Question

what is the decimal expansion of the integer that ( 101011111)2
as its binary expansion .

Answer 1

what is the decimal expansion of the integer that \[( 101011111)_{2}\]
as its binary expansion .

Answer 2

\[
(101011111)_2=\\1\times 2^7+0\times 2^6+1\times 2^5+0\times 2^4+1\times 2^3+1\times 2^2+1\times 2^1+1\times 2^0
\]

Answer 3

\[
=128 + 32+8+4+2+1
\]

Answer 4

Please check this link:
http://faculty.kutztown.edu/vasko/MAT125/Fall%202003%20slides/DISCRETE%20MATH%20rosen5th%2025.htm

Answer 5

\[=(351)_{10}=3\times10^2+5\times10^1+1\times10^0\]

Answer 6

\[2^{8} + 2^{6} + 2^{4} + 2^{3} + 2 + 1 = 351\]