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Q: Determine the decimal value of the signed binary number 11101000 expressed in 1s complement?
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What does the word complement means in mathematics?

The "complement" of a number is another number in which each digit, when added to the corresponding digit in the original number, will add up to the largest digit of the base in which the number is expressed. That sounds far more complicated than it really is. It's easier to understand by working through it. For example, take the decimal number "1976". The complement of 1976 would be another number which, when added to 1976, gives you the value 9999. In other words, each digit, added to it's corresponding digit in the complement, should total 9. So the complement of 1976 would be 8023. Perhaps a better example would be the number 9876543210. It's complement would be 0123456789. If you add the two numbers together, you'd get 9999999999. It is important to note though, that the complement of a number will differ depending on the base number is expressed in. For example, take the number 100 in decimal. It's complement is 099. If we express that number in binary however: 1100100 it's complement would be: 0011011 which, converted back to decimal, gives us the value 27. In other words, the value of a number's complement depends on the base in which the number is expressed.


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What is 1's complement of decimal 10?

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What does complement means in vedic maths?

The term complement is not restricted to Vedic mathematics - it is a fairly common term. The complement of a number is another number in which each digit, when added to the corresponding digit in the original number, will give you a value exactly one less than the base in which the number is expressed.Most people tend to work in decimal though, and if you are strictly using decimal notation (as opposed to binary for example), then you can simplify that definition to say:The complement of a number is another number that, when added to the original, will have the same number of digits, and each one of them will be a "9".For example, the decimal complement of 12345 is 87654. If you add the two numbers together, you'll get 99999. Similarily, the decimal complement of 8675309 is 1324690.Note that the complementary value of a number will be entirely dependent on the base in which it's expressed. For example, in hexadecimal (base 16), the complement of the number 6 would be 9. In decimal on the other hand, it would be 3.