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What is **138 in binary**? Below we show you the result of the decimal to binary conversion straightaway 🙂

**138**

Decimal 138 = 10001010 Binary

_{10}= 10001010_{2}Decimal 138 = 10001010 Binary

Any integer can be written as sum of potencies to the power of 2, known as binary code.

Here’s the proof that 10001010 is the correct result:

1×2^7 + 0x2^6 + 0x2^5 + 0x2^4 + 1×2^3 + 0x2^2 + 1×2^1 + 0x2^0 = 138

Yet, make sure to learn about 138 in binary

*signed*in the next section.

If you like to know the base-2 numeric system equivalent for any other decimal please use our converter above.

Similar conversions on this web site include:

## Convert 138 to Binary

Now you already know the most important thing:

10001010_{10} equals 138_{2} if unsigned.

The reason to have the binary signed is to accommodate for negative numbers, in which case the sign bit is 1 in our example.

Therefore, minus 138 signed using two’s complement, will start with one or more 1’s, but the exact code for -138 decimal depends on the signed number representation system and number of bits available.

Here you can convert binary to decimal.

### Additional Information

If you like to know what decimal 138 is on other number systems, we have that too:

138 in Hexadecimal = 8A_{16}

138 in Octal = 212_{8}

## Summary

138 in binary form is 10001010 usually, that is if not signed.

If you want to know more about signed number representations look it up on Wikipedia for example.

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– Article written by Mark, last updated on December 19th, 2023