Base 2 works like this: the first digit (from the right) is worth 1, next over is worth 2, next over is worth 4, and so on multiplying by 2 each time (Other bases work the same but multiply by whatever base it is, such as multiplying by 10 for base 10). So:
1=1
0=2
0=4
0=8
1=16
If it's a 1, you add it in, if it's a zero, you don't add it in. So, ignoring the zeros:
1=1
1=16
Add those up and get 17.
To convert the binary number 10001 into base 10, you need to multiply each digit by 2 raised to the power of its position from right to left, starting from 0. In this case, the calculation would be: (1 x 2^4) + (0 x 2^3) + (0 x 2^2) + (0 x 2^1) + (1 x 2^0) = 16 + 0 + 0 + 0 + 1 = 17. Therefore, the binary number 10001 is equal to the decimal number 17.
Oh honey, converting binary to decimal? Easy peasy lemon squeezy. Just take each digit in the binary number, multiply it by 2 to the power of its position from the right (starting at 0), and then add them all up. So for 10001 in binary, it's 1x2^4 + 0x2^3 + 0x2^2 + 0x2^1 + 1x2^0, which equals 16 + 1, giving you 17 in decimal. Voilà!
Oh, dude, converting binary to decimal? That's like basic math for computer nerds. So, you take each digit in the binary number, multiply it by 2 raised to the power of its position from the right (starting at 0), then add them all up. In this case, 12^4 + 02^3 + 02^2 + 02^1 + 1*2^0 = 16 + 1 = 17. So, 10001 in binary is 17 in decimal. Easy peasy!
( 1010 )2 = ( 10 )10
1101 base 2 is 13 in base 10. any windows calculator will compute that for you. just open the calculator through the start menu, then once its open, go to view, then click scientific. there you can type in numbers in base 2,8,10, and 16 and it will convert it for you. in base 10, every digit of the number represents a power of 10, the first few powers of ten are 1,10,100,1000,... this is very familiar. not so familiar are the first few powers of 2; 1,2,4,8,16,32,.... each digit represents one of those numbers. so in base 10, 1101 is the same as 1000 + 100 + 1, in base 2, 1101 is the same as 8 + 4 + 1. or 13 in base 10
.11 base 10 is approx (0.00011100001) base 2
Normally we use base 10 meaning 14 means 1 set of 10 plus 4. In binary we use a base 2 (0 and 1) instead. For example the base 10 number 2 would be represented in binary as 10. 3 would be represented as 11. 4 would be represented as 100 and so on. Applying this to 14 is simple if you know the basic concepts. 14 is equivalent to 1 set of 8 + 1 set of 4 + 1 set of 2. Therefore 14 is equivalent to 1110 in binary.
To multiply powers with the same base, you add the exponents. For example, 10^2 x 10^3 = 10^5. Similarly, to divide powers with the same base, you subtract the exponents. For example, 10^3 / 10^5 = 10^(-2).
To add these two binary numbers, we can first convert them to decimal. 111111 in base 2 is equal to 63 in base 10, and 10001 in base 2 is equal to 17 in base 10. Adding these two decimal numbers gives us 63 + 17 = 80 in base 10. Finally, we convert 80 back to binary to get the final answer, which is 1010000 in base 2.
in binary 10=2 101 =5 1010 = 10 2+5+10 =17 17 =10001 in binary 10001 is answer ^^
Multiply the base by square root of 10 to the 4th power then divide by 2! (factorial) times 10!
64.2510 = 64 + 1/4 = 26 + 2-2 = 1000000.01 in base 2.
Typically, the base is 10 unless indicated otherwise. A number written 10001 could be base 10 - or any other base. It's usually not necessary to indicate base 10, but you could write 1000110 If this were base 2, there should be a subscript 2: 100012 To be clear you may want to include the 10 810 = 10002 910 = 1003 1510 = F16
10001/999900
It's 10000 .Actually, that's true regardless of whatever base it's written in.
1. You have to know the base of the original number. 2. If the base of the original number is base 10, then you don't need to convert it to decimal because the original number is already a decimal number. This means the decimal numbering system is base 10 (i.e. it has 10 base digits-->0-9) 3. If the base of the original number is different than base 10, then you will need to use a mathematical conversion method (or a computer program/calculator) to convert the original number to decimal. For example: If the original number 1011 is a base 2 (binary) number, then you would use the following conversion method to convert it from base 2 to base 10: 1 * 2^0 = 1 * 1 = 1 1 * 2^1 = 1 * 2 = 2 0 * 2^2 = 0 * 4 = 0 1 * 2^3 = 1 * 8 = 8 Now add the right most column of numbers together (e.g.: 1+2+0+8=11). 11 is the decimal (base 10) equivalent to the original base 2 number 1011. Similar methods can be used to convert from other base numbering systems to decimal (e.g. base 5 to base 10)
Example: converting 51 from base 8 to base 10. Step 1: base 8 to base 2 Step 2 : base 2 to base 10 first we need convert base 8 to base 2 000 -> 0 001 -> 1 010 -> 2 011 -> 3 100 -> 4 101 -> 5 110 -> 6 111 -> 7 so 5 = 101 1 = 001 so 51 = 101001 now step 2. converting base 2 to base 10 1x25 + ox24 + 1x23+ 0x22 + 0x21 + 1x20 = 41 Answer : 41
17
Binary of 17 is 10001. 1710 = 10001 2 1810 = 100102
20002 and 0.5, or 10001 and 1 or 5000.5 and 2 etc