Binary Codes and Arithmetic Processes

Abstract

Just as we express a decimal number as a series of multiples of powers of ten, it is also possible to express the same number as a series of multiples of powers of 2. For example, the decimal number 14 is represented in decimal form as

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The same number expressed in binary form is

$$$$

or, expressed in binary-coded decimal form (see also section 9.9) the decimal number 14 is 8 + 4 + 2 + 0 = 14.