Table of Contents
Why Convert from Decimal to Binary?
When converting from decimal to binary, the goal is to convert the number from base 10 to base 2. This can be done by dividing the number by 2 and noting the remainder. This process can be repeated until the number is 0.
Decimal to Binary Conversion Example
In binary, every number is represented by a combination of 0s and 1s. The number 12 can be represented as:
1,000 in decimal is:
In binary, that number would be:
- Converting from binary to decimal can be done by using a calculator, or by hand. To do it by hand, you would divide the number by 2 until you get a number that is not a whole number. For example, the number 1010 (10 in decimal) would be:
- Converting from decimal to binary can also be done by hand, but it is a bit more difficult. You would have to start by writing the number out as a series of powers of 2. For example, the number 15 in decimal would be:
- Then, you would divide each number by 2, and write down the remainders. For example, the number 15 would be:
- From this, you can see that the number 15 can be represented as:
- Similarly, the number 12 can be represented as:
- And the number 9 can be represented as:
- So, in binary, the number 9 would be:
- And the number 12 would be:
How to Convert a Decimal Number System to a Binary Number System?
To convert a decimal number system to a binary number system, divide the decimal number by 2. Keep dividing the decimal number by 2 until you reach 0. The binary number system is the result of the division. For example, to convert the decimal number 12 to a binary number system, divide 12 by 2. Keep dividing 12 by 2 until you reach 0. The binary number system is the result of the division. The binary number system is 1110.
Let us Convert the Decimal Number 244 into a Binary Number.
244 in binary form is:
- 1110000100
We can also write it as:
- 11100000
Decimal to Binary Conversion Solved Example
Convert the decimal number 15 to binary:
- 15 ÷ 2 = 7
- 7 ÷ 2 = 3
- 3 ÷ 2 = 1
The binary number for 15 is 1111.
Decimal to Binary Problems
Convert the following decimal numbers to binary.
1) 5
101
2) 15
1111
3) 45
101101
4) 95
110001001
Importance of Decimal to Binary Conversion Method
The decimal to binary conversion method is important because it allows us to convert numbers from one base to another. This is important because it allows us to communicate with computers, which use binary numbers.
