Correct spelling for the English word "DECBIN" is [dɪkbˈɪn], [dɪkbˈɪn], [d_ɪ_k_b_ˈɪ_n] (IPA phonetic alphabet).
DECBIN is a term commonly used in the field of computer science and mathematics. It is a combination of two words: "dec" which stands for decimal, and "bin" which stands for binary. DECBIN refers to the process of converting a decimal number into its binary equivalent.
In the decimal number system, numbers are expressed in base-10, meaning they have 10 digits (0-9). On the other hand, the binary number system uses only two digits (0 and 1) and is base-2. DECBIN involves the conversion of a given decimal number into a binary number by utilizing the rules of the binary system.
To perform DECBIN conversion, a decimal number is successively divided by 2, while noting down the remainder at each step. This process is repeated until the decimal quotient becomes zero. The binary representation is obtained by taking the remainders in reverse order.
For example, the DECBIN conversion of the decimal number 10 would yield the binary equivalent 1010. This is obtained by dividing 10 by 2, with a remainder of 0, and then dividing the quotient (5) by 2, resulting in a remainder of 1. This process is repeated until the quotient becomes zero, and the sequence of remainders (0, 1, 0, 1) is reversed to obtain the binary representation (1010).
DECBIN conversion is essential in various computer applications, such as digital electronics and programming, where binary representation is used extensively. It provides a means to express decimal numbers in a binary format, enabling efficient computational operations and data representation.