Binary Division – Its Rules, Examples and Tricks


The binary division is the part of binary number system. The binary number are those number in which only two digital and that digits are “0” and “1”. The binary number system is use in digital computer, communication sectors and many more. In this tutorial we are going to discuss the binary division.

The binary arithmetic has four types which are given below:

  1. Binary addition
  2. Binary subtraction
  3. Binary multiplication
  4. Binary division

Binary Division

The important operation of binary asthmatic is binary operation. The binary system has only the number one is “0” and other is “1” and the radix of binary number is “2”. It is mostly commonly use digital computer system and many more.

The binary divisions is similar to other type of binary operation because it is also use binary digits. The binary division and decimal division both are similar. The only difference is that the rules followed using the digits ‘0’ and ‘1’. In binary division the binary asthmatic and binary subtraction is use for the result the binary division.

Binary Division Rules

The binary bits perform arithmetic operation. The same arithmetic operation follows in decimal division. We just need to follow the some binary rule. The binary divisions has some rules are as follows:


The main rules of the binary divisions are given below; it is much similar to decimal division rules:

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

In decimal number system the binary divisions is similar each other. there are following step:

  1. Divide
  2. Multiply
  3. Subtract
  4. Bring down

Comparison with Decimal Value

(01111100)2 = (1111100)= 12410

(0010)2 = (10)2 = 210

The resultant value is 62 when we divide 124 by 2.

And binary equivalent of 62 is (111110)2

(111110)= 6210

How To Do Binary Division?

The solution of binary division is use long division. This long division method is most efficient and easiest way to divide binary bits. For binary division we use some steps. These are given below;

  • Step 1: Compare divisor and dividend. If divisor is large than put 0 as the quotient, than take second bit of the dividend next. If divisor is small than multiply with 1 and the result become the subtrahend. The subtraction result is the remainder.
  • Step 2. The take the next bit and perform the step 1 operation again.
  • Step 3. Repeat the same operation again until reminder will be zero or les then divisor.

Let us understand batter way the binary division operation using the following examples;

Example: two binary bits is A = (011010)2 and B = (0101)2 perform divide operation A by B

Given: Dividend, A = (011010)2 and the divisor, B = (0101)2

Step 1: since zero is the most significant bit, it doesn’t affect the value of the number; let’s remove the zero bit form dividend and divisor. So the dividend becomes (11010)2 and the divisor becomes (101)2


Step 2: we use the long division operation. In this step we compare divisor (101) the first digit in the dividend (11010), since the divisor is smaller, it will be multiplied with 1 and the result will be the subtrahend.

As per the binary multiplication rules:

  • 1 × 1 = 1
  • 1 × 0 = 0
  • 0 × 1 = 0
  • 0 ×0 = 0

So, 101 × 1 = 101, and this result is written below.

Step 3: Subtract the subtrahend 101 from the minuend 110.

Step 4: The next least significant bit comes down and the divisor is multiplied by 1. The multiplication result is 101 and it is bigger than 0011, this step cannot be completed.

Step 5: We write 0 as the next bit of the quotient and then after next bit 0 comes down.

Step 6: Again divisor is multiplied by 1 and the result is 101.

Step 7: As per the binary subtraction, we subtract 101 from 110. We get, 110 – 101 = 001.

The binary division operation is done and we get the result.

  • Quotient = 101
  • Remainder = 001 = 1


Binary division is one of the most important functions of binary arithmetic. A binary number system or second base is a two-digit calculation method: 0 and 1, and represents a 2-base number. Here, the prefix ‘bi’ means’ two. … Binary numerical systems are widely used in computer technology.

Also read- Boolean algebra rules,  Binary Addition,  Binary Numbers, Binary Subtraction

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