Explanation Given: The given condition is, 801D 16 Procedure: Steps for converting from base sixteen to base eight is as follows. Step 1: Convert the base sixteen numbers to base two. Step 2: Convert the base two numbers to base eight. Steps for converting from base sixteen to base two is as follows. Step 1: Convert each base sixteen digit to base two. Step 2: Replace each base sixteen digit with a four-digit version of its base two equivalents. Steps for converting from base two to base eight is as follows. Step 1: Break the base two number up into sets of three digits, adding zeros on the left side if necessary. Step 2: Convert each of the base two numbers from step1 to base eight. Step 3: Replace each base two three-digit number with its base eight equivalents. Calculation: Consider the given condition, 801D 16 The condition is in base sixteen forms. So, first convert it into base two. Now, convert each base sixteen digit to base two. 801D 16 has three digits 8 16 , 0 16 , 1 16 and D 16 . Value of digit in base ten, 8 16 = 8 Now, expand the above expression. 8 16 = 1 ⋅ 2 3 + 0 ⋅ 2 2 + 0 ⋅ 2 1 + 0 ⋅ 2 0 Then, convert in base two with four digits. 8 16 = 1000 2 Similarly for remaining digits, 0 16 = 0 = 0 ⋅ 2 0 = 0000 2 for digit 1 16 . 1 16 = 1 = 1 ⋅ 2 0 = 0001 2 And for digit D 16 . D 16 = 13 = 1 ⋅ 2 3 + 1 ⋅ 2 2 + 0 ⋅ 2 1 + 1 ⋅ 2 0 = 1101 2 Now, replace each base eight digit with a four-digit version. 801D 16 = ( 1000 ) ( 0000 ) ( 0001 ) ( 1101 ) = 1000000000011101 2 Now, convert from base two to base eight. Break the base two number up into sets of three digits, adding zeros on the left side if necessary

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ISBN: 9780100546110

Author: MOWRY

Publisher: YUZU

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Chapter 7.1, Problem 73E

To determine

To find:

The value in base eight for 801D16.

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Chapter 7.1, Problem 72E

Chapter 7.1, Problem 74E

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Chapter 7 Solutions

EBK MATHEMATICS: A PRACTICAL ODYSSEY

Ch. 7.1 - In Exercises 120, write the given number in...Ch. 7.1 - In Exercises 120, write the given number in...Ch. 7.1 - Prob. 3E Ch. 7.1 - Prob. 4E Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E Ch. 7.1 - Prob. 8E Ch. 7.1 - Prob. 9E Ch. 7.1 - Prob. 10E

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