Question 1

How do I convert decimal to binary manually?

Accepted Answer

To convert decimal to binary, repeatedly divide the number by 2 and record the remainders. Read the remainders from bottom to top. For example, 13 ÷ 2 = 6 R1, 6 ÷ 2 = 3 R0, 3 ÷ 2 = 1 R1, 1 ÷ 2 = 0 R1. Reading remainders bottom to top: 1101. So 13 in decimal = 1101 in binary.

Question 2

Why do computers use binary instead of decimal?

Accepted Answer

Computers use binary because electronic components have two stable states: on and off, which map to 1 and 0. Representing more than two states reliably in hardware is much harder and more expensive. Binary math using just two digits maps perfectly to transistor logic, making it the natural choice for all digital systems.

Question 3

What is a bit and a byte?

Accepted Answer

A bit is the smallest unit of data in computing — a single binary digit, either 0 or 1. A byte is 8 bits grouped together. With 8 bits, you can represent 256 different values (2⁸ = 256), which is enough to cover all standard ASCII characters. Most modern systems use multiples of bytes: kilobytes, megabytes, gigabytes, etc.

Question 4

What is the biggest number an 8-bit binary can represent?

Accepted Answer

An 8-bit binary number can represent values from 0 to 255. The maximum is 11111111 in binary, which equals (2⁸ − 1) = 255 in decimal. A 16-bit number can reach 65,535, a 32-bit number up to 4,294,967,295, and a 64-bit number up to 18,446,744,073,709,551,615.

Decimal to Binary Converter

Frequently asked questions

More JSON Tools

About Decimal to Binary Conversion