4 + 1×(-2)3 + 0×(-2)2 + 1×(-2)1 + 0×(-2)0. Now, extracting the coefficients, we get 610 = 11010-2. The biggest advantage of the negabinary system is that it can express negative numbers without using a special sign bit or a special signed number representation, such as two's complement or offset binary (see encode negative binary tool). Base -2 uses the same decomposition formula. For example, -6 can be decomposed as 1×(-2)3 + 1×(-2)2 + 1×(-2)1 + 0×(-2)0 and from the coefficients we find that -610 = 1110-2. An interesting fact about the negabinary base is that positive numbers have an odd number of bits and negative ones have an even number of bits. This tool can also show the number representation formula in base -2 and print the decimal value next to the binary. To convert multiple numbers, enter each of them on a new line and use the "-" sign to work with negative binaries. Simple and easy!


Binary to Negabinary Converter Examples

Click to try!
click me

Negative and Positive Numbers

In this example, we convert four numbers from the binary base to the negabinary base. We also show their decimal values so that they were easier to understand. The second and fourth numbers in the input are negative because they start with the minus sign. In the output, there's no minus sign as it's not needed in the negabinary base because the base is made out of a sum of powers of -2 so the sign value is included in the base itself.

1001 -1101 11101 -111010001
11001 (9) 110111 (-13) 1101101 (29) 1001110011 (-465)
Required options
These options will be used automatically if you select this example.
Expand the negabinary as a power series of -2.
Print the negabinary value in the decimal base 10.
click me

Negabinary Sum

This example finds the representation formulas for six base -2 binaries and prints the full sums. Positive numbers have an odd number of addends in the sum and negative numbers have an even number of addends. This is simply because the largest power dominates the entire sum. If the number of terms is odd, then the top power is positive and the entire sum is positive, if the number of terms is an even number, then the top power is negative and the entire sum is negative.

1 -10 11 110 -1001 1111
1×(-2)⁰ 1×(-2)¹ + 0×(-2)⁰ 1×(-2)² + 1×(-2)¹ + 1×(-2)⁰ 1×(-2)⁴ + 1×(-2)³ + 0×(-2)² + 1×(-2)¹ + 0×(-2)⁰ 1×(-2)³ + 0×(-2)² + 1×(-2)¹ + 1×(-2)⁰ 1×(-2)⁴ + 0×(-2)³ + 0×(-2)² + 1×(-2)¹ + 1×(-2)⁰
Required options
These options will be used automatically if you select this example.
Expand the negabinary as a power series of -2.
Print the negabinary value in the decimal base 10.

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://onlinetools.com/binary/convert-binary-to-negabinary?input=1001%0A-1101%0A11101%0A-111010001&show-representation-sum=false&show-decimal=true

All Binary Tools

Didn't find the tool you were looking for? Let us know what tool we are missing and we'll build it!
Quickly convert ASCII characters to binary numbers.
Quickly convert binary numbers to ASCII characters.
Quickly convert UTF8 characters to binary bits.
Quickly convert binary bits to UTF8 characters.
Quickly generate random binary values.
Quickly create an image from a binary number.
Quickly convert binary numbers to octal numbers.
Quickly convert octal numbers to binary numbers.
Quickly convert binary numbers to decimal numbers.
Quickly convert decimal numbers to binary numbers.
Quickly convert binary numbers to hexadecimal numbers.
Quickly convert hexadecimal numbers to binary numbers.
Quickly convert octal values to BCD values.
Quickly convert BCD values to octal values.
Quickly convert decimal values to BCD values.
Quickly convert BCD values to decimal values.
Quickly convert hex values to BCD values.
Quickly convert BCD values to hex values.
Quickly convert an IP address to a binary IP address.
Quickly convert a binary IP address to a human readable IP.
Quickly convert an IPv6 address to a binary IPv6 address.
Quickly convert a binary IPv6 address to a human readable IPv6.
Quickly convert a string to binary values.
Quickly convert binary values to a string.
Quickly convert binary numbers to reflected binary numbers.
Quickly convert reflected binary numbers to binary numbers.
Quickly convert octal numbers to reflected binary numbers.
Quickly convert reflected binary numbers to octal numbers.
Quickly convert decimal numbers to reflected binary numbers.
Quickly convert reflected binary numbers to decimal numbers.
Quickly convert hexadecimal numbers to Gray code.
Quickly convert Gray code to hexadecimal numbers.
Quickly calculate the sum of a bunch of binary values.
Quickly calculate the difference of a bunch of binary values.
Quickly calculate the product of a bunch of binary values.
Quickly convert a negative number to a binary representation.
Quickly convert a negative binary number to a decimal number.
Quickly convert base 2 numbers to base -2.
Quickly calculate bitwise AND of a bunch of binary values.
Quickly calculate bitwise NAND of a bunch of binary values.
Quickly calculate bitwise OR of a bunch of binary values.
Quickly calculate bitwise NOR of a bunch of binary values.
Quickly calculate bitwise XOR of a bunch of binary values.
Quickly calculate bitwise XNOR of a bunch of binary values.
Quickly calculate bitwise NOT of a bunch of binary values.
Quickly find the number of high bits in binary values.
Quickly find the number of low bits in binary values.
Quickly invert bits of binary numbers.
Quickly reverse the order of bits in binary numbers.
Quickly convert plain text to binary values.
Quickly convert binary numbers to plain text.
Quickly randomize the order of bits in binary numbers.
Quickly rotate bits in binary numbers to the left or right.
Quickly shift bits of a binary number to the left.
Quickly shift bits of a binary number to the right.

Coming Soon

These binary tools are on the way!
Binary Editor

View and edit binary values in your browser.

Create a File from Binary Values

Convert binary numbers to a binary file.

Binary Dump a File

Create a binary dump of files in your browser.

Convert Binary to Ternary

Convert binary numbers to ternary numbers.

Convert Ternary to Binary

Convert ternary numbers to binary numbers.

Convert Binary to Arbitrary Base

Convert binary values to any base (up to base 64).

Convert Binary to Roman Number

Convert binary numbers to Roman numerals.

Convert Roman Number to Binary

Convert Roman numerals to binary values.

Add Binary Bits

Find the sum of set bits in binary numbers.

Swap Binary Bits

Swap pairs of adjacent bits in a binary number.

Generate a Binary Sequence

Create a list of increasing of decreasing binary numbers.

Generate an Alternating Binary Sequence

Create a binary number with alternating bits.

Generate Binary Choices

Create a list of all binary choices of a specific length.

Binary Sheffer Stroke

Calculate bitwise sheffer stroke operator of binary values.

Convert Binary to BCD

Encode every binary bit as a binary coded decimal.

Convert BCD to Binary

Decode binary coded decimals to binary bits.

Divide Binary Numbers

Perform division operation on several binary numbers.

Rotate a Binary Right

Rotate bits of a binary number to the right.

Rotate a Binary Left

Rotate bits of a binary number to the left.

Extract Bits from Binary Numbers

Extract n-th bit from a binary number.

Calculate Parity

Count parity of a binary number.

Convert EBCDIC to Binary

Convert EBCDIC characters to binary values.

Convert Binary to EBCDIC

Convert binary bits to EBCDIC symbols.

Swap Binary Endianness

Change endianness of a binary number.

Convert Little Endian Binary to Big Endian Binary

Convert a binary number from little endian to big endian.

Convert Big Endian Binary to Little Endian Binary

Convert a binary number from big endian to little endian.

Convert a Floating Point Number to Binary

Find the binary representation of a floating point number.

Convert a Binary Number to Floating Point

Decode a binary number to a floating point number.

Binarize an Image

Convert any image to binary colors.

Convert Binary Values to a Bitmap

Convert a binary string to a bitmap image.

Convert a Bitmap to Binary Numbers

Convert a bitmap image to zeros and ones.

Duplicate Bits in Bytes

Replace each bit with two bits in each byte.

Convert Bits to Bytes

Group bits together to create bytes.

Convert Bytes to Bits

Expand bytes into individual bits.

Split Binary Values

Split a binary number into smaller binary numbers.

Join Binary Values

Join multiple smaller binary numbers into a single binary.

Slice Binary Values

Extract a part of a binary number.

Replace Binary Values

Substitute ones and zeros with any other values.

Pad Binary Values

Add signed or unsigned padding to binary numbers.

Truncate Binary Values

Drop leading or trailing bits and make a binary value shorter.

Randomly Flip Binary Bits

Introduce random errors in binary values.

Color Binary Numbers

Print the same binary numbers in the same colors.

Color Binary Bits

Use two different colors for binary zeros and ones.

Compare Binary Streams

See the difference between two binary blobs of bytes.

Visualize Binary Operations

Create visualizations of and, or, xor, not binary ops.

Create a Binary ZigZag

Make binary bits go in a zigzag.

Create a Binary Spiral

Make binary bits go in a spiral.

Create a Binary Circle

Make binary bits go in a circle.

Create a Binary Square

Create a sqaure shape from binary bits.

Generate Random Bits

Create a sequence of random binary bits.

Generate Random Nibbles

Create a sequence of random binary nybbles.

Generate Random Bytes

Create a sequence of random binary octets.

Generate Random Words

Create a sequence of random binary words.

Generate Random Double Words

Create a sequence of random binary long words.

Generate Binary Look-and-Say

Create a look-and-say sequence in base-2.

RLE-encode a Binary Number

Apply run length encoding algorithm on a binary sequence.

RLE-decode a Binary Number

Decode a previously RLE-encoded binary sequence.

Spell a Binary Number

Spell a binary number in words.

Analyze Binary Data

Print statistics of the input binary values.


Subscribe!

Subscribe to our updates. We'll let you know when we release new tools, features, and organize online workshops.

Enter your email here


Feedback. We'd love to hear from you! 👋

Created with love by

We're Browserling — a friendly and fun cross-browser testing company powered by alien technology. At Browserling we love to make people's lives easier, so we created this collection of binary tools. Our tools have the simplest user interface that doesn't require advanced computer skills and they are used by millions of people every month. Our binary tools are actually powered by our programmer tools that we created over the last couple of years. Check them out!

49K
@browserling

Didn't find the tool you were looking for? Let us know what tool we are missing and we'll build it!