Math Problem Statement
Add binary number 10110 to binary number 111001
Solution
To add the binary numbers and , follow these steps:
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Align the numbers by their least significant bit (rightmost digit), padding the smaller number with zeros at the beginning:
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Perform binary addition, remembering the rules:
- (write , carry )
- (write , carry )
Adding step by step:
Carry: 1 1 1 0 0 Numbers: 0 0 0 1 0 1 1 0 + 1 1 1 0 0 1 Result: 1 0 0 0 0 1 1
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The result is in binary.
Final Answer:
The sum of and in binary is , which equals in decimal.
Would you like more details or further assistance? Here are some related questions to explore:
- How do you subtract binary numbers?
- Can you explain binary multiplication?
- How is binary addition applied in computer science?
- What is the difference between binary and hexadecimal addition?
- How do you convert binary to decimal manually?
Tip: When adding binary numbers, align them carefully and work from the rightmost bit to avoid errors with carries.
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Math Problem Analysis
Mathematical Concepts
Binary Addition
Number Systems
Formulas
Binary addition rules: 0 + 0 = 0, 0 + 1 = 1, 1 + 1 = 10 (write 0, carry 1), 1 + 1 + 1 = 11 (write 1, carry 1)
Theorems
Place Value System in Binary
Suitable Grade Level
Grades 6-8