A computer scientist creates a necklace to celebrate the birth of her daughter. The necklace encodes her daughter's birthday in binary using silver 1 and 0 beads.

The part of the necklace that encodes the day of the month is 11010.

What is the decimal equivalent of that binary number?

Question

A computer scientist creates a necklace to celebrate the birth of her daughter. The necklace encodes her daughter's birthday in binary using silver 1 and 0 beads.

The part of the necklace that encodes the day of the month is 11010.

What is the decimal equivalent of that binary number?

Florisalreadytaken · Answer

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Extrinix · Answer

The decimal equivalent of binary number 11010 is 26,

$decimal = n_1\times 2^0 + n_2\times 2^1 + n_3\times 2^2$ == etc
$decimal = 1\times 2^4 + 1\times 2^3 + 0\times 2^2 + 1\times 2^1 + 0\times 2^0$

0mega · Answer

@extrinix wrote:

The decimal equivalent of binary number 11010 is 26, $decimal = n_1\times 2^0 + n_2\times 2^1 + n_3\times 2^2$ == etc $decimal = 1\times 2^4 + 1\times 2^3 + 0\times 2^2 + 1\times 2^1 + 0\times 2^0$

Thank you Ext, hopefully this formula will help me solve the rest, thanks!

Extrinix · Answer

You're welcome, but thank Flor as well, their explanation is the same basically.

0mega · Answer

Thank you Flor as well, sorry bout forgettin' bout you

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