Write the following decimal numbers as 8-bit signed binary numbers, using 2's complement form. a. -110 b. 67 c. -54
Write the following decimal numbers as 8-bit signed binary numbers, using 2's complement form. a. -110 b. 67 c. -54
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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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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