+0

# Convert 729 from base 10 to base 2.

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127
6

Convert 729 from base 10 to base 2.

May 1, 2020

#1
+1

Binary is fun.

 512 256 128 64 32 16 8 4 2 1 1 0 1 1 0 1 1 0 0 1

May 1, 2020
edited by Guest  May 1, 2020
edited by CentsLord  May 1, 2020
#2
+3

2^9  =  512

Subtract  this from  729  = 217

2^7 = 128

Subtract this from 217  =  89

2^6  =  64

Subtract this from  89  =  25

2^4  = 16

Subtract this from 25  = 9

2^3  =  8

Subtract this from 9  = 1

2^0  = 1

So  writing  backwards we have

Powers of 2       0 1 2  3  4   5  6  7  8  9

1 0 0  1  1   0  1 1   0  1

Reverse the part in red

72910 = 10110110012   May 1, 2020
#3
+1

Cool! I never knew there was a method to it - Always just used intuition :)

CentsLord  May 1, 2020
#4
+1

Actually, CentsLord....I seem to recall  that there is an easier way to do this, but I don't remember the exact method....   CPhill  May 1, 2020
#5
+1

I've seen the method CPhill used before...My maths teacher called it the "Greedy Method" which means that you take the highest power of 2 from the number and subtract. Then you subtract the largest power of two from that. So on and so forth...

I don't recall an easier method but I would like to learn it!

HELPMEEEEEEEEEEEEE  May 1, 2020
#6
+1

o _ O I have realized I've been doing that without realizing it! :D

CentsLord  May 2, 2020