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Consider the circuit in Fig.2.21 which has a four bit binary number   as input and a five bit binary number,   as output.
  • a)
    Binary to Hex conversion
  • b)
    Binary to BCD conversion
  • c)
    Binary to grey code conversion
  • d)
    Binary to radix-12 conversion
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider the circuit in Fig.2.21 which has a four bit binary number as...
Here ϕ means 0 (Can be noted from the figure itself. See d0).

Whenever, b2 = b3= 1, then only 0100 i.e., 4 is added to the given binary number. Let's write all possibilities for b.


Note that the last 4 combinations (1100, 1101, 1110, 1111) leads to b3 and as 1. So, in these combinations only  0010 will be added.b2 

1100 is 12 
1101 is 13 
1110 is 14 
1111 is 15 
in binary unsigned number system. 

1100+0100=10000. 
1101+0100=10001. and so on. 
This is conversion to radix 12.
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Consider the circuit in Fig.2.21 which has a four bit binary number as input and a five bit binary number, as output.a)Binary to Hex conversionb)Binary to BCD conversionc)Binary to grey code conversiond)Binary to radix-12 conversionCorrect answer is option 'D'. Can you explain this answer?
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