Q Calculate the efficiency of BCD codes wrt Binary number representation for (a) 4bit (b) 8bit.
Ans: (a) With 4bits we have 10 numbers represented in BCD while 16 in Binary hence
Efficiency = (10/16)* 100 = 62.5%
(b) With 8bits we have 100(10^{2}) numbers represented in BCD while 256(2^{8}) in Binary hence
Efficiency = (100/256)* 100 = 625/16%=39%
In general Efficiency (for 4n bit number) = (10^{n} /2^{4n})*100
