**Q- Calculate the efficiency of BCD codes wrt Binary number representation for (a) 4-bit (b) 8-bit.**

**Ans: **(a) With 4-bits we have 10 numbers represented in BCD while 16 in Binary hence

Efficiency = (10/16)* 100 = **62.5%**

(b) With 8-bits 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**