Radix Complement Representation:
In the decimal number system, the radix complement is the 10’s complement. In radix complement representation system, the complement of an ndigit number is obtained by subtracting the number from 10_{n}.
Let us consider some examples of 3digit numbers and their radix complement in decimal system.
Decimal Number948 607 155 735 
Radix Complement52 393 845 265 
Therefore, the 10’s complement of the number N is obtained by subtracting each digit of the number from 9 and then adding 1 to the LSD of the number so formed.
For instance, the 10’s complement of 172 is (827 + 1) or 828 and that of 405 is (594 + 1) or 595.
For the binary number system the radix complement is the two’s complement. The 2’s complement of a binary number is obtained by subtracting each bit of the number from the radix diminished by 1 i.e. from (2  1) or 1 and adding an 1 to the LSB. The application of this rule is very simple. We have to just change 1 to 0 and 0 to 1 in every bit and then add 1 to the LSB of the number so formed. For example, the 2’s complement of the binary number 11011 is (00100 + 1) or 00101 and that of 10110 is (01001 + 1) or 01010.
If the number be in signed magnitude representation, it is positive if the MSB is 0 and negative if the MSB is 1. The decimal equivalent of a 2’s complement binary number, in the case of signedmagnitude representation, is computed in the same way as for an unsigned number except that the weight of the MSB is 2^{n1} instead of +2^{n1} for an nbit binary number.
Let us observe some examples of 8bit binary numbers and their 2’s complement are shown below:
Binary NumberSign bit 01101101Complement: 10010010 + 1 10010011 
Decimal equivalent+ 109 128 + 19 = 109 
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