# Binary Subtraction

Binary subtraction is also similar to that of decimal subtraction with the difference that when 1 is subtracted from 0, it is necessary to borrow 1 from the next higher order bit and that bit is reduced by 1 (or 1 is added to the next bit of subtrahend) and the remainder is 1.

Thus the rules of binary subtraction are as follows:

0 - 0 = 0

1 - 0 = 1

1 - 1 = 0

0 - 1 = 1 with a borrow of 1

# Binary Subtraction Table

 - 0 1 0 0 1 1 1 0

For fractional numbers, the rules of subtraction are the same with the binary point properly placed.

A clear concept on few examples will make the procedure of binary subtraction:

Subtract the following numbers:

i) 101 from 1001

Solution:

101 from 1001

1 Borrow

1 0 0 1

1 0 1

1 0 0

ii) 111 from 1000

Solution:

111 from 1000

1 Borrow

1 0 0 0

1 1 1

0 0 0 1

iii) 1010101.10 from 1111011.11

Solution:

1010101.10 from 1111011.11

1 Borrow

1 1 1 1 0 1 1 . 1 1

1 0 1 0 1 0 1 . 1 0

1 0 0 1 1 0 . 0 1

iv) 11010.101 from 101100.011

Solution:

11010.101 from 101100.011

1         1   1      Borrow

1 0 1 1 0 0 . 0 1 1

1 1 0 1 0 . 1 0 1

1 0 0 0 1 . 1 1 0

• Decimal Number System
• Why Binary Numbers are Used
• Binary to Decimal Conversion
• Conversion of Numbers
• Hexa-decimal Number System
• Conversion of Binary Numbers to Octal or Hexa-decimal Numbers
• Octal and Hexa-Decimal Numbers
• Signed-magnitude Representation
• Radix Complement
• Diminished Radix Complement
• Arithmetic Operations of Binary Numbers

From Binary Subtraction to HOME PAGE

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

### New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

## Recent Articles

1. ### Addition of Three 1-Digit Numbers | Add 3 Single Digit Numbers | Steps

Sep 19, 24 12:56 AM

To add three numbers, we add any two numbers first. Then, we add the third number to the sum of the first two numbers. For example, let us add the numbers 3, 4 and 5. We can write the numbers horizont…

Read More

2. ### Adding 1-Digit Number | Understand the Concept one Digit Number

Sep 18, 24 03:29 PM

Understand the concept of adding 1-digit number with the help of objects as well as numbers.

Read More

3. ### Addition of Numbers using Number Line | Addition Rules on Number Line

Sep 18, 24 02:47 PM

Addition of numbers using number line will help us to learn how a number line can be used for addition. Addition of numbers can be well understood with the help of the number line.

Read More

4. ### Counting Before, After and Between Numbers up to 10 | Number Counting

Sep 17, 24 01:47 AM

Counting before, after and between numbers up to 10 improves the child’s counting skills.

Read More

5. ### Worksheet on Three-digit Numbers | Write the Missing Numbers | Pattern

Sep 17, 24 12:10 AM

Practice the questions given in worksheet on three-digit numbers. The questions are based on writing the missing number in the correct order, patterns, 3-digit number in words, number names in figures…

Read More