Explanation Given Information: The provided hexadecimal numbers are 5882 − 7 B93 . Formula used: Procedure to subtract the hexadecimal number: Find the first number in the left vertical column, find the second number in the top horizontal row, and find their sum at the intersection in the table. According to the hexadecimal form to decimal form conversion method find the place value of each digit in the given hexadecimal number and multiply by its corresponding power of 16 . The complementary pair of the hexadecimal is always consisting in positive and negative, if the digit is positive the complementary of that digit will be negative. The complementary pair of some of the digits are, Complementary of 0 is F, 1 is E, 2 is D, 3 is C, 4 is B, 5 is A, 6 is 9, 7 is 8 . Calculation: Consider the provided hexadecimal numbers 5882 − 7 B93 For the addition and subtraction of hexadecimal numbers refer the table 16.3 . These numbers can be written as, 5882 − 7 B93 Take the compliment of each digit in the number to be subtracted, 7 → 8 B → 4 9 → 6 3 → C Now, add both hexadecimal numbers, 5882 846 C Now, use the table for the addition of 2 + C which is found to be E , addition of 8+6 which is E , the addition of 8 + 4 is C and the addition of 5 + 8 is D . Thus, 5882 846 C DCEE As, the number to be subtracted is larger so the answer will be negative, thus taking the compliment of each digit in result, E → 1 D → 2 C → 3 Thus, the result of the addition is − 2311 . Now check this subtraction using decimal subtraction. Apply the hexadecimal to decimal form conversion on the hexadecimal numbers

Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term

12th Edition

ISBN: 9781337890199

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 16.8, Problem 54E

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Chapter 16.8, Problem 53E

Chapter 16.8, Problem 55E

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Chapter 16 Solutions

Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term

Ch. 16.1 - Change each binary number to decimal form: 11 Ch. 16.1 - Prob. 2E Ch. 16.1 - Prob. 3E Ch. 16.1 - Prob. 4E Ch. 16.1 - Prob. 5E Ch. 16.1 - Prob. 6E Ch. 16.1 - Prob. 7E Ch. 16.1 - Prob. 8E Ch. 16.1 - Prob. 9E Ch. 16.1 - Prob. 10E

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The result of hexadecimal subtraction 5882 − 7 B93 . And check the result by using decimal.

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