Digital Electronics - Combinational Logic Circuits - Discussion

BCD(binary coded decimal).

0001 0010 0110 i.e 126
By using 8421.

64+32+16+8+4+2+1.
1 1 1 1 1 1 0 i.e 126,
So, the ans is 1111110.

HOW...???

0001 = 1
0010 = 2
0110 = 6
Then 0001 0010 0110 = 126
126 / 2 = 63 ...0
63 / 2 = 31 ...1
31 / 2 = 15 ...1
15 / 2 = 7 ...1
7 / 2 = 3 ...1
3 / 2 = 1 ...1
1 / 2 = 0 ...1

126 = 1111110

0001=1,0010=2,0110=6
we know 127 is represented by 1111111
(1000000 as 1-2-4-8-16-32-64-128)
then 126 is just a 1bit change from 127,ie.,1111110.

The BCD number is 0001=1, 0010=2, 0110=6

So that 126 and it convert in binary form 11111110 thats is required answer.

Converting given bcd to binary we get 126 and after converting that to binary we get 1111110 which is option a.

Its decimal equivalent will be 126 because
0001=1
0010=2
0110=6
then converting 126 into binary by successive division by 2,it yields 1111110 i.e. The required answer.

BCD to binary conversion is very simple.

0001 0010 0110 = 126.
126 is BCD code of the binary value.

To convert BCD to binary value 126 is div by 2.
Then we will get the answer like 1111110.

The equivalent decimal code is 126. Using successive divisions, you get 1111110. (base 2).

(NB: You write form the top to the button).

Thank you all.

Firstly convert the given BCD number into equivalent Decimal Number.

0001 0010 0110 = 126. Here each four bits are correspond to equivalent decimal number.

Think about the number 126. It was nearer to number 128.

128 = 2^7.

It means if you convert it to binary, it consists seven bits are zero '0' and '1' is the left most bit for decimal digit which is in 2^n form.

The equivalent binary number can be find like this only.

126 = 128-2.
(10000000-10) = 1111110.