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Solved Examples · Example 4

Q.Find the 9's complement of (7825)BCD(7825)_{BCD}

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[!TLDR]

Subtract every digit of 7825 from 9 to get the 9's complement 2174.

The 9's complement of a decimal number is obtained by replacing each digit dd with 9−d9 - d; this is the basis of self-complementing codes, where interchanging the 1's and 0's of a BCD word directly produces the 9's complement of its digit.

Working digit by digit on 7825: …

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