I'm a binary with sum of of my two digit is one forth of my total output 

It seems like you're describing a binary number whose two digits' sum relates to its total value. Here's an interpretation of the problem:

### Problem Interpretation:
You're referring to a binary number, let's denote it as \( x \). For a binary number, let's consider \( x \) as having two digits, which means \( x \) could be either \( 10 \) or \( 11 \).

The problem states:
- The sum of the two digits is one-fourth of the total output.

Let's evaluate each possibility:

### Possible Binary Numbers:
1. **Binary \( 10 \):**
   - Digits: \( 1 \) and \( 0 \).
   - Sum of digits: \( 1 + 0 = 1 \).
   - Decimal value: \( 10 \) in binary is \( 2 \) in decimal.
   - One-fourth of the total output: \( \frac{2}{4} = 0.5 \).

   This does not match the sum of the digits.

2. **Binary \( 11 \):**
   - Digits: \( 1 \) and \( 1 \).
   - Sum of digits: \( 1 + 1 = 2 \).
   - Decimal value: \( 11 \) in binary is \( 3 \) in decimal.
   - One-fourth of the total output: \( \frac{3}{4} = 0.75 \).

   This does not match the sum of the digits either.

Based on your statement, it seems none of these satisfy the condition as exactly described, suggesting the problem might involve a slightly different interpretation or a different set of rules. Could you clarify the conditions or if the binary number's form is different?

Would you like further details on binary calculations or adjustments to the interpretation? Here are some related questions that might help:

1. Are you asking about binary representation and its arithmetic properties?
2. Should we consider more digits or different binary structures?
3. Do you need help understanding binary-to-decimal conversion?
4. Are you working on a logic puzzle involving binary numbers?
5. Would you like an explanation of fractions and their relation to binary sums?

**Tip:** Always double-check your conditions in word problems—sometimes the wording can shift the interpretation!

Explore the concept of binary numbers and arithmetic operations. Learn about binary-to-decimal conversion and how to interpret arithmetic operations in binary form. Dive into the details of solving binary-related problems with a focus on understanding fundamental concepts.

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