# Fast Decimal to Binary Conversion

In two minutes try to convert these numbers from decimal to binary. The answers change every time!
01100100011001010111001101110100011100100110111101111001 011000010110110001101100 011010000111010101101101011000010110111001110011
Quiz idea: Jerry928
Quiz by Quizmaster
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Last updated: June 19, 2017
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 First submitted June 19, 2017 Times taken 30,394 Average score 60.0% Rating 4.55
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 Decimal Binary 9 1001 19 10011 27 11011 8 1000 45 101101
 Decimal Binary 26 11010 1 1 33 100001 22 10110 4 100
 Decimal Binary 10 1010 15 1111 5 101 14 1110 2 10
 Decimal Binary 53 110101 52 110100 20 10100 3 11 23 10111
+20
Level 91
Jun 19, 2017
I haven't a notion how to do this!!! 😂
+27
Level 72
Jun 19, 2017
Example: 57

Step 1 - find the biggest power of 2 less than the number. In this case, 32. Type 1.

Step 2 - subtract it from the number (57 - 32 = 25). Is the next smaller power of 2 less than or equal to that number? (is 16 < 25?) If so, type 1. If not, type 0. In this case, we type 1, and our answer so far is 11.

Step 3 - repeat for successively smaller powers of 2 until you reach 1.

25 - 16 = 9. Next smaller power of 2 is 8. Is 8< 9? yes. Type another 1. 9 - 8 = 1. Next smaller power of 2 is 4. Is 4 less than 1? no. Type 0. Is 2 less than 1? No. Type 0. Is 1 less than/equal to 1? Yes. Type 1. Full answer: 111001

+2
Level 78
Jun 20, 2017
Each digit is a multiple of 2. Starting with the right most digit, you have 2^0, 2^1, 2^2, 2^3, 2^4 and so on and so forth which gives you a numerical value of 1, 2, 4, 8, 16, etc. You then add them up to get the number you need. So for example, 10111 is actually equal to 2^4+2^2+2^1+2^0 (2^3 is not included because there is a zero in that spot). Then just add them up. 16+4+2+1 = 23. For me, it's way easier to work backwards and convert binary to numerical numbers since I don't regularly work with binary so this was particularly challenging for me.
+1
Level 60
Oct 4, 2017
Should Step 1 say "less than or equal to"? Your method, as written, doesn't work for numbers like 8.
+3
Level 73
Oct 4, 2017
Thanks! No idea how to do this at first, now just got 5 points
+1
Level 69
Oct 4, 2017
Thanks indeed kaiadam, that helped me a lot.
+1
Level 20
Feb 24, 2021
cool
+2
Level 56
Mar 4, 2022
Could you dumb it down a little?
+1
Level 20
Feb 24, 2021
neither
+1
Level 49
Sep 13, 2022
Find a decimal to binary converter online.
+1
Level 76
Jun 19, 2017
Are the 1's and 0's in the instructions some sort of coded message?
+1
Level 63
Jun 19, 2017
Copy and paste it here to find out.
+2
Level 76
Jun 20, 2017
A human wrote that ?!
+28
Level ∞
Oct 4, 2017
I'm not sure where it came from. My computer started making a weird buzzing noise and then those numbers appeared on the screen.
+14
Level 90
Oct 4, 2017
Three billion human lives ended on October 4, 2017. The survivors of the nuclear fire... called the war "Judgment Day." They lived only to face a new nightmare... the war against the machines.
+4
Level 60
Oct 19, 2018
Is this... lore?
+2
Level 58
Mar 3, 2021
Terminator reference detected
+1
Level 56
Sep 13, 2022
@LudwigVonKoopa or Futurama
+1
Level 28
May 11, 2020
it means DESTROY ALL HUMANS
+4
Level 75
Jun 20, 2017
This is a Reverse Turing Test: can a man or woman be taken for a robot?
+1
Level 81
Sep 13, 2022
My “friends” in high school certainly seemed to think so.
+1
Level 65
Jun 21, 2017
100%, but I think the randomisation was in my favor.
+4
Level 71
Jun 22, 2017
My robot ancestry came in handy here!
+5
Level 42
Oct 4, 2017
destroyallhumans<3
+2
Level 79
Apr 8, 2021
Dest Royal Humans??
+34
Level 75
Oct 4, 2017
There are 10 types of people in the world - those who understand binary and those who don't. (Somebody had to say it.)
+2
Level 78
Oct 4, 2017
Thank you.
+11
Level 72
Oct 4, 2017
Nice!

There are two types of people in this world, those who can extrapolate from incomplete data.

+4
Level 62
Oct 4, 2017
I would suggest that 2 minutes is not long enough. Being 52 and the last binary maths conversion I studied was night on 40 years ago maybe an extra 60 or 90 seconds?
+1
Level 48
Oct 4, 2017
I second this! :)
+2
Level 65
Sep 13, 2022
23% of people got 100%, which is more than a lot of quizzes.
+1
Level 66
Oct 4, 2017
i got easy ones so maybe 15 or 30 more seconds
+1
Level 46
Oct 4, 2017
I ran out of time with 3 left. Also, what's wrong with humans?
+2
Level 79
Oct 4, 2017
I read the directions instructing me to convert the numbers. No! No, I won't do it and you can't make me..
+1
Level 53
Oct 4, 2017
Ooh, a good place to promote my own conversions quiz. If you like binary, give it a try...

https://www.jetpunk.com/user-quizzes/144821/number-conversions

+1
Level 74
Oct 5, 2017
I know how to do it, I'm just not fast enough. I remember in school they taught us by giving us little wooden blocks that were valued, and had representative sizes, of 1, 2, 4 etc. etc and that's how they taught us the binary system.

I thought originally that all computer programs were written in binary code.

+1
Level 65
Oct 6, 2017
Copy and paste the numbers from the introduction and you get 99% of the answers.
+1
Level 71
Jan 28, 2018
2 sec left
+1
Level 60
Oct 15, 2018
0100001001101001011011100110000101110010011110010010000001100101011000010111001101111001001011000010000001101000011000010110010000100000011101000110111100100000011011000110010101100001011100100110111000100000011001000110010101100011011010010110110101100001011011000010111000100000010010011000000001100101100100001000000110110001101001011010110110010100100000011101000110111100100000011100110110010101100101001000000110000100100000011100100110010101110110011001010111001001110011011001010010000001101111011001100010000001110100011010000110100101110011001000000111000101110101011010010111101000101110
+3
Level 75
Feb 5, 2019
Destroy all humans
+3
Level 85
Aug 16, 2019
Stop giving the machines ideas with your caveat...
+1
Level 25
Oct 16, 2019
01010100 01101000 01101001 01110011 00100000 01101001 01110011 00100000 01101110 01101111 01110100 00100000 01110010 01100101 01101100 01100101 01110110 01100001 01101110 01110100 00101110 00100000 00111011 00101001 00001101 00001010
+1
Level 56
Oct 20, 2019
Did it on my second try with 51 seconds left. Judging by some of the other comments here, that probably means I just failed the Turing Test.
+1
Level 33
Mar 29, 2020
01100100011001010111001101110100011100100110111101111001 011000010110110001101100 011010000111010101101101011000010110111001110011

Means destroy all humans

Also I’m 13 years old in grade 9 doing grade 10 math in Dawson City, Yukon, Canada

And I did this with 12 seconds to spare and I also haven’t done and binary at all for at least 3 years

+2
Level 56
Sep 13, 2022
And..?
+1
Level 46
May 9, 2020
01110100 01101000 01100101 00100000 01110100 01100101 01111000 01110100 00100000 01101101 01100101 01100001 01101110 01110011 00100000 01100100 01100101 01110011 01110100 01110010 01101111 01111001 01100001 01101100 01101100 01101000 01110101 01101101 01100001 01101110 01110011 00100000
+1
Level 39
Jul 1, 2020
7 seconds remaining first try!
+2
Level 60
Feb 11, 2021
01010111 01101000 01111001 00100000 01110111 01101111 01110101 01101100 01100100 00100000 01111001 01101111 01110101 00100000 01110011 01100001 01111001 00100000 01110011 01101111 01101101 01100101 01110100 01101000 01101001 01101110 01100111 00100000 01110011 01101111 00100000 01100011 01101111 01101110 01110100 01110010 01101111 01110110 01100101 01110010 01110011 01101001 01100001 01101100 00101100 00100000 01111001 01100101 01110100 00100000 01110011 01101111 00100000 01100010 01110010 01100001 01110110 01100101 00111111
+1
Level 60
Jan 18, 2022
All of them are phone numbers lol
+2
Level 81
May 6, 2021
Here is a grid to be used for all numbers up to 127 in base 10.

64 32 16 8 4 2 1

Under these numbers place a 1 for yes and a 0 for no. e.g:

if your base 10 number is 50

64 32 16 8 4 2 1

0 1 1 0 0 1 0 (32 + 16 + 2 = 50)

+1
Level 81
May 6, 2021
It's easier on paper, I promise, because the columns line up.
+3
Level 82
Sep 13, 2022
To translate 50 into binary:

6432168421
0110010(32 + 16 + 2 = 50)
+2
Level 37
Aug 2, 2021
I think there needs to be more time, I had 2 left (51 and 54) of which I had almost completed 51, but just ran out of time - I did the others quite quickly too, so I was shocked by how little time I had!
+1
Level 31
Sep 13, 2022
Could do them all quite easily, just need the time to work them out however
+2
Level 82
Sep 13, 2022
Well the title says "fast"...
+2
Level 56
Sep 13, 2022
Destroy all humans
+2
Level 63
Sep 14, 2022
Thank you Ander217 for stating the obvious and I quote "There are 10 types of people in the world - those who understand binary and those who don't. (Somebody had to say it.)"
+2
Level 66
Sep 15, 2022
I learned binary in my computer class in 9th grade

i'm a sophomore now and i cant remember it at all Imao

+1
Level 68
Feb 2, 2024
01001001 00100111 01101101 00100000 01100111 01101100 01100001 01100100 00100000 01101101 01111001 00100000 01110100 01100101 01100001 01100011 01101000 01100101 01110010 00100000 01110100 01100001 01110101 01100111 01101000 01110100 00100000 01110101 01110011 00100000 01101000 01101111 01110111 00100000 01110100 01101111 00100000 01100100 01101111 00100000 01110100 01101000 01101001 01110011 00100000 01100001 00100000 01100110 01100101 01110111 00100000 01111001 01100101 01100001 01110010 01110011 00100000 01100010 01100001 01100011 01101011
+1
Level 71
Jun 8, 2024
I forgot how to do it, think we were shown it when I was 13 (don't think we were actually taught it, just a mention of it).

So I was happy to find in the comments the system it is based on. And managed to get 100% :) I wrote 1 2 4 8 16 32 in the search box (had no paper near me) because I have short term memory issuse (severely, when adding 15+8 when thinking of the 8 I may have forgotten the 15 already.. Didn't think I would make it!