"Pertaining to a number system that has just two unique digits. For most purposes, we use the decimal number system, which has ten unique digits, 0 through 9. All other numbers are then formed by combining these ten digits. Computers are based on the binary numbering system, which consists of just two unique numbers, 0 and 1. All operations that are possible in the decimal system (addition, subtraction, multiplication, division) are equally possible in the binary system."
"The name of a number system made up of only two digits, usually 0 and 1. Any number can be represented in the binary system, although larger numbers are much longer than when expressed in the more familiar decimal system, which uses 10 digits (0 to 9). Computers use the binary system extensively to store, receive, and transmit data. The number "1" in binary is written as 1. The number "2" is written as 10, where the one is in the "twos" position and a zero is in the "ones" position. The numbers one to 10 in binary would be: 1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010. If a set of letters is numbered, letters also can be stored in binary format."
Other Resources
Go here for a useful binary/decimal and decimal/binary conversion tool.
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