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BCD code vs Excess-3 code-Difference between BCD code and Excess-3 code

This page on BCD code vs Excess-3 code describes basic difference between BCD code and Excess-3 code.

BCD stands for Binary Coded Decimal. Table-1 below mentions various BCD inputs and their corresponding Excess-3 code output. The table describes, input variables of BCD input are designated as A,B,C,D and variables of Excess-3 code are designated as W,X,Y and Z.

BCD vs Excess-3 code

Excess-3 code output is obtained by addition of 0011 to the BCD data input.
EXAMPLE:
BCD INPUT: 0000
Excess-3 code OUTPUT: 0011

Minimized boolean function of excess-3 code outputs are as follows:
Z = D'
Y = C*D + C'*D'
X = B'*C + B'*D + B*C'*D'
W = A + B*C + B*D



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