Binary numbers form the basis of computing systems. Binary numbers contain only the digits 0 or 1, or bits, where each bit represents a power of two. To convert binary to decimal, multiply each bit by its corresponding power of two and add the results.. Created by Pamela Fox.
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- 5:21"It took us 8 bits to represent a number that only took 2 digits to represent in the decimal system."
01010101 Uses 8 bits, but I can make it with 7: 1010101.
So if we can add 0's in the front, then can't I just say,
"It took us 8 bits to represent a number  that takes a whole 10 digits to represent  in the decimal system."
It would be nice if the video at least pointed out that you could do it in 7... anyone with me?(15 votes)
- From the author:That's a really good point. YouTube doesn't make it particularly easy to edit videos, but I'll try to edit it if I get the chance. I very much agree.(18 votes)
- How many bytes does it take to equal one KB(1 vote)
- Why do they leave the 0 there, typically its not supposed to do that, like I wouldn't say 010, I would just say 10.(0 votes)
- Binary numbers are generally only used in the context of computers which use a fixed number of bytes/bits to represent numbers. For example, a computer may use 32 bits to represent the number 13 even though 13 would only need 4 bits. This leaves 28 preceding 0s in the binary representation of 13. So, in general, we are less concerned about getting rid of preceding 0s when we write out binary numbers.(10 votes)
- how can represent the number 10389810 in binary language(2 votes)
- How we can represent 53426 into binary numbers??(1 vote)
= 2^15 + 2^14 + 2^12 + 2^7 + 2^5 + 2^4 + 2^1
= 1*2^15 + 1*2^14 + 0*2^13 + 1*2^12 + 0*2^11 + 0*2^10 + 0*2^9 +
0*2^8 + 1*2^7 + 0*2^6 + 1*2^5 + 1*2^4 + 0*2^3 + 0*2^2 +
1*2^1 + 0*2^0
= 1101000010110010(1 vote)
- how do you figure out how many bytes does it take to equal one KB?(1 vote)
- If you're making a binary number can you just make them all ones? Like if I wrote "1 1 1 1" would that be equal to 20, or would that not work, the numbers need to be ones and zeros?(1 vote)
- A binary number can consist of entirely 1s, so 1111 is a valid binary number. (However, 1111 is not equal to 20; it equals 15.) In fact, any number equal to 2^x - 1 (for any positive integer x) will be entirely 1s when written in binary.(1 vote)
- How are negatives represented in the binary system? Does the negative symbol (and other symbols and special characters for that matter) have its own binary code?(0 votes)
- To write a negative number represented in binary, we simply write a negative sign in front of it, like normal. Of course, computers can only store 1s and 0s so they cannot store a negative sign. Instead, computers can either use a single bit to represent a positive/negative sign, or use 2's complement representations.(5 votes)