Welcome to the Treehouse Community
Want to collaborate on code errors? Have bugs you need feedback on? Looking for an extra set of eyes on your latest project? Get support with fellow developers, designers, and programmers of all backgrounds and skill levels here with the Treehouse Community!
Looking to learn something new?
Treehouse offers a seven day free trial for new students. Get access to thousands of hours of content and join thousands of Treehouse students and alumni in the community today.Start your free trial
Steven Parker227,126 Points
Here's a method to decode binary numbers.
Make a column for each digit, and starting from the right, put a "1" and then as you move left put double the value of the column next to it. Remember, right-to-left ( THIS WAY ). You'll get something like this, which is a horizontal version of the helper table shown in the quz:
128 64 32 16 8 4 2 1 <-- 8 columns for 8 digits
Then, put your binary number on the next line, spread into the columns. Now below that, multiply each top number by the binary digit and put the result below. It's easy, since binary digits are either 1 or 0, so you either put the number on top again or zero.
Then finally, add up all the numbers on the bottom row and that's your answer. Using
00000111 for an example:
128 64 32 16 8 4 2 1 <-- starting columns 0 0 0 0 0 1 1 1 <-- multiply by your binary digits --- --- --- --- --- --- --- --- 0 0 0 0 0 4 2 1 <-- add these up: 4 + 2 + 1 = 7
Also, since zeros in front don't count you can skip them. So in this case we really only needed 3 columns.
In this specific case,
00000011 has only the rightmost 2 digits set to 1, so the result is 3.
Žiga Pregelj18,126 Points
0000000011 is binary code for decimal number 3. You can check out how binary numbers translate to decimal numbers with this calculator here: