# Binary_Review - and remainder – repeat dividing quotient...

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Click to edit Master subtitle style 8/27/09 Binary Review

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8/27/09 Decimal Based around 10 295 2 * 102 + 9 * 101 + 5 * 100 200 + 90 + 5 104 103 102 101 100 10000 1000 100 10 1
8/27/09 Binary Based around 2 10100 1 * 24 + 0 * 23 + 1 * 22 + 0 * 21 + 0 * 20 24 23 22 21 20 16 8 4 2 1

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8/27/09 Decimal to Binary Decimal to Binary (0-1) divide number by 2 to obtain quotient and remainder repeat dividing quotient by 2, until quotient is 0 n q r 66/2 33 0 33/2 16 1 16/2 8 0 8/2 4 0 4/2 2 0 2/2 1 0 1/2 0 1 1 00001 0 lsb least significant bit msb most significant bit
8/27/09 Decimal to Hex Decimal to Hex (0-9, A-F) divide number by 16 to obtain quotient

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Unformatted text preview: and remainder – repeat dividing quotient by 16, until quotient is 0 n q r 266/16 16 10 16/16 1 1/16 1 1 A lsb least significant bit msb most significant bit 8/27/09 Binary to Hex • Binary to Hex – divide bits in groups of 4 – evaluate each group individually (100001010)2 = (10A)16 = (266)10 0001 0000 1010 1 A 8/27/09 Hex to Binary • Hex to Binary – give binary representation for each hex digit individually (10A)16 = (100001010)2 =(266)10 1 0 A 0001 0000 1010...
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Binary_Review - and remainder – repeat dividing quotient...

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