What is aNumber System?
A number system is a writing system for expressing
numbers. It is a mathematical notation for representing
numbers of a given set, using digits or other symbols in
a consistent manner.
3.
Base 10 (Decimal)Number
System
The decimal number system, also known as base 10, is
the standard system for denoting integer and non-
integer numbers. It uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7,
8, and 9.
4.
Base 2 (Binary)Number
System
The binary number system, also known as base 2, is
used internally by almost all modern computers and
computer-based devices. It uses only two digits: 0 and
1.
5.
Converting from Decimalto
Binary
To convert a decimal number to binary:
1. Divide the decimal number by 2.
2. Write down the remainder (0 or 1).
3. Divide the quotient by 2.
4. Repeat steps 2 and 3 until the quotient is 0.
5. The binary number is the sequence of remainders
read from bottom to top.
Converting from Binaryto
Decimal
To convert a binary number to decimal:
1. Write down the binary number.
2. Starting from the right, multiply each binary digit by
2 raised to the power of its position.
3. Sum all the products.
Conclusion
Understanding base10 and base 2 number systems is
fundamental in digital electronics and computer
science. The ability to convert between these systems
allows for better comprehension of how computers
process and store data.
