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Applied Algebra: Codes, Ciphers and Discrete Algorithms

Darel W. Hardy, Fred Richman, Carol L. Walker

Chapter 2

Codes - all with Video Answers

Educators


Section 1

Binary and Hexadecimal Codes

Problem 1

Use the methods in this section to perform the following conversions from one number system to another.
Convert $(5 A B 92)_{16}$ to binary.

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Problem 2

Use the methods in this section to perform the following conversions from one number system to another.
Convert $(43 D 69)_{16}$ to binary.

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Problem 3

Use the methods in this section to perform the following conversions from one number system to another.
Convert $(5 A B 92)_{16}$ to decimal.

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Problem 4

Use the methods in this section to perform the following conversions from one number system to another.
Convert $(43 D 69)_{16}$ to decimal.

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Problem 5

Use the methods in this section to perform the following conversions from one number system to another.
Convert $(10101011100001110101001101010100)_2$ to hexadecimal.

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Problem 6

Use the methods in this section to perform the following conversions from one number system to another.
Convert $(11101010101101110101000110101010)_2$ to hexadecimal.

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Problem 7

Use the methods in this section to perform the following conversions from one number system to another.
Convert $(10101011100001110101001101010100)_2$ to decimal.

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Problem 8

Use the methods in this section to perform the following conversions from one number system to another.
Convert $(11101010101101110101000110101010)_2$ to decimal.

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Problem 9

Use the methods in this section to perform the following conversions from one number system to another.
Convert $(50927341)_{10}$ to binary.

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Problem 10

Use the methods in this section to perform the following conversions from one number system to another.
Convert $(385941059)_{10}$ to binary.

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Problem 11

Use the methods in this section to perform the following conversions from one number system to another.
Convert $(50927341)_{10}$ to hexadecimal.

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Problem 12

Use the methods in this section to perform the following conversions from one number system to another.
Convert $(385941059)_{10}$ to hexadecimal.

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Problem 13

Use the methods in this section to perform the following conversions from one number system to another.
Compute $(2 B)_{16} \times(C 1 F)_{16}$ and express the result in hexadecimal.

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Problem 14

Use the methods in this section to perform the following conversions from one number system to another.
Compute $(123)_{16} \times(A B C)_{16}$ and express the result in hexadecimal.

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Problem 15

Use the methods in this section to perform the following conversions from one number system to another.
Compute $(101101)_2 \times(1101)_2$ and express the result in binary.

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Problem 16

Use the methods in this section to perform the following conversions from one number system to another.
Compute $(11011011)_2 \times(1001)_2$ and express the result in binary.

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Problem 17

Use the methods in this section to perform the following conversions from one number system to another.
Compute $\frac{(C 1 F)_{16}}{(2 B)_{16}}$ using hexadecimal long division.

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Problem 18

Use the methods in this section to perform the following conversions from one number system to another.
Compute $\frac{(B 3 C)_{16}}{(2 A)_{16}}$ using hexadecimal long division.

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Problem 19

Use the methods in this section to perform the following conversions from one number system to another.
Compute $\frac{(101101)_2}{(1101)_2}$ using binary long division.

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Problem 20

Use the methods in this section to perform the following conversions from one number system to another.
Compute $\frac{(11011011)_2}{(1001)_2}$ using binary long division.

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