Explanation Given Information: The provided hexadecimal numbers are 25 A7 − 1992 . 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 25 A7 − 1992 For the addition and subtraction of hexadecimal numbers refer the table 16.3 . These numbers can be written as, 25 A7 − 1992 Take the compliment of each digit in the number to be subtracted, 2 → D 1 → E 9 → 6 Now, add both hexadecimal numbers, 25 A7 E66D Now, use the table for the addition of 7 + D which is found to be 14, addition of A+6 which is 10 but 1 is carried over which makes it A+7 which is 11, the addition of 5 + 6 is B and 1 is carried form 11 which makes it C and the addition of 2 + E is 10. Thus, 25 A7 E66D 10C 14 There is an extra digit in the answer therefore, add 1 to the final digit as shown 0 C14 1 C15 Thus, the result of the addition is C15 . Now check this subtraction using decimal subtraction. Apply the hexadecimal to decimal form conversion on the hexadecimal numbers

11th Edition

ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

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Chapter 16.8, Problem 53E

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To calculate: The result of hexadecimal subtraction 25A7−1992. And check the result by using decimal.

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Chapter 16.8, Problem 52E

Chapter 16.8, Problem 54E

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The result of hexadecimal subtraction 25 A7 − 1992 . And check the result by using decimal.

Solution Summary: The author calculates the result of the hexadecimal subtraction 25A7-1992 by using decimal.

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To calculate: The result of hexadecimal subtraction 25A7−1992. And check the result by using decimal.

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Chapter 16 Solutions