document.write( "Question 1029145: Find the base 8 representation of 1011101010101_2 \n" ); document.write( "
Algebra.Com's Answer #644193 by josmiceli(19441)![]() ![]() You can put this solution on YOUR website! 1011101010101 \n" ); document.write( "group this in groups of 3 starting \n" ); document.write( "at the right side \n" ); document.write( "1 011 101 010 101 \n" ); document.write( "Use place multipliers for \n" ); document.write( "each of the groups of 3 \n" ); document.write( "[ 2^2 , 2^1 , 2^0 ] \n" ); document.write( "1 3 5 2 5 \n" ); document.write( "This is the value in base 8 ( octal ) \n" ); document.write( "----------------------------- \n" ); document.write( "Prove it with easy example: \n" ); document.write( "1000100 \n" ); document.write( "1 0 4 in octal \n" ); document.write( "-------------- \n" ); document.write( "1*2^6 + 1*2^2 = 64 + 4 \n" ); document.write( "64+ 4 = 68 \n" ); document.write( "and \n" ); document.write( "1*8^2 + 4 = 64 + 4 \n" ); document.write( "64 + 4 = 68 \n" ); document.write( "OK \n" ); document.write( " |