Feb 11, 2016 · So basically we have a number $10101...10101$ that contains $2016$ zeros and can be written as$ \sum _ { k=0 }^ { 2016 } { 100^ { k } }$ . I want to prove that this number is …

The question is following subtraction, where the second term has to be transformed into it's two complement. 110000 - 10101 = twos complement of 10101 = 01011 This is the part where I'm …

Oct 27, 2017 · I have checked numbers of the form $101010101...$ up to $1(01)_{2500}$ and the only prime I found is 101. I found that numbers of such form are quite rich in number of distinct …

Jan 28, 2012 · Can someone verify my results? Binary to Octal 1) 10101.11 is 25.75 2) 0.01101 is 0.6875 3) 10110110.001 is 266.125

Jun 7, 2016 · 3 And not only that: Each such number is also divisible by the other primes 3, 7 and 37. Just factor the number 10101! Your specimen number is any 2-digit number $\times 10101\,$.

Nov 14, 2013 · Here's a fun little problem: Prove that the sequence $$10001, 100010001, 1000100010001, \\cdots$$ contains no prime numbers.

Jun 6, 2014 · Using binary arithmetic, a number y is computed by taking the n-bit two’s complement of x − c. If n is eleven, x = 101000010012 and c = 101012 then y =? How do we …

Aug 25, 2016 · Everything is binary, leftshift of $10101$ denoted as $l (10101) = 101010$, note that $10*x = l (x)$. The basic idea is that you split one of the numbers up and use the …

Feb 21, 2018 · In math, parity is whether an integer is even or odd. In computing, parity is whether the number of 1 bits in the binary representation of the integer is even or odd. For example, in …

Mar 9, 2017 · If you consider the (decimal) numbers 10, 101, 1010, 10101... where the 1 and 0 alternate, what is the largest prime number in the sequence? Thanks in advance for your help, …