Math Problem Statement
Perform the following binary operations and show all your work. a. 11110100 + 11001010
Solution
Let's go through the steps to perform the binary addition of two numbers: and .
Step 1: Align the numbers
We write the two binary numbers one on top of the other:
11110100_2 \\ + 11001010_2 \\ \end{array}$$ ### Step 2: Perform the addition bit by bit from right to left | Column (Bit) | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | Carry | |--------------|---|---|---|---|---|---|---|---|-------| | **Step** | | | | | | | | | | | **Step 1** | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | | **Step 2** | 1 | 1 | 1 |3Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Binary Arithmetic
Addition in Base 2
Formulas
Binary addition with carry-over
Theorems
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Suitable Grade Level
Grades 5-7