Decimal to Binary Converter
Decimal to Binary Converter
Converting decimal to binary is a fundamental skill in computer science. It helps you understand how computers store and process numbers.
Conversion Formula
Repeatedly divide the number by 2. The sequence of remainders, read in reverse order, gives the binary representation.
Step-by-Step Examples
10 = 1010
10÷2=5r0, 5÷2=2r1, 2÷2=1r0, 1÷2=0r1. Read up: 1010
255 = 11111111
The largest value in one byte.
Frequently Asked Questions
How do you convert decimal to binary?
Divide the number by 2 repeatedly, writing down the remainder each time. Read the remainders from bottom to top to get the binary number.
What is 255 in binary?
255 in decimal equals 11111111 in binary — all 8 bits set to 1.
What is 1024 in binary?
1024 in binary is 10000000000 (1 followed by 10 zeros). It equals 2¹⁰.
Can negative numbers be converted to binary?
Yes, using two's complement notation. This converter handles non-negative integers.
What is the largest decimal number an 8-bit binary can represent?
255 (11111111). With n bits, the maximum value is 2ⁿ - 1.