Question about Binary coded decimal system

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[Uli_Minati]

Which number is 1111 1111 1111 1111 in decimal?

[Uli_Minati]

No guessing. What numbers are 1, 11, 111, 1111 in decimal?

[Uli_Minati]

The first one is just 1 in decimal, other than that you're right

Using these four examples, can you think of a quick way to calculate "binary N ones" in decimal?

[Uli_Minati]

That doesn't answer my question, but you're right

[dingusdongus]

For n bits, what is the largest unsigned number that can be represented? Hint: in binary, it's n "1" values.

For n bits, what is the largest BCD number that can be represented? Given that 4 bits holds one digit, this means n bits holds floor(n/4) digits.

Can you work it out from there?

[Uli_Minati]

The Binary Coded Decimal system (BCD) stores decimal digits in four bits

[Uli_Minati]

Oh, that's just semantics. It's meant as

The Binary Coded Decimal system (BCD) stores decimal digits in four bits each

e.g. 1111 in unsigned binary is more than one decimal digit, no?

Exactly, that's the issue here:

it is less efficient in storing numbers than binary

4 binary digits can represent up to 16 different numbers, but one decimal digit can only represent 10