#### 36Question: How many 6-digit binary numbers contain exactly one occurrence of two consecutive 1s?

Fri, 17 Apr 2026 08:40:38 +0000

**How Many 6-Digit Binary Numbers Contain Exactly One Occurrence of Two Consecutive 1s?** Ever noticed how quickly patterns emerge—even in something as structured as binary numbers? A recent curiosity among US-based digital explorers centers on a seemingly simple math question: How many 6-digit binary numbers contain exactly one occurrence of two consecutive 1s? With digital trends leaning toward logic puzzles and data literacy, this query reflects growing user interest in structured problem-solving. Whether for coding, algorithm design, or data analysis, understanding how many such 6-digit sequences exist offers more than just a number—it reveals how digital systems manage constraints and patterns. In today’s fast-paced tech landscape, even binary logic poses subtle questions that spark deeper curiosity. **Why Is This Question Trending in the US?**
The interest in binary sequences—especially with exact patterns like “two consecutive 1s”—aligns with rising engagement in computer science education, coding challenges, and algorithmic thinking. US tech communities increasingly value logic puzzles as foundational skills, particularly in early digital literacy and STEM outreach. This question taps into that trend: identifying binary sequences with precise conditions teaches systematic reasoning while illustrating constraints in data modeling. Furthermore, as coding platforms and AI applications grow, mastering such patterns supports efficient data processing—making this a relevant topic for learners aiming to build analytical skills. Though niche, it fits naturally into broader interests in computational thinking, algorithms, and data patterns. **How to Count 6-Digit Binary Numbers with Exactly One Occurrence of Two Consecutive 1s**
Each 6-digit binary number ranges from 000000 to 111111—64 total combinations. We seek sequences with *exactly one* instance of “11.” To count these accurately, we use a method that isolates the single “11” block and ensures no additional “11” exists elsewhere.