10000 Decimal to Binary Conversion
Introduction
In this article, we will explore how to convert the decimal number 10000 to its binary equivalent.
What is Decimal?
Decimal is a number system with a base of 10. It uses 10 distinct symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. This is the most commonly used number system in everyday life.
What is Binary?
Binary is a number system with a base of 2. It uses only two distinct symbols: 0 and 1. This number system is used by computers to process and store information.
Conversion Method
To convert a decimal number to binary, we can use the following method:
- Divide the decimal number by 2.
- Get the remainder (either 0 or 1).
- Repeat step 1 with the quotient until the quotient is 0.
- The binary representation is the sequence of remainders in reverse order.
Converting 10000 to Binary
Let's apply the above method to convert 10000 to binary:
- Divide 10000 by 2:
10000 ÷ 2 = 5000 with a remainder of 0
- Divide 5000 by 2:
5000 ÷ 2 = 2500 with a remainder of 0
- Divide 2500 by 2:
2500 ÷ 2 = 1250 with a remainder of 0
- Divide 1250 by 2:
1250 ÷ 2 = 625 with a remainder of 0
- Divide 625 by 2:
625 ÷ 2 = 312 with a remainder of 1
- Divide 312 by 2:
312 ÷ 2 = 156 with a remainder of 0
- Divide 156 by 2:
156 ÷ 2 = 78 with a remainder of 0
- Divide 78 by 2:
78 ÷ 2 = 39 with a remainder of 0
- Divide 39 by 2:
39 ÷ 2 = 19 with a remainder of 1
- Divide 19 by 2:
19 ÷ 2 = 9 with a remainder of 1
- Divide 9 by 2:
9 ÷ 2 = 4 with a remainder of 1
- Divide 4 by 2:
4 ÷ 2 = 2 with a remainder of 0
- Divide 2 by 2:
2 ÷ 2 = 1 with a remainder of 0
- Divide 1 by 2:
1 ÷ 2 = 0 with a remainder of 1
Binary Representation
The binary representation of 10000 is the sequence of remainders in reverse order:
10000 in binary is 10011100010000
In conclusion, we have successfully converted the decimal number 10000 to its binary equivalent using the division method.
