Feb 11, 2016 · So basically we have a number 10101...10101 10101...10101 that contains 2016 2016 zeros and can be written as ∑2016 k=0 100k ∑ k = 0 2016 100 k . I want to prove that …

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 · The number 1(01)n 1 (01) n is (100n+1 − 1)/(100 − 1) (100 n + 1 1) / (100 1) by thinking of the number as a geometric series. The numerator factors as (10n+1 + 1)(10n+1 − …

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

Jun 7, 2016 · 2 ababab a b a b a b is a multiple of 10101 10101, which in turn is a multiple of 13 13.

Oct 4, 2022 · I would like to know what is the sixth value of n n so that an a n is a prime number (I checked that n> 10101 n> 10101), and whether there exists an infinite number of prime …

Dec 9, 2018 · Let's say An A n is the number of binary string that has length n n and does not contain the substring 101. Calculate An A n for n = 1, 2 ⋯ 8. n = 1, 2 8. Find a recurrence …

Aug 25, 2016 · Everything is binary, leftshift of 10101 10101 denoted as l(10101) = 101010 l (10101) = 101010, note that 10 ∗ x = l(x) 10 ∗ x = l (x). The basic idea is that you split one of …

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 …

Jun 26, 2012 · Given a number, there is an algorithm described here to find it's sum and number of factors. For example, let us take the number $1225$ : It's factors are $1, 5, 7, 25, 35, 49, …