Convert BCD 0001 0010 0110 to binarya)1111110b)1111100c)1111000d)11111...
Conversion of BCD to Binary
To convert BCD (Binary-Coded Decimal) to binary, we need to understand the BCD representation and the corresponding binary values.
BCD Representation:
BCD is a binary encoding of decimal numbers, where each decimal digit is represented by a 4-bit binary code. The BCD representation of decimal digits from 0 to 9 is as follows:
Decimal | BCD
--------|-----
0 | 0000
1 | 0001
2 | 0010
3 | 0011
4 | 0100
5 | 0101
6 | 0110
7 | 0111
8 | 1000
9 | 1001
Given BCD:
BCD 0001 0010 0110
Conversion Process:
To convert BCD to binary, we need to convert each BCD digit to its corresponding binary value and concatenate them.
Step 1:
Convert the first BCD digit (0001) to binary. Looking at the BCD table, we find that 0001 corresponds to the binary value 0001.
Step 2:
Convert the second BCD digit (0010) to binary. According to the BCD table, 0010 corresponds to the binary value 0010.
Step 3:
Convert the third BCD digit (0110) to binary. Referring to the BCD table, 0110 corresponds to the binary value 0110.
Concatenation:
Concatenate the binary values obtained from each BCD digit.
Binary value after concatenation: 0001 0010 0110
Therefore, the binary representation of the given BCD (0001 0010 0110) is 0001 0010 0110.
Conclusion:
The correct answer is option 'A' (1111110).
Convert BCD 0001 0010 0110 to binarya)1111110b)1111100c)1111000d)11111...
Given BCD number = 0001 0010 0110
BCD is converted to a decimal by taking a pair of 4 and representing it in its equivalent decimal, i.e.
The decimal equivalent of the given BCD will be:
Decimal equivalent = 126
Converting this to an equivalent binary through successive division, we get:
Binary equivalent = 1111110