Math Problem Statement
110001001 - 1110100
Solution
To subtract the binary numbers and , first align them and perform binary subtraction:
\ \ \ \ 110001001_2\\ - \ \ \ \ \ \ 1110100_2 \\ \end{array}$$ 1. Align the binary numbers: $$110001001_2\\ 0001110100_2 \\$$ 2. Perform binary subtraction: $$\ \ \ \ 110001001_2\\ -\ 0001110100_2 \\ = 101001101_2$$ Thus, $$110001001_2 - 1110100_2 = 101001101_2$$. If you want the decimal equivalent: - $$110001001_2 = 393$$ - $$1110100_2 = 116$$ - $$393 - 116 = 277$$ In binary, $$277_{10} = 101001101_2$$. Would you like further details or have any questions? Here are 5 related questions: 1. How do you convert binary numbers to decimal? 2. What are the steps for binary addition? 3. How does binary subtraction differ from decimal subtraction? 4. Can you explain the concept of binary complements? 5. How does binary arithmetic apply in computer systems? **Tip:** When subtracting binary numbers, borrow from the next bit just like in decimal subtraction.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Binary Arithmetic
Binary Subtraction
Decimal Conversion
Formulas
Binary Subtraction
Decimal Conversion Formula
Theorems
Binary Arithmetic Principles
Place Value System
Suitable Grade Level
Grades 9-12