Binary Representation and Conversion Methods

This video tutorial explains how to convert decimal numbers into binary numbers using two methods: subtraction and successive division. It begins with an introduction to the powers of two, followed by step-by-step examples converting the numbers 75, 142, and 339 using the subtraction method. The video then demonstrates the successive division method to confirm the results, providing a comprehensive understanding of binary conversion.

What is the binary representation of the decimal number 75 using the subtraction method?

• 1001101

• 1100101

• 1001011

• 1010101

Which power of two is the highest that is less than 75?

• 16

• 32

• 64

• 128

When converting 142 to binary using the subtraction method, which is the first power of two used?

• 256

• 32

• 128

• 64

What is the binary representation of 142 using the subtraction method?

• 10001101

• 10001111

• 10001100

• 10001110

In the subtraction method, what is the next step after subtracting 339 by 256?

• Subtract 128

• Subtract 64

• Subtract 32

• Subtract 16

What is the binary representation of 75 using the successive division method?

• 1001101

• 1001011

• 1100101

• 1010101

What is the remainder when 75 is divided by 2 in the successive division method?

• 2

• 1

• 0

• 3

Using successive division, what is the binary representation of 142?

• 10001110

• 10001100

• 10001111

• 10001101

What is the first step in converting 339 to binary using successive division?

• Divide by 8

• Divide by 2

• Divide by 16

• Divide by 4

What is the binary representation of 339 using the successive division method?

• 101010011

• 101010001

• 101001011

• 101010111