To add \(59\) and \(42\) in binary, follow these steps:

1. **Convert the numbers to binary:**
   - \(59\) in binary is \(111011\).
   - \(42\) in binary is \(101010\).

2. **Align the binary numbers:**
   ```
      111011
    + 101010
   ```

3. **Add the binary numbers column by column (similar to decimal addition, but in base 2):**

   ```
        111011
      + 101010
      --------
       1100101
   ```

So, the binary sum of \(59\) and \(42\) is **\(1100101\)**, which is **101** in decimal.

---

Let me know if you’d like a detailed explanation of the binary addition steps! 

### Related Questions
1. How do you subtract binary numbers?
2. What is binary addition with carrying?
3. How is binary different from decimal?
4. How to convert binary back to decimal?
5. How is overflow handled in binary addition?

**Tip:** Practice with small numbers in binary to build a strong foundation in binary addition and subtraction.

Explore a detailed solution to adding 59 and 42 in binary form. This step-by-step explanation covers binary conversion, binary addition rules, and conversion of the binary sum back to decimal. Perfect for students in Grades 6-8 looking to strengthen their skills in binary arithmetic.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation