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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**Convert Decimal Numbers to 8-Bit Signed Binary (2's Complement Form)**

**Task:** Write the following decimal numbers as 8-bit signed binary numbers, using 2's complement form.

a. -110  
b. 67  
c. -54  

**Explanation:**

To convert a negative decimal number to its 2's complement form:
1. Write the absolute value of the number in binary.
2. Make it 8 bits by adding leading zeros if necessary.
3. Invert the digits (0s to 1s and 1s to 0s).
4. Add 1 to the inverted binary number.

For a positive number, simply convert to binary and ensure it's 8 bits by adding leading zeros.
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Transcribed Image Text:**Convert Decimal Numbers to 8-Bit Signed Binary (2's Complement Form)** **Task:** Write the following decimal numbers as 8-bit signed binary numbers, using 2's complement form. a. -110 b. 67 c. -54 **Explanation:** To convert a negative decimal number to its 2's complement form: 1. Write the absolute value of the number in binary. 2. Make it 8 bits by adding leading zeros if necessary. 3. Invert the digits (0s to 1s and 1s to 0s). 4. Add 1 to the inverted binary number. For a positive number, simply convert to binary and ensure it's 8 bits by adding leading zeros.
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