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Allison Walker
17,137 PointsBinary: 00000010?
When the chart showing ones, twos, fours, etc was put up, this was the number at the top of the screen.
There are 8 places, but the chart had only 6 rows. So how do you figure this out?
2^0 = 1 = ones 2^1 = 2 = twos 2^2 = 4 = fours 2^3 = 8 = eighths 2^4 = 16 = sixteenths 2^5 = 32 = thirty-twos
1 Answer
Cena Mayo
55,236 PointsHi Allison,
Most simply, the 2s place in on (represented by the 1) , and off (zeros) everywhere else, so the decimal number= 2.
Here's another example: 0000 1010. You've got 1 in the 8s, and 1 in the 2s. 8+2 = 10.
To complete the chart, the remaining rows would be 2^6 = 64ths, and 2^7 = 128ths. Remember that for our purposes we're only counting from 0 - 255 in binary. It is, of course, possible to count higher than that, simply by adding leading bits (1 or 0). So if 255 = 1111 1111, 0001 0000 0000 = 256 because the 256th place has been added, and is on (1).
Does that help?
Best, Cena
Allison Walker
17,137 PointsAllison Walker
17,137 PointsHi, yes it does. I was confused between the mismatch between the rows of the chart and how many places were in the number - 6 rows, but 8 places.