document.write( "Question 1181401: Letter Z is 26 in base ten;decide Z in binary scale \n" ); document.write( "
Algebra.Com's Answer #811338 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "In general, to convert a number n in base 10 to another base b, repeatedly divide n by b and pick off the remainders, until the number left is 0. \n" ); document.write( "To convert 26 base 10 to base 2... \n" ); document.write( "26/2=13 remainder 0 \n" ); document.write( "13/2 = 6 remainder 1 \n" ); document.write( "6/2 = 3 remainder 0 \n" ); document.write( "3/2 = 1 remainder 1 \n" ); document.write( "1/2 = 0 remainder 1 \n" ); document.write( "Those remainders, written in reverse order, are the digits of the converted number in base 2. \n" ); document.write( "ANSWER: 26 (base 10) = 11010 (base 2) \n" ); document.write( "Here is another random example to help you understand the process: convert 417 base 10 to base 5: \n" ); document.write( "417/5 = 83 remainder 2 \n" ); document.write( "83/5 = 16 remainder 3 \n" ); document.write( "16/5 = 3 remainder 1 \n" ); document.write( "3/5 = 0 remainder 3 \n" ); document.write( "ANSWER: 417 (base 10) = 3132 (base 5) \n" ); document.write( "CHECK: 3132 (base 5) = 3(5^3)+1(5^2)+3(5^1)+2(5^0)=3(125)+1(25)+3(5)+2=375+25+15+2=417 \n" ); document.write( " \n" ); document.write( " |