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Each 1 gets its value from where it is in the sequence. From left to right, the value a 1 can have is 128,64,32,16,8,4,2,1. Get the value of each one and add it all up.

For example: 10001010 = 128+0+0+0+8+0+2+0 = 138.

That's how to convert binary into base 10.

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βˆ™ 13y ago
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βˆ™ 8y ago

Binary numbers start with a column with the value of 1 on the right side. The next column, to the left, has double the value (which is 2), the next left doubles again (which is 4), then 8, 16, 32, 64, 128 etc. The inclusion of a number 1 in a column means that the number should be included in the total. The inclusion of a zero in a column means that the number should not be counted. Using just this combination of 1s and 0s any number can be represented. For example...

1 = 1

2 = 10

3 = 11

4 = 100

10 = 1010

15 = 1111

65 = 1000001

To convert the numbers from binary to decimal you can simply use a calculator and starting at the right side of the binary number if the first digit is 1 then add 1 to your calculator. If it is zero don't add anything, move left to the next column, if there is a 1 in this column add 2 to your total on your calculator, if it is a zero don't add anything, continue doing this, doubling the value for each column and adding the number if there is a 1 and ignoring it if there is a zero. For example....

The binary number 1100, starting at the right has 0 in the 1 column, 0 in the 2 column, 1 in the 4 column and 1 in the 8 column, so you would ignore 1 and 2 and simply add 4 + 8, giving your a value of 12, which is correct.

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βˆ™ 13y ago

Binary is also known as base-2. It is a number system that uses only 2 digits: 0 and 1. You count the same way you normally would and use the next highest number you can make with just those two digits. ex: 0=0; 1=1; 2=10; 3=11; 4=100; 5=101; 6=110; 7=111; 8=1000 ect.

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βˆ™ 17y ago

Please visit the below link to learn http://www.rz.uni-hohenheim.de/hardware/basics/csc102/ch2.html

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Q: How do you convert decimal numbers to binary numbers?
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