The Birthday is Represented as Binary Coded Decimal
Find a decimal number which can be represented with 1's only and no 0's in binary, and takes 4 bits in binary. In other words, if you convert that decimal number into binary, it cannot be like 10101 which does contain 0's. It should only contain a certain number of 1's.
Submit your answer as the sum of digits of the binary-coded decimal of that decimal number.
For binary-coded decimal, read the wiki Binary-Coded Decimal .
The answer is 3.
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1 solution
If We represent The numbers 8 to 15 in binary , we'll get the 4 bits of binary numbers. And 15 is the last number which can be represented by four "1" , in binary. And BCD or Binary -Coded Decimal is a special kind of representation of a decimal number in binary number . In Binary -Coded Decimal each individual digits of a number is converted into binary number and then by combining them all , The BCD code is generated. But always remember that a Binary -Coded Decimal in not a binary representation of a decimal number. The BCD or Binary -Coded Decimal of the number 15 is 00010101. The 0001 is the binary code of 1 and 0101 is the binary code of 5. So , The answer is 3 .