COUNTING IN BINARY Binary weightings 0 x x x x 8

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Presentation transcript:

COUNTING IN BINARY Binary weightings 0 x 1 + 0 x 2 + 0 x 4 + 0 x 8 8 4 2 1 Binary weightings 0 x 1 + 0 x 2 + 0 x 4 + 0 x 8 ====== 0 0 0 0 Binary Decimal 1 x 1 + 1 x 2 + 0 x 4 + 1 x 8 ====== 11 1 0 1 1 1 0 1 0 10 1 0 0 1 9 1 0 0 0 8 0 1 1 1 7 0 1 1 0 6 0 1 0 1 5 0 1 0 0 4 0 0 1 1 3 0 0 1 0 2 0 0 0 1 1 0 0 0 0 Binary Decimal 0 x 1 + 0 x 2 + 1 x 4 + 1 x 8 ====== 12 1 1 0 0 1 0 1 1 11 1 0 1 0 10 1 0 0 1 9 1 0 0 0 8 0 1 1 1 7 0 1 1 0 6 0 1 0 1 5 0 1 0 0 4 0 0 1 1 3 0 0 1 0 2 0 0 0 1 1 0 0 0 0 Binary Decimal 0 x 1 + 1 x 2 + 0 x 4 + 1 x 8 ====== 10 1 0 1 0 1 0 0 1 9 1 0 0 0 8 0 1 1 1 7 0 1 1 0 6 0 1 0 1 5 0 1 0 0 4 0 0 1 1 3 0 0 1 0 2 0 0 0 1 1 0 0 0 0 Binary Decimal 1 x 1 + 0 x 2 + 1 x 4 + 1 x 8 ====== 13 1 1 0 1 1 1 0 0 12 1 0 1 1 11 1 0 1 0 10 1 0 0 1 9 1 0 0 0 8 0 1 1 1 7 0 1 1 0 6 0 1 0 1 5 0 1 0 0 4 0 0 1 1 3 0 0 1 0 2 0 0 0 1 1 0 0 0 0 Binary Decimal 1 x 1 + 1 x 2 + 1 x 4 + 1 x 8 ====== 15 1 1 1 1 1 1 1 0 14 1 1 0 1 13 1 1 0 0 12 1 0 1 1 11 1 0 1 0 10 1 0 0 1 9 1 0 0 0 8 0 1 1 1 7 0 1 1 0 6 0 1 0 1 5 0 1 0 0 4 0 0 1 1 3 0 0 1 0 2 0 0 0 1 1 0 0 0 0 Binary Decimal 0 x 1 + 1 x 2 + 1 x 4 + 1 x 8 ====== 14 1 1 1 0 1 1 0 1 13 1 1 0 0 12 1 0 1 1 11 1 0 1 0 10 1 0 0 1 9 1 0 0 0 8 0 1 1 1 7 0 1 1 0 6 0 1 0 1 5 0 1 0 0 4 0 0 1 1 3 0 0 1 0 2 0 0 0 1 1 0 0 0 0 Binary Decimal 1 x 1 + 0 x 2 + 0 x 4 + 1 x 8 ====== 9 1 0 0 1 1 0 0 0 8 0 1 1 1 7 0 1 1 0 6 0 1 0 1 5 0 1 0 0 4 0 0 1 1 3 0 0 1 0 2 0 0 0 1 1 0 0 0 0 Binary Decimal 1 x 1 + 1 x 2 + 1 x 4 + 0 x 8 ====== 7 0 1 1 1 0 1 1 0 6 0 1 0 1 5 0 1 0 0 4 0 0 1 1 3 0 0 1 0 2 0 0 0 1 1 0 0 0 0 Binary Decimal 0 x 1 + 1 x 2 + 0 x 4 + 0 x 8 ====== 2 0 0 1 0 0 0 0 1 1 0 0 0 0 Binary Decimal 1 x 1 + 0 x 2 + 0 x 4 + 0 x 8 ====== 1 0 0 0 1 0 0 0 0 Binary Decimal 1 x 1 + 1 x 2 + 0 x 4 + 0 x 8 ====== 3 0 0 1 1 0 0 1 0 2 0 0 0 1 1 0 0 0 0 Binary Decimal 0 x 1 + 0 x 2 + 1 x 4 + 0 x 8 ====== 4 0 1 0 0 0 0 1 1 3 0 0 1 0 2 0 0 0 1 1 0 0 0 0 Binary Decimal 0 x 1 + 1 x 2 + 1 x 4 + 0 x 8 ====== 6 0 1 1 0 0 1 0 1 5 0 1 0 0 4 0 0 1 1 3 0 0 1 0 2 0 0 0 1 1 0 0 0 0 Binary Decimal 1 x 1 + 0 x 2 + 1 x 4 + 0 x 8 ====== 5 0 1 0 1 0 1 0 0 4 0 0 1 1 3 0 0 1 0 2 0 0 0 1 1 0 0 0 0 Binary Decimal 0 x 1 + 0 x 2 + 0 x 4 + 1 x 8 ====== 8 1 0 0 0 0 1 1 1 7 0 1 1 0 6 0 1 0 1 5 0 1 0 0 4 0 0 1 1 3 0 0 1 0 2 0 0 0 1 1 0 0 0 0 Binary Decimal