Subtracting Bases

What is the first step in subtracting numbers in different bases?

• Ignore the base difference

• Align the numbers by place value

• Combine the numbers first

• Multiply the numbers

When subtracting in different bases, why is it important to convert the numbers to the same base?

• Different bases do not affect subtraction

• Subtracting in different bases is more accurate

• Converting the numbers to the same base ensures that the place values align correctly for subtraction.

• Converting numbers to the same base is unnecessary

How do you borrow in base-8 subtraction?

• Adding 1 to the current digit

• Subtracting 8 from the current digit

• Ignoring the next higher digit

• Borrowing in base-8 subtraction involves subtracting 1 from the next higher digit and adding 8 to the current digit to perform the subtraction.

Explain the process of borrowing in base-16 subtraction.

• Borrow 10 from the next higher digit

• Borrow 8 from the next higher digit

• The correct answer for the question is to borrow 16 from the next higher digit when necessary.

• Borrow 20 from the next higher digit

What is the result of subtracting 1011 from 1110 in binary?

• 011

• 100

• 001

• 110

Subtract 1001 from 1111 in binary.

• 10

• 101

• 1100

• 11

Perform the subtraction 10101 - 1101 in binary.

• 00100

• 11111

• 01010

• 00000

What is the result of subtracting 100110 from 111001 in binary?

• 11111

• 11011

• 10111

• 10001

Subtract 101010 from 111111 in binary.

• 100101

• 110110

• 111000

• 101101

Calculate the result of 1001011 - 1101 in binary.

• 1110

• 1011

• 1111

• 1000