Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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**Converting Decimal into Binary: An Iterative Function Approach** This tutorial covers how to transform a decimal number into its binary equivalent using an iterative function. ### Steps to Convert Decimal 20 to Binary: 1. **Divide the Number:** - Divide the decimal number by 2. - Record the quotient and remainder. - Repeat the process with the quotient until it equals zero. 2. **Illustration:** - 20 divided by 2 gives a quotient of 10 and a remainder of 0. - 10 divided by 2 gives a quotient of 5 and a remainder of 0. - 5 divided by 2 gives a quotient of 2 and a remainder of 1. - 2 divided by 2 gives a quotient of 1 and a remainder of 0. - 1 divided by 2 gives a quotient of 0 and a remainder of 1. 3. **Binary Conversion:** - Collect the remainders starting from the last to the first. - Result: 10100 - Hence, 20 in decimal is equal to 10100 in binary. ### Other Examples: - **Decimal 10** converts to **Binary 1010** - **Decimal 33** converts to **Binary 100001** - **Decimal 150** converts to **Binary 10010110** - **Decimal 55** converts to **Binary 110111** This method ensures an efficient approach to converting integers into their binary form, enhancing comprehension of binary systems in computing.
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Transcribed Image Text:**Converting Decimal into Binary: An Iterative Function Approach** This tutorial covers how to transform a decimal number into its binary equivalent using an iterative function. ### Steps to Convert Decimal 20 to Binary: 1. **Divide the Number:** - Divide the decimal number by 2. - Record the quotient and remainder. - Repeat the process with the quotient until it equals zero. 2. **Illustration:** - 20 divided by 2 gives a quotient of 10 and a remainder of 0. - 10 divided by 2 gives a quotient of 5 and a remainder of 0. - 5 divided by 2 gives a quotient of 2 and a remainder of 1. - 2 divided by 2 gives a quotient of 1 and a remainder of 0. - 1 divided by 2 gives a quotient of 0 and a remainder of 1. 3. **Binary Conversion:** - Collect the remainders starting from the last to the first. - Result: 10100 - Hence, 20 in decimal is equal to 10100 in binary. ### Other Examples: - **Decimal 10** converts to **Binary 1010** - **Decimal 33** converts to **Binary 100001** - **Decimal 150** converts to **Binary 10010110** - **Decimal 55** converts to **Binary 110111** This method ensures an efficient approach to converting integers into their binary form, enhancing comprehension of binary systems in computing.
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