Question

Use the methods in this section to perform the following conversions from one number system to another. Convert $(43 D 69)_{16}$ to binary.

   Use the methods in this section to perform the following conversions from one number system to another.
Convert $(43 D 69)_{16}$ to binary.

Applied Algebra: Codes, Ciphers and Discrete Algorithms

Applied Algebra: Codes, Ciphers and Discrete Algorithms

Darel W. Hardy, Fred… 2nd Edition

Chapter 2, Problem 2

Instant Answer

Step 1

The hexadecimal number given is $(43D69)_{16}$. Each digit in a hexadecimal number represents a 4-bit binary number. Show more…

Show all steps

lock

Thanks for your feedback!

Use the methods in this section to perform the following conversions from one number system to another. Convert $(43 D 69)_{16}$ to binary.

Play audio

Feedback

Powered by NumerAI

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Conversion between Number Systems

Conversion between numeral systems involves understanding the positional value of digits in any given base. A common method is to convert each digit of a higher-base numeral to its equivalent expression in a lower base or vice versa, ensuring that the value of the number is preserved.

Hexadecimal Number System

The hexadecimal system is a base-16 numeral system that uses digits 0–9 and letters A–F to represent values zero through fifteen. It is widely used in computing as it provides a concise representation of binary data, with each hexadecimal digit corresponding to four binary digits.

Binary Number System

The binary system is a base-2 numeral system that uses only the digits 0 and 1. It forms the basis of digital computing and electronic circuits, where each binary digit represents a power of 2, and the entire number expresses a combination of these power values.

Direct Digit Mapping Method

In converting from hexadecimal to binary, a direct digit mapping method is commonly used where each hexadecimal digit is replaced by its corresponding four-digit binary value. This works because 16 is 2 to the power of 4, making the conversion straightforward and efficient.

Recommended Videos

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later