Final answer:
The BCD number 0100 1000 0110 0111 converts to the binary representation 0100100001100111. Each group of four digits in BCD directly translates to the same group in binary, resulting in option a) being the correct answer.
Step-by-step explanation:
The student is asking to convert a Binary Coded Decimal (BCD) number to its binary representation. The BCD number provided is 0100 1000 0110 0111.
To find the binary representation, we will consider each of the BCD digit groupings and convert them to their respective binary equivalents. BCD numbers are represented by a group of four binary digits for each decimal digit.
- 0100 (BCD for 4) = 0100 (binary)
- 1000 (BCD for 8) = 1000 (binary)
- 0110 (BCD for 6) = 0110 (binary)
- 0111 (BCD for 7) = 0111 (binary)
Combining these binary equivalents gives the complete binary representation for the given BCD number:
0100 1000 0110 0111 (BCD) = 0100100001100111 (binary)
So, the correct answer is:
a) 0100100001100111