Binary Division Rules
Binary Division is performed in the same manner as decimal numbers are divided. However, there are some specific rules regarding the division among the binary digits 0 and 1 which we need to follow while performing division of Binary Division. The Binary Division rules is shown in the Binary Division Table below:
Binary Division Table
The rules for Binary Division is tabulated below:
|
Table of Binary Division Rule |
|
|---|---|
|
Rules for Binary Division |
Meaning |
|
0 / 0 = ∞ |
If 0 (zero) is divided by another 0 (zero), then the result is meaningless. |
|
0 / 1 = 0 |
if 0 (zero) is divided by 1 (one), then the result will be 0 (zero). |
|
1 / 0 = ∞ |
If 1 (one) is divided by 0 (zero), then the result is meaningless. |
|
1 / 1 = 1 |
If 1 (one) is divided by another 1 (one), then the result will be 1 (one). |
Binary Multiplication Table
Since, while performing division we need to write numbers below dividend by multiplying quotient and divisor. Hence we should also have the recap of the binary multiplication rule which is tabulated below:
|
Table for Binary Multiplication Rule |
|
|---|---|
|
Rules for Multiplication |
Meaning |
|
0 × 0 = 0 |
If 0 (zero) is multiplied to another 0 (zero), then the result is 0 (zero). |
|
0 × 1 = 0 |
If 0 (zero) is multiplied to 1 (one), then the result is 0 (zero). |
|
1 × 0 = 0 |
If 1 (one) is multiplied to 0 (zero), then the result is 0 (zero). |
|
1 × 1 = 1 |
If 1 (one) is multiplied to another 1 (one), then the result is 1 (one). |
Binary Subtraction Table
Since, in division we continuously subtract the product of quotient and divisor from dividend we need to have a recap of binary subtraction rule which is tabulated below:
|
Table of Binary Subtraction Rule |
|
|---|---|
|
Rules for Subtraction |
Meaning |
|
0 – 0 = 0 |
If 0 (zero) is subtracted from another 0 (zero), then the result is 0 (zero). |
|
0 – 1 = 1 |
If 1 (one) is subtracted from 0 (zero), then the result is 1 (one) with a borrow from next higher significant digit. |
|
1 – 0 = 1 |
If 0 (zero) is subtracted from 1 (one) then the result is 1 (one). |
|
1 – 1 = 0 |
If 1 (one) is subtracted from another 1 (one), then the result is 0 (zero). |
Binary Division
Binary division is a mathematical operation that involves dividing two binary numbers, which are numbers composed of only 0’s and 1’s. Binary division is similar to decimal division, except that the base of the number system is 2 instead of 10.
In this article, we will learn about Binary Numbers, Binary Division, and Rules to perform Binary Division, accompanied by solved examples, practice problems, and answers to frequently asked questions.
Contact Us