9 in Binary

What is 9 in binary? Below we show you the result of the decimal to binary conversion straightaway :-)

Decimal:

Binary:

Reset

If you want to know how to convert the number please read the instructions on the homepage.

9₁₀ = 1001₂
Decimal 9 = 1001 Binary

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

Here’s the proof that 1001 is the correct result:

1×2^3 + 0x2^2 + 0x2^1 + 1×2^0 = 9

Yet, make sure to learn about 9 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:

• 14 in binary
• 15 in binary
• 16 in binary

Convert 9 to Binary

Now you already know the most important thing:

1001₁₀ equals 9₂ if unsigned.

If 9 in binary is signed such as with two’s complement, then the binary code has a number of trailing zeroes, e.g. 0001001 in which the leftmost bit is the sign bit, followed perhaps by more trailing 0’s, and then by magnitude bits.

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 9 signed using two’s complement, will start with one or more 1’s, but the exact code for -9 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 9 is on other number systems, we have that too:

9 in Hexadecimal = 9₁₆
9 in Octal = 11₈

Summary

9 in binary form is 1001 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