---
title: "Convert (41A.2D)₁₆ to octal"
subject: "Digital Logic"
chapter: 1
key: "semester_3/digital_logic:convert-41a-2d-octal"
source: https://www.bctengineer.com/q/semester_3/digital_logic/convert-41a-2d-octal
site: BCT Engineering
---

# Convert (41A.2D)₁₆ to octal

Digital Logic · Chapter 1: Introduction

- Asked in: 2082 Shrawan, 1 marks
- Video: [Hexadecimal to Decimal, Binary & Octal in Hindi | Digital Electronics Number system](https://www.youtube.com/watch?v=aycAQMCSFf4) — CS Engineering Gyan
- Answer checked by Claude Opus 5.5 (high effort) on 2026-10-14
- Page: https://www.bctengineer.com/q/semester_3/digital_logic/convert-41a-2d-octal
- Whole chapter: https://www.bctengineer.com/md/semester_3/digital_logic/chapter-1

## Question

Convert (41A.2D)₁₆ = (?)₈.

## Answer

Convert hex to binary (4 bits per digit), then regroup in 3 bits from the point.

$(41A.2D)_{16} = 0100\ 0001\ 1010\ .\ 0010\ 1101$

```text
 Integer : 010 000 011 010  -> 2 0 3 2
 Fraction: 001 011 010      -> 1 3 2
```

**Answer: $(41A.2D)_{16} = (2032.132)_8$**

## Check yourself

The answer's key points as multiple-choice questions, with the correct option and why.

1. How is hex converted to octal?
   A. Divide by 8
   B. Hex to 4-bit binary, then regroup in 3 bits from the point
   C. Multiply by 16
   D. Hex digits map to octal digits directly
   Answer: B. Binary is the intermediate. (Key point: Method)

2. What is (41A.2D) hex in binary?
   A. 0100 0001 1010 . 0100 1101
   B. 0100 0001 1001 . 0010 1101
   C. 0100 0001 1010 . 0010 1101
   D. 1000 0001 1010 . 0010 1101
   Answer: C. Each hex digit becomes 4 bits. (Key point: Binary form)

3. What is the octal value?
   A. 4132.132
   B. 2032.231
   C. 2023.132
   D. 2032.132
   Answer: D. Integer groups 010 000 011 010; fraction 001 011 010. (Key point: Final answer)

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