Understanding Decimal to Binary Conversion

Binary representation is fundamental in computing as it directly corresponds to electrical signals (on/off states) in digital circuits. Understanding this conversion helps in low-level programming, network addressing, and hardware design.

Conversion Steps

Divide the decimal number by 2
Record the remainder (0 or 1)
Use the quotient from step 1 for the next division
Repeat until the quotient becomes 0
The binary equivalent is the remainders read from bottom to top

Examples

Decimal	Binary
0	0
5	101
10	1010
255	11111111

Note: Binary numbers can become very long for large decimal values. Negative numbers are typically represented using two's complement notation in computing systems.

Frequently Asked Questions

Why is binary used in computers?

Binary systems are used because they directly correspond to on/off states in electronic circuits, making them reliable and easy to implement in hardware.

How do I convert fractional decimal numbers?

Multiply the fractional part by 2 repeatedly, using the integer part of each result as the binary digits after the decimal point.

What is the maximum number representable with 8 bits?

8 bits can represent 256 different values (2^8), ranging from 0 to 255 in unsigned representation.

Decimal to Binary Converter

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Decimal to Binary Converter - Base 10 to Base 2

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