Math Problem Statement
Solution
Let's break down the binary calculations from the image.
The problem involves binary numbers and basic operations (addition, subtraction, multiplication). Let's proceed with each step:
a)
The binary numbers in question are:
- (which is 20 in decimal)
- (which is 8 in decimal)
Adding these two: Thus, the result in binary is: 11100.
b)
Subtracting the same binary numbers: So, the result in binary is: 1100.
c)
Multiplying the binary numbers: So, the result in binary is: 10100000.
Would you like more details on the steps for each operation? Let me know if you have any further questions!
Related questions:
- How do you convert a binary number to decimal?
- What are the rules for binary addition and subtraction?
- How is binary multiplication different from decimal multiplication?
- How do you represent large numbers in binary?
- Can binary numbers be used in real-world applications, and how?
Tip: To check if binary addition is correct, convert the result to decimal and verify the sum.
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Math Problem Analysis
Mathematical Concepts
Binary Arithmetic
Binary Addition
Binary Subtraction
Binary Multiplication
Formulas
Binary addition: a + b
Binary subtraction: a - b
Binary multiplication: a * b
Theorems
Binary operations are based on place value in base-2 system
Suitable Grade Level
Grades 7-9
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