Exam 2: Binary Numbers

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Simplify each of the following by using long division. Some answers may have a remainder. - 110112÷11211011 _ { 2 } \div 11 _ { 2 }

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Add the following binary numbers in 4-bit, two's complement notation. Identify any overflow errors. - 010 +001

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Use long division to convert each decimal fraction into a binary expansion. - 78\frac { 7 } { 8 }

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Find the decimal equivalent for each of the following binary numbers. - 101102100000002\frac { 10110 _ { 2 } } { 10000000 _ { 2 } }

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Find the binary equivalent for each of the following decimal numbers. -0.6328125

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Perform the following binary subtractions. - 111 -101

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Find the decimal equivalent for each of the following binary numbers. - 111021110 _ { 2 }

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Add the following binary numbers. - 110 +100

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Exactly how many bytes are in 64 K?

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Simplify each of the following by using long division. - 11110102÷1021111010 _ { 2 } \div 10 _ { 2 }

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Find the decimal equivalent for each of the following binary numbers. - 10001.10001210001.10001 _ { 2 }

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Simplify each of the following by using long division. Some answers may have a remainder. - 100102÷11210010 _ { 2 } \div 11 _ { 2 }

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Add the following binary numbers. - 1100111 +0110011

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Add the following binary numbers in 4-bit, two's complement notation. Identify any overflow errors. - 111 +011

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Multiply each pair of binary numbers. - 101 \times1

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Use long division to convert each decimal fraction into a binary expansion. - 564\frac { 5 } { 64 }

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Find the binary equivalent for each of the following decimal numbers. -92

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Translate each of the following decimal numbers into two's complement notation. Use an 8-bit representation. -−66

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Simplify each of the following by using long division. Some answers may have a remainder. - 10110102÷1021011010 _ { 2 } \div 10 _ { 2 }

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Each of the following numbers are in 8-bit, two's complement notation. Translate each into its decimal equivalent. - 11110000211110000 _ { 2 } ^ { * }

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