Converting Decimal to Binary

The video tutorial introduces binary number system conversion, focusing on two methods: positional weights and division by two. The first method involves using positional weights to convert decimal numbers to binary, while the second method uses division by two, which is preferred. The tutorial also covers binary conversion of numbers with fractional parts and provides homework problems for practice.

What is the first step in the first method of converting a decimal number to binary?

• Use positional weights

• Divide the number by two

• Multiply the number by two

• Subtract the number from 16

In the first method, what is the binary equivalent of the decimal number 13?

• 1001

• 1101

• 1011

• 1100

What is the main operation used in the second method of converting decimal to binary?

• Subtraction

• Multiplication

• Division

• Addition

When using the second method, what do you do with the remainder after dividing by two?

• Add it to the quotient

• Multiply it by two

• Use it to form the binary number

• Ignore it

In the second method, how do you determine the binary number from the remainders?

• Read from bottom to top

• Read from right to left

• Read from left to right

• Read from top to bottom

What is the binary equivalent of the decimal number 25 using the second method?

• 11001

• 10101

• 11100

• 10011

When converting a fractional part to binary, what operation is performed?

• Add two

• Multiply by two

• Divide by two

• Subtract two

In the example with a fractional part, what is the binary equivalent of 0.625?

• 0.111

• 0.101

• 0.100

• 0.110

What is the binary equivalent of the decimal number 25.625?

• 11001.110

• 11001.101

• 11001.111

• 11001.100

What is the first homework problem given in the presentation?

• Convert 13 to binary

• Convert 29.75 to binary

• Convert 25.625 to binary

• Convert 67 to binary