document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174791>Question 174791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a telephone network is designed to carry N telephone calls simultaneously, then the number of switches needed per call must be at least log_2 N. If the network can carry 10,000 calls simultaneously, how many switches would be needed:<BR>\n" );
document.write( "a)	For one call?<BR>\n" );
document.write( "b)	For 10,000 simultaneous calls?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129879 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=129879\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a telephone network is designed to carry N telephone calls simultaneously, then the number of switches needed per call must be at least log_2 N. If the network can carry 10,000 calls simultaneously, how many switches would be needed:<BR>\n" );
document.write( "a)	For one call?<BR>\n" );
document.write( "log(base2) 1 = 0 switches.<BR>\n" );
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document.write( "b)	For 10,000 simultaneous<BR>\n" );
document.write( "log(base2) 10000 = log[10,000]/log[2} = 13.28<BR>\n" );
document.write( "Rounding up you get 14 switches.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );