DIGITAL SYSTEMS CALCULATORS


TOOL: BINARY SUBTRACTION CALCULATOR WITH STEPS


BINARY SUBTRACTION CALCULATOR WITH STEPS

Enter positive binary numbers.



1001101111001

SOLUTION STEPS

1001101111001220124s Place101

The Last Step:

24s place:

Subtract the numbers in the 24s place.

10 = 1

Write 1 to the 24s place.


All Steps:

20s place:

Subtract the numbers in the 20s place.

10 = 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

11 = 0


22s place:

Add 2 to the 22s place.

0 + 2 = 2


22s place:

Borrow 1 from 2

21 = 1


21s place:

Add 2 to the 21s place.

0 + 2 = 2


21s place:

Subtract the numbers in the 21s place.

21 = 1

Write 1 to the 21s place.


22s place:

Subtract the numbers in the 22s place.

11 = 0

Write 0 to the 22s place.


23s place:

Subtract the numbers in the 23s place.

00 = 0

Write 0 to the 23s place.


24s place:

Subtract the numbers in the 24s place.

10 = 1

Write 1 to the 24s place.


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INFORMATION

BINARY SUBTRACTION

Follow the steps below in binary subtraction.

  • Binary subtraction step 1

    Write the numbers so that the same places are aligned in the same column.

  • Binary subtraction step 2

    Start subtracting numbers from the right-most digit and each time move one digit to the left.

  • Binary subtraction step 3

    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.

  • Binary subtraction step 4

    If the number on top is smaller than the number on bottom, move left until a non-zero number is reached on top.

  • Binary subtraction step 5

    Borrow 1 from the first non-zero number and reduce it by 1.

  • Binary subtraction step 6

    Add 2 to one digit right and move to that digit.

  • Binary subtraction step 7

    Continue regrouping and adding 2 to the lower digit until the digit to be subtracted is reached.

  • Binary subtraction step 8

    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

    Calculate button-two 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

    random button-two 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

    Clear button-two inputs

    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

    • Copy Link

      You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.

    • Download Link

      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.

 

CALCULATORS

Binary Arithmetic Calculators