Decimal Number System to Binary Number System | Number System and Code | Digital Circuit Design

TL;DR

Learn how to convert decimal numbers to binary numbers using the successive division and multiplication method.

Transcript

click the bell icon to get latest videos from akira hello friends we are going to start with conversion of decimal number system to binary number system let's start with first example for conversion of decimal number to the binary number first example is 35 to the best 10 your aim is to convert it into binary number here you will apply successive d... Read More

Key Insights

• #️⃣ Decimal numbers can be converted to binary numbers using the successive division method.
• 😥 Decimal numbers with decimal points require the application of both the successive division and multiplication method.
• 💘 Drawing a table and using arrows can help in organizing and writing the binary answer correctly.

Questions & Answers

Q: What is the successive division method?

The successive division method is a technique used to convert a decimal number to a binary number. It involves repeatedly dividing the decimal number by 2 and noting the remainders until the quotient becomes zero.

Q: How does the multiplication method work in decimal to binary conversion?

The multiplication method is used when there is a decimal point in the decimal number. It involves multiplying the decimal number by 2 at every step, noting the integer part, and repeating the process until the fractional part becomes zero.

Q: What is the purpose of drawing an arrow in the conversion process?

Drawing an arrow helps in writing the binary answer correctly. It indicates the direction in which the binary digits should be written, from right to left.

Q: Can the successive division method be used for decimal numbers with a decimal point?

No, for decimal numbers with a decimal point, the successive multiplication method needs to be applied in addition to the successive division method.

Summary & Key Takeaways

• The video demonstrates the conversion of a decimal number (35) to a binary number using the successive division method.

• It also shows the conversion of a decimal number with a decimal point (15.422) to a binary number using the successive division and multiplication method.

• The process involves drawing a table, applying the respective method, and writing the binary answer.