University of Guilan Journal of Algebra and Related Topics 2345-3931 9 2 2021 12 01 On solutions of the Diophantine equation $F_{n_{1}}+F_{n_{2}}+F_{n_{3}}+F_{n_{4}}=2^a$ 131 148 5322 10.22124/jart.2021.19294.1266 EN P. Tiebekabe Department of Mathematics and Computer Science, University of Cheikh Anta Diop, Dakar, Senegal. I. Diouf Department of Mathematics and Computer Science, University of Cheikh Anta Diop,, Dakar, Senegal. Journal Article 2021 04 05 Let $(F_n)_{n\geq 0}$ be the Fibonacci sequence given by $F_0 = 0, F_1 = 1$ and $F_{n+2} = F_{n+1}+F_n$ for $n \geq 0$. In this paper, we solve all powers of two which are sums of four Fibonacci numbers with a few exceptions that we characterize. https://jart.guilan.ac.ir/article_5322_4dbb7688267f38276f282624efaf9151.pdf