document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=270031>Question 270031</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Change the following base 10 numbers to their binary (base 2) equivalents.<BR>\n" );
document.write( "19 __________              39 ___________                 77 ___________ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197868 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=197868\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Keep dividing by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then read the remainders backwards<BR>\n" );
document.write( "starting with the final division<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%2F2+=+9 ALIGN=MIDDLE  ALT=\"19%2F2+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > remainder<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F2+=+4 ALIGN=MIDDLE  ALT=\"9%2F2+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > remainder<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F2+=+2 ALIGN=MIDDLE  ALT=\"4%2F2+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > remainder<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F2+=+1 ALIGN=MIDDLE  ALT=\"2%2F2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > remainder<BR>\n" );
document.write( "(Most significant bit)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10011 ALIGN=MIDDLE  ALT=\"10011\"   DISABLED_style= \"max-width:90%; height:auto;\" >(Least significant bit)<BR>\n" );
document.write( " base 2  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19 ALIGN=MIDDLE  ALT=\"19\"   DISABLED_style= \"max-width:90%; height:auto;\" > base 10<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "The values of the positions starting with smallest are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E0 ALIGN=MIDDLE  ALT=\"2%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E1 ALIGN=MIDDLE  ALT=\"2%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2 ALIGN=MIDDLE  ALT=\"2%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3 ALIGN=MIDDLE  ALT=\"2%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E4 ALIGN=MIDDLE  ALT=\"2%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "etc., and to read the base-2 number:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E0%2A1+%2B+2%5E1%2A1+%2B+2%5E2%2A0+%2B+2%5E3%2A0+%2B+2%5E4%2A1 ALIGN=MIDDLE  ALT=\"2%5E0%2A1+%2B+2%5E1%2A1+%2B+2%5E2%2A0+%2B+2%5E3%2A0+%2B+2%5E4%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%2B+2+%2B+0+%2B+0+%2B+16+=+19 ALIGN=MIDDLE  ALT=\"1+%2B+2+%2B+0+%2B+0+%2B+16+=+19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Here's some binary numbers:<BR>\n" );
document.write( "0000 zero<BR>\n" );
document.write( "0001 1<BR>\n" );
document.write( "0010 2<BR>\n" );
document.write( "0011 3<BR>\n" );
document.write( "0100 4<BR>\n" );
document.write( "0101 5<BR>\n" );
document.write( "0110 6<BR>\n" );
document.write( "0111 7<BR>\n" );
document.write( "1000 8<BR>\n" );
document.write( "Convert <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > to binary:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F2+=+4 ALIGN=MIDDLE  ALT=\"8%2F2+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > +0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F2+=+2 ALIGN=MIDDLE  ALT=\"4%2F2+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > +0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F2+=+1 ALIGN=MIDDLE  ALT=\"2%2F2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > +0<BR>\n" );
document.write( "Reading it backwards:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000 ALIGN=MIDDLE  ALT=\"1000\"   DISABLED_style= \"max-width:90%; height:auto;\" >base 2 = 8 base 10<BR>\n" );
document.write( "You can now do the rest of the problems\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );