document.write( "Question 856054: express the base 16 number 2AD in base 10 \n" ); document.write( "
Algebra.Com's Answer #515703 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Hexadecimal is base sixteen.\r\n" ); document.write( "\r\n" ); document.write( "Numbers spelled out in words are considered the same in any two bases.\r\n" ); document.write( "The digits are the same in two bases only up through the highest \r\n" ); document.write( "digit in the smaller base. \r\n" ); document.write( "\r\n" ); document.write( "0 in base ten = 0 in base sixteen\r\n" ); document.write( "1 in base ten = 1 in base sixteen\r\n" ); document.write( "2 in base ten = 2 in base sixteen\r\n" ); document.write( "3 in base ten = 3 in base sixteen\r\n" ); document.write( "4 in base ten = 4 in base sixteen\r\n" ); document.write( "5 in base ten = 5 in base sixteen\r\n" ); document.write( "6 in base ten = 6 in base sixteen\r\n" ); document.write( "7 in base ten = 7 in base sixteen\r\n" ); document.write( "8 in base ten = 8 in base sixteen\r\n" ); document.write( "9 in base ten = 9 in base sixteen\r\n" ); document.write( "10 in base ten = A in base sixteen\r\n" ); document.write( "11 in base ten = B in base sixteen\r\n" ); document.write( "12 in base ten = C in base sixteen\r\n" ); document.write( "13 in base ten = D in base sixteen\r\n" ); document.write( "14 in base ten = E in base sixteen\r\n" ); document.write( "15 in base ten = F in base sixteen\r\n" ); document.write( "\r\n" ); document.write( "Just as \r\n" ); document.write( "\r\n" ); document.write( "276 in base ten means 2×ten² + 7×ten + 6,\r\n" ); document.write( "\r\n" ); document.write( "2AD in base sixteen means 2×sixteen² + A×sixteen + D\r\n" ); document.write( "\r\n" ); document.write( "In base ten that's 2×16² + 10×16 + 13 = 2×256+160+13 = 512+160+13 = 685.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |