Explanation Given Information: The provided hexadecimal numbers are BCB − EAF . 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 BCB − EAF For the addition and subtraction of hexadecimal numbers refer the table 16.3 . These numbers can be written as, BCB − EAF Take the compliment of each digit in the number to be subtracted, A → 5 F → 0 E → 1 Now, add both hexadecimal numbers, BCB 150 Now, use the table for the addition of B+0 which is found to be B , addition of C+5 which is 11 , and the addition of B+1 is C but 1 is carried over which makes it B+2 which is D . Thus, BCB 150 D1B As, the number to be subtracted is larger so the answer will be negative, thus taking the compliment of each digit in result, B → 4 D → 2 1 → E Thus, the result of the addition is − 2 E4 . 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 50E

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To calculate: The result of hexadecimal subtraction $BCB−EAF$ . And check the result by using decimal.

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Chapter 16.8, Problem 49E

Chapter 16.8, Problem 51E

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Chapter 16 Solutions

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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 BCB − EAF . And check the result by using decimal.

Solution Summary: The author calculates the result of the hexadecimal subtraction by using decimal. The complementary pair of digits is always consisting in positive and negative.

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To calculate: The result of hexadecimal subtraction $BCB−EAF$ . And check the result by using decimal.

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Chapter 16 Solutions

The result of hexadecimal subtraction BCB − EAF . And check the result by using decimal.

Solution Summary: The author calculates the result of the hexadecimal subtraction by using decimal. The complementary pair of digits is always consisting in positive and negative.

Concept explainers

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To calculate: The result of hexadecimal subtraction BCB−EAF<m:math><m:mrow><m:mtext>BCB</m:mtext><m:mo>−</m:mo><m:mtext>EAF</m:mtext></m:mrow></m:math>. And check the result by using decimal.

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Chapter 16 Solutions

To calculate: The result of hexadecimal subtraction $BCB−EAF$ . And check the result by using decimal.