Explanation Given Information: The provided hexadecimal numbers are 2 DE − 4 CC . 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 2 DE − 4 CC For the addition and subtraction of hexadecimal numbers refer the table 16.3 . These numbers can be written as, 2DE − 4 CC Take the compliment of each digit in the number to be subtracted, 4 → B C → 3 Now, add both hexadecimal numbers, 2DE B33 Now, use the table for the addition of E + 3 which is found to be 11, addition of D+3 which is 10 but 1 is carried from 11 which makes it D+4 which is 11 and the addition of 2 + B which is D but 1 is carried over from 11 which makes it 3 + B which is E . Thus, 2DE B33 E11 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 1 → E Thus, the result of the addition is − 1 EE . 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 47E

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To calculate: The result of hexadecimal subtraction 2DE−4CC. And check the result by using decimal.

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Chapter 16.8, Problem 46E

Chapter 16.8, Problem 48E

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Chapter 16 Solutions

Elementary Technical Mathematics

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 2 DE − 4 CC . And check the result by using decimal.

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To calculate: The result of hexadecimal subtraction 2DE−4CC. And check the result by using decimal.

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Chapter 16 Solutions