Let us consider three input binary data, that three bits are considered as A, B, and C. If there is an even number of 1’s then only parity bit is added to make the binary code into an odd number of 1’s. This is the combinational circuit whose output is always dependent upon the given input data. The odd parity generator maintains the binary data in an odd number of 1’s, for example, the data taken is in even number of 1’s, this odd parity generator is going to maintain the data as an odd number of 1’s by adding the extra 1 to the even number of 1’s. In this way, the even parity generator generates an even number of 1’s by taking the input data. The even parity expression implemented by using two Ex-OR gates and the logic diagram of this even parity using the Ex-OR logic gate is shown below. The karnaugh map (k-map) simplification for three-bit input even parity is k-map-for-even-parity-generatorįrom the above even parity truth table, the parity bit simplified expression is written as 1 0 1 – This bit is already in even parity so even parity is taken as 0 to make the 1 0 1 code into even parity.ġ 1 0 – This bit is also in even parity so even parity is taken as 0 to make the 1 1 0 code into even parity.ġ 1 1 – This bit is in odd parity so even parity is taken as 1 to make the 1 1 1 code into even parity.
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