Converting Decimal Numbers to Binary Using Subtraction and Successive Division Methods

This video tutorial explains how to convert decimal numbers into binary numbers using two methods: the subtraction method and successive division. It provides step-by-step examples for converting the numbers 75, 142, and 339 into binary. The video also covers the powers of two, which are essential for understanding binary conversion. By the end of the video, viewers will be able to convert decimal numbers to binary using both methods and understand the significance of each step in the process.

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

• 1100101

• 1110010

• 1011100

• 1001011

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

• 64

• 32

• 128

• 16

When converting 142 to binary using the subtraction method, which base 2 number is used first?

• 64

• 32

• 128

• 16

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

• 10011110

• 10011100

• 10001110

• 10001100

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

• Subtract 32

• Subtract 64

• Subtract 16

• Subtract 128

Using successive division, what is the remainder when 75 is divided by 2 for the first time?

• 0

• 1

• 2

• 3

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

• 1110010

• 1011100

• 1100101

• 1001011

When converting 142 to binary using successive division, what is the result of dividing 142 by 2?

• 72

• 73

• 71

• 70

What is the binary representation of 142 using the successive division method?

• 10001110

• 10011100

• 10001100

• 10001110

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

• 101010011

• 101010110

• 101001011

• 101010111