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Digital Literacy Computer Basics Computer Basics Binary

Marvel Tedyanto
Marvel Tedyanto
4,241 Points
Posted by Marvel Tedyanto
Marvel Tedyanto
4,241 Points

what number is represented by the byte 00000111

0

1 Answer

Steven Parker
Steven Parker
231,268 Points
Steven Parker
Steven Parker
231,268 Points

Here's one way 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 (:point_left: THIS WAY :point_left:). You'll get something like this, which is a horizontal version of the helper table shown in the quiz:

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. Like this:

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

So the value is ‍ 7 ‍.
Also, since zeros in front don't count you can skip them. So in this case we really only needed 3 columns.