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Digital Electronics
NUMBER SYSTEM
BINARY CODES
TYPES OF BINARY CODES
BCD CODE
EFFICIENCY OF BCD
EXCESS-3 CODE
GRAY CODE
M out of N CODING SCHEME with EFFICIENCY
PARITY BIT
ERROR DETECTION by PARITY
QUESTION
HAMMING CODE (General form)
Relation of PARITY BIT with MESSAGE BITS
ILLUSTRATION-I
ILLUSTRATION-II
BOOLEAN ALGEBRA
K MAPS
COMBINATIONAL CKT
SEQUENTIAL CIRCUITS
TIMING CIRCUITS

 

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(102) numbers represented in BCD while 256(28) in Binary hence

Efficiency = (100/256)* 100 = 625/16%=39%

In general Efficiency (for 4n bit number) = (10n /24n)*100

 

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