Binary Division Rules

The binary division is much easier than the decimal division when you remember the following division rules. The main rules of the binary division include:

  • 1÷1 = 1
  • 1÷0 = Meaningless
  • 0÷1 = 0
  • 0÷0 = Meaningless

Similar to the decimal number system, the binary division is similar, which follows the four-step process:

  • Divide
  • Multiply
  • Subtract
  • Bring down

Important Note: Binary division follows the long division method to find the resultant in an easy way.

Comparison with Decimal Value

(01111100)2 = (1111100)2 = 12410

(0010)2 = (10)2 = 210

You will get the resultant value as 62 when you divide 124 by 2.

So the binary equivalent of 62 is (111110)2

(111110)2 = 6210

Both the binary and the decimal system produce the same result.

Binary Division Examples

Example 1.

Question: Solve 01111100 ÷ 0010

Solution:

Given

01111100 ÷ 0010

Here the dividend is 01111100, and the divisor is 0010

Remove the zero’s in the Most Significant Bit in both the dividend and divisor, that doesn’t change the value of the number.

So the dividend becomes 1111100, and the divisor becomes 10.

Now, use the long division method.

Binary Division Example-1

 

  • Step 1: First, look at the first two numbers in the dividend and compare with the divisor. Add the number 1 in the quotient place. Then subtract the value, you get 1 as remainder.
  • Step 2: Then bring down the next number from the dividend portion and do the step 1 process again
  • Step 3: Repeat the process until the remainder becomes zero by comparing the dividend and the divisor value.
  • Step 4: Now, in this case, after you get the remainder value as 0, you have zero left in the dividend portion, so bring that zero to the quotient portion.

Therefore, the resultant value is quotient value which is equal to 111110

So, 01111100 ÷ 0010 = 111110