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Binary Numbers Practice

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Convert to decimal

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**Convert to decimal 11 1101 11 11012=32+16+8+4+1 =61 1010 0110**

32 16 8 4 2 1 = =61 128 64 32 16 8 4 2 1 128 64 32 16 8 4 2 1 = =166

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Convert to binary 58 109

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Convert to binary 58 32 16 8 4 2 1 32 16 8 4 2 1 32 16 8 4 2 1 32 16 8 4 2 1 32 16 8 4 2 1 58 – 32 = 26 greatest power of 2 that fits: 16 26 – 16 = 10 greatest power of 2 that fits: 8 10 – 8 = 2 greatest power of 2 that fits: 2 2 – 2 = 0 stop 58 =

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Convert to binary 109 64 32 16 8 4 2 1 64 32 16 8 4 2 1 64 32 16 8 4 2 1 64 32 16 8 4 2 1 64 32 16 8 4 2 1 64 32 16 8 4 2 1 109 – 64 = 45 greatest power of 2 that fits: 32 45 – 32 = 13 greatest power of 2 that fits: 8 13 – 8 = 5 greatest power of 2 that fits: 4 5 – 4 = 1 greatest power of 2 that fits: 1 1 – 1 = 0 stop 109=

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5 Minute Check Write each fraction as a decimal. Use bar notation if needed. 7 1. 15 5 2. - 2 22 Write each decimal as a fraction. 3. - 0.15 4. – 7.75.

5 Minute Check Write each fraction as a decimal. Use bar notation if needed. 7 1. 15 5 2. - 2 22 Write each decimal as a fraction. 3. - 0.15 4. – 7.75.

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