Math, asked by roshni00000, 11 months ago

: If a binary number has P zeroes at the end, show that the number
is divisible by 2 to the power P. Prove it.
plzzz
I need it very much. do not spam. and answer only if you know. it's from binary numerals​

Answers

Answered by prince870900
2

A number is divisible by $2^n$ if and only if the last ${n}$ digits of the number are divisible by $2^n$. Thus, in particular, a number is divisible by 2 if and only if its units digit is divisible by 2, i.e. if the number ends in 0, 2, 4, 6 or 8.

An understanding of basic modular arithmetic is necessary for this proof.

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