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Binary Numbers

Conversion between 4142 and 1000000101110

The below table visualizes how the decimal number 4142 equals the binary number 1000000101110.

1×212=4096
+0×211=0
+0×210=0
+0×29=0
+0×28=0
+0×27=0
+0×26=0
+1×25=32
+0×24=0
+1×23=8
+1×22=4
+1×21=2
+0×20=0
=4142

About Binary Numbers

Binary numbers are a positional numeral system with the base (or "radix") 2. This means that binary digit (or "bit") only has two states: 1 and 0. As a result, binary numbers are well suited for electronic circuits since they can be represented as ON or OFF states, and they're therefore used as the fundamental data format in computers. A collection of 8 bits is commonly referred to as Byte. There are 28 different combinations of bits in a byte, and it can therefore be used to represent integers between 0 and 255. To represent one quadrillion (the largest number supported on integers.info), a total of 50 bits are required.