Introduction to Number System - Introduction to Structure Programming Approach - C Programming | Summary and Q&A

TL;DR

This content introduces the number system, including integers and fractions, and discusses how they are represented in binary format.

Key Insights

• #️⃣ The number system includes integers, fractions, characters, and strings as different types of data.
• #️⃣ Binary, octal, and hexadecimal are different number systems used to represent numbers.
• #️⃣ Converting decimal numbers to binary involves dividing the number by 2 and collecting the remainders.
• 💁 Byte and two-byte formats are used to represent numbers in binary, with additional zeros added as necessary.

Transcript

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Questions & Answers

Q: What are the different types of data in the number system?

The number system includes integers, fractions, characters, and strings.

Q: How are numbers represented in the binary system?

In the binary system, numbers are represented using only two digits, 0 and 1.

Q: What are the other number systems apart from binary?

Apart from binary, there are octal (base 8) and hexadecimal (base 16) number systems.

Q: How do you convert a decimal number to binary?

To convert a decimal number to binary, divide the number by 2 repeatedly and collect the remainders. Then, arrange the remainders from the last quotient to the first remainder to get the binary representation.

Q: What is the difference between a byte and a two-byte format?

A byte format consists of 8 binary bits, while a two-byte format consists of 16 binary bits. Additional zeros may be added to represent a number in byte or two-byte format.

Q: Are there any standards for representing fractional numbers in binary format?

Yes, there are standards called ieee 754, which define the representation of fractional numbers using 32-bit (single precision) or 64-bit (double precision) formats.

Summary & Key Takeaways

• The content explains different types of data, such as integers, fractions, characters, and strings.

• It describes the different number systems, including binary (base 2), octal (base 8), and hexadecimal (base 16).

• The content explains how to convert decimal numbers to binary and how to represent numbers in byte and two-byte formats.