So if 111 = 7, each column except the furthest right is a value of 2? Like, furthest right is 1s, and then moving left is 2s, 4s, 8s, and then....? Does the value of the rows double as you progress left? Would 16s be next, and then 32s?
Would 111111 = 63?
Computers don't use the ten digits of the decimal system for counting and arithmetic. Their CPU and memory are made up of millions of tiny switches that can be either ON or OFF. Two digits, 0 and 1, can be used to stand for the two states of ON and OFF. So we can see that computers could work with a number system based on two digits.
Okay! See, THIS makes sense!
So if 111 = 7, each column except the furthest right is a value of 2? Like, furthest right is 1s, and then moving left is 2s, 4s, 8s, and then....? Does the value of the rows double as you progress left? Would 16s be next, and then 32s?
Exactly.
So, 111111 = 63?
So, 111111 = 63?
Yep.
Weird. But kind of elegant, too.
By George, I think she's got it!
They do double as you move along, and they double because it's base two, and each column is raised to the power of the base.
So the decimal columns are one, ten, a hundred, etc. The octal columns are one, eight, sixty four, etc...
Dude. Tep, you're mathier than I am. I didn't get it until you explained it, though the egg crates and I were getting there.
YAY! I figured out my lab report! I'm not sure it's right, but at least I got the damn program to work!
