Binary
Addition

Binary
Multiplication

Enter positive binary numbers.

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SOLUTION STEPS

⟲ Replay

The Last Step:

2⁴s place:

Subtract the numbers in the 2⁴s place.

1 – 0 = 1

Write 1 to the 2⁴s place.

All Steps:

2⁰s place:

Subtract the numbers in the 2⁰s place.

1 – 0 = 1

Write 1 to the 2⁰s place.

2¹s place:

0 < 1

Borrow 1 from the 2²s place.

2²s place:

We can't regroup from 0.

2³s place:

Borrow 1 from 1

1 – 1 = 0

2²s place:

Add 2 to the 2²s place.

0 + 2 = 2

2²s place:

Borrow 1 from 2

2 – 1 = 1

2¹s place:

Add 2 to the 2¹s place.

0 + 2 = 2

2¹s place:

Subtract the numbers in the 2¹s place.

2 – 1 = 1

Write 1 to the 2¹s place.

2²s place:

Subtract the numbers in the 2²s place.

1 – 1 = 0

Write 0 to the 2²s place.

2³s place:

Subtract the numbers in the 2³s place.

0 – 0 = 0

Write 0 to the 2³s place.

2⁴s place:

Subtract the numbers in the 2⁴s place.

1 – 0 = 1

Write 1 to the 2⁴s place.

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INFORMATION

BINARY SUBTRACTION

Follow the steps below in binary subtraction.

Write the numbers so that the same places are aligned in the same column.
Start subtracting numbers from the right-most digit and each time move one digit to the left.
In any digit, if the number on top is greater than or equal to the number on bottom, do the subtraction and write the result to the same place.
If the number on top is smaller than the number on bottom, move left until a non-zero number is reached on top.
Borrow 1 from the first non-zero number and reduce it by 1.
Add 2 to one digit right and move to that digit.
Continue regrouping and adding 2 to the lower digit until the digit to be subtracted is reached.
Do the subtraction and move one digit left.

WHAT IS BINARY SUBTRACTION CALCULATOR?

The binary subtraction calculator,

Calculates the subtraction of the entered numbers (whole or decimal) and
Illustrates the solution steps by using animations.

HOW TO USE THE BINARY SUBTRACTION CALCULATOR?

You can use the binary subtraction calculator in two ways.

USER INPUTS

You can enter two positive binary numbers to the input boxes and click on the "CALCULATE" button. The result and explanations appaer below the calculator
RANDOM INPUTS

You can click on the DIE ICON next to the input boxes. If you use this property, two random numbers are generated and entered to the calculator, automatically. You can see the result and explanations below the calculator. You can create your own examples and practice using this property.
CLEARING THE INPUT BOX

To find the difference of some other numbers you can clear the input box by clicking on the CLEAR button under the input box.
COPYING & DOWNLOADING THE SOLUTION
- You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.
- Even you can download the solution as an image file with .jpg extension if you click on the "Download Solution" link at the bottom of the solution panel. You can share the downloaded image file.