document.write( "Question 1192171: Name: MAT 145: Topics In Contemporary Math
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document.write( " Bases\r
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document.write( "Covert each of the following decimal numbers into the required bases.\r
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document.write( "6) 957, base 2\r
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document.write( "7) 576, base 2\r
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document.write( "8) 65, base 3\r
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document.write( "9) 5000, base 7\r
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document.write( "10) 900, base 6\r
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Algebra.Com's Answer #824072 by MathLover1(20850)![]() ![]() You can put this solution on YOUR website! Covert each of the following decimal numbers into the required bases. \n" ); document.write( "6) 957, base 2\r \n" ); document.write( "\n" ); document.write( "Decimal to base 2 calculation:\r \n" ); document.write( "\n" ); document.write( "Divide by the base to get the digits from the remainders:\r \n" ); document.write( "\n" ); document.write( "Division........ Quotient........ Remainder(Digit)........ Digit # \n" ); document.write( "957/2 .............478........................1..........................0 \n" ); document.write( "478/2 ..............239..................0........................ 1 \n" ); document.write( "239/2....................119.................1........................ 2 \n" ); document.write( "119/2.....................59....................1........................ 3 \n" ); document.write( "59/2.......................29.....................1........................ 4 \n" ); document.write( "29/2.....................14.....................1........................ 5 \n" ); document.write( "14/2........................ 7.......................0........................ 6 \n" ); document.write( "7/2........................ 3.......................1........................ 7 \n" ); document.write( "3/2........................ 1.......................1........................ 8 \n" ); document.write( "1/2........................ 0.......................1........................ 9\r \n" ); document.write( "\n" ); document.write( "= (1110111101)2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7) 576, base 2 \n" ); document.write( "Division........ Quotient........ Remainder(Digit)........ Digit # \n" ); document.write( "576/2....................288........................ 0........................ 0 \n" ); document.write( "288/2....................144........................ 0........................ 1 \n" ); document.write( "144/2...................72........................ 0........................ 2 \n" ); document.write( "72/2.....................36........................ 0........................ 3 \n" ); document.write( "36/2.....................18........................ 0........................4 \n" ); document.write( "18/2.....................9........................ 0........................ 5 \n" ); document.write( "9/2........................ 4........................ 1........................ 6 \n" ); document.write( "4/2........................ 2........................ 0........................ 7 \n" ); document.write( "2/2........................ 1........................ 0........................ 8 \n" ); document.write( "1/2........................ 0........................ 1........................ 9\r \n" ); document.write( "\n" ); document.write( "= (1001000000)2\r \n" ); document.write( "\n" ); document.write( "8) 65, base 3 \n" ); document.write( "Division........ Quotient........ Remainder(Digit)........ Digit # \n" ); document.write( "65/3........................ 21........................ 2........................ 0 \n" ); document.write( "21/3........................ 7........................ 0........................ 1 \n" ); document.write( "7/3........................ 2........................ 1........................ 2 \n" ); document.write( "2/3........................ 0........................ 2........................ 3\r \n" ); document.write( "\n" ); document.write( "= (2102)3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "9) 5000, base 7 \n" ); document.write( "Division........ Quotient........ Remainder(Digit)........ Digit #\r \n" ); document.write( "\n" ); document.write( "5000/7........................ 714........................ 2........................ 0 \n" ); document.write( "714/7........................ 102........................ 0........................ 1 \n" ); document.write( "102/7........................ 14........................ 4........................ 2 \n" ); document.write( "14/7........................ 2........................ 0........................ 3 \n" ); document.write( "2/7........................ 0........................ 2........................ 4\r \n" ); document.write( "\n" ); document.write( "= (20402)7\r \n" ); document.write( "\n" ); document.write( "10) 900, base 6\r \n" ); document.write( "\n" ); document.write( "Division........ Quotient........ Remainder(Digit)........ Digit #\r \n" ); document.write( "\n" ); document.write( "900/6 ........................150........................ 0........................ 0 \n" ); document.write( "150/6........................ 25........................ 0........................ 1 \n" ); document.write( "25/6........................ 4........................ 1........................ 2 \n" ); document.write( "4/6........................ 0........................ 4........................ 3\r \n" ); document.write( "\n" ); document.write( "= (4100)6 \n" ); document.write( " |