Computers work by converting physical signals, such as electrical charge, into 1s and 0s which can be processed digitally. The numbering system made of 1s and 0s is called the binary system. In this lesson, we’ll walk through the process of converting the decimal number 206 into a binary number.
Image 1: The Decimal Number 206
The above table breaks down each individual digit in the decimal 206. It’s made by adding six 1s, zero 10s, and two 100s. In other words, 100 + 100 + 1 + 1 + 1 + 1 + 1 + 1 = 206.
Image 1: The Converting 206 to 11001110
The above table does the same thing as the first one, but in binary digits instead of decimal digits. The number is made by adding one 2, one 4, one 8, one 64, and one 128. In other words, 128 + 64 + 8 + 4 + 2 + 1 = 206. In binary, that would be 10000000 + 1000000 + 1000 + 100 + 10 = 11001110
Resumen clave
• Los números decimales usan base 10 (unidades, decenas, centenas).
• Los números binarios usan base 2 (potencias de 2).
• 206 en decimal equivale a 11001110 en binario.