document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191541>Question 1191541</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Convert the following:<BR>\n" );
document.write( "a. 9F2Ch to binary\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Can you please explainb to me the question step-by-step? Thank you!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823339 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=823339\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "I'm assuming you want to convert from the hexadecimal value of 9F2C to binary.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Recall that the base 16 hexadecimal system has these digits<BR>\n" );
document.write( "0,1,2,3,4,5,6,7,8,9<BR>\n" );
document.write( "A,B,C,D,E,F\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Where,<BR>\n" );
document.write( "A base 16 = 10 base 10 <BR>\n" );
document.write( "B base 16 = 11 base 10 <BR>\n" );
document.write( "C base 16 = 12 base 10 <BR>\n" );
document.write( "D base 16 = 13 base 10 <BR>\n" );
document.write( "E base 16 = 14 base 10 <BR>\n" );
document.write( "F base 16 = 15 base 10\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "As mentioned,  <BR>\n" );
document.write( "C base 16 = 12 base 10<BR>\n" );
document.write( "Then rewrite 12 as a sum of powers of 2. <BR>\n" );
document.write( "12 = 8+4<BR>\n" );
document.write( "12 = 2^3 + 2^2<BR>\n" );
document.write( "12 = <font color=red>1</font>*2^3 + <font color=red>1</font>*2^2 + <font color=red>0</font>*2^1 + <font color=red>0</font>*2^0<BR>\n" );
document.write( "The string of coefficients <font color=red>1, 1, 0, 0</font> in that order leads to the binary representation of 12 base 10 = <font color=red>1100</font> base 2.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "By extension,<BR>\n" );
document.write( "C base 16 = 12 base 10 = 1100 base 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Through similar logic,<BR>\n" );
document.write( "2 base 16 = 0010 base 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Combining those allows us to say:<BR>\n" );
document.write( "<font color=red>2</font><font color=blue>C</font> base 16 = <font color=red>0010</font>  <font color=blue>1100</font> base 2<BR>\n" );
document.write( "Take note of the color coding to see how the split happens.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Also,<BR>\n" );
document.write( "<font color=red>9</font><font color=blue>F</font> base 16 = <font color=red>1001</font>  <font color=blue>1111</font> base 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Therefore,<BR>\n" );
document.write( "<font color=red>9F</font><font color=blue>2C</font> base 16 = <font color=red>1001 1111</font>  <font color=blue>0010 1100</font> base 2<BR>\n" );
document.write( "I recommend you keep the spacing of 4 digits per group to make the binary number more readable.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A handy calculator to check your work<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.binaryhexconverter.com/hex-to-binary-converter\">https://www.binaryhexconverter.com/hex-to-binary-converter</a><BR>\n" );
document.write( "Click on the \"padding\" to have the digits space themselves out into groups of 4.<BR>\n" );
document.write( "You can also click on \"swap\" to convert the other way around (as another way to verify the answer).<BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );