document.write( "Question 450380: Candace says you can write any whole number as the sum of powers of two and only use each power once. Is she correct? Try writing 29 As the sum of powers of two. Then choose two other whole numbers and do the same. Explain your thinking. \n" ); document.write( "

Algebra.Com's Answer #309801 by stanbon(75887) $\"\"$ $\"About$

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Candace says you can write any whole number as the sum of powers of two and only use each power once. Is she correct?
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\n" ); document.write( "Yes: base 2 numbers can express any whole number. Base 2 numbers
\n" ); document.write( "are a sum of powers of 2.
\n" ); document.write( "19 = 2^4 + 2 + 2^0
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\n" ); document.write( " Try writing 29 As the sum of powers of two. Then choose two other whole numbers and do the same. Explain your thinking.
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\n" ); document.write( "29/2 = 14 + 1
\n" ); document.write( "14/2 = 7 + 0
\n" ); document.write( "7/2 = 3 + 1
\n" ); document.write( "3/2 = 1 + 1
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\n" ); document.write( "29 = 11101 or 2^4 + 2^3 + 2^2 + 2^0
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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