Math Problem Statement
Assuming an integer is saved in 8 bits and negative integers in 2's complement, what is the result of 12210 + 10110
Solution
To solve using an 8-bit system and 2's complement for negative numbers, follow these steps:
-
Convert both numbers to binary:
- to binary: (8 bits)
- to binary: (8 bits)
-
Add the two binary numbers:
- Perform binary addition:
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Math Problem Analysis
Mathematical Concepts
Binary Arithmetic
2's Complement
Negative Numbers in Binary
Formulas
Binary Addition
2's Complement Conversion Formula
Theorems
2's Complement Representation
Suitable Grade Level
Grades 9-12
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