Understanding Binary Shifting

The video tutorial explains binary shifting, a method of multiplying or dividing numbers by powers of two. It begins with an overview of decimal place value, illustrating how moving digits to the left multiplies by ten. The tutorial then transitions to binary numbers, explaining base two and how shifting digits left multiplies by two. Examples demonstrate multiplying binary numbers by two and powers of two through shifting. The video concludes with binary division, showing how shifting digits right divides by two.

What happens to a decimal number when each digit is moved one place to the left?

• It is multiplied by 2.

• It is multiplied by 10.

• It remains the same.

• It is divided by 10.

In a binary system, what does shifting a digit one place to the left do to the number?

• Divides it by 2

• Multiplies it by 2

• Multiplies it by 10

• Divides it by 10

What is the decimal equivalent of the binary number 101?

• 5

• 4

• 7

• 6

How many places to the left should you shift a binary number to multiply it by 4?

• Three places

• Two places

• Four places

• One place

If you shift the binary number 1010 two places to the left, what is the new binary number?

• 11000

• 10100

• 101000

• 10010

What is the result of shifting a binary number one place to the right?

• It is multiplied by 2

• It is divided by 2

• It remains unchanged

• It is multiplied by 10

In GCSE computer science, what happens to a zero on the right when dividing a binary number by two?

• It is dropped off

• It becomes a one

• It remains unchanged

• It is moved to the left