Decimal number system

In formal nomenclature, a decimal numbering system is used. Only a brief description can be given here more complete accounts can be found elsewhere [72,73]. The system requires four numbers. The first number gives the class of enzyme according to the following scheme ... 

The decimal number system is based on the powers of 10. This makes multiplication and division by 10, 100, 1,000. . . very easy. It is simply a matter of moving the decimal point the number of places dictated by the... 

Decimal to binary conversion. The base of binary number system is 2 because it uses only two digits to represent the number. The base of decimal number system is 10 because total 10 digits are used to represent the... 

Before we can discuss the details of the binary numbering system, you must understand a couple of things. First of all, the binary numbers 0 and 1 are not the same as they are in the decimal number systems. Instead, they are just placeholders. They could just have easily been called A and B. Second, we use a few special words to categorize binary numbers ... 

Since we are accustomed to thinking in terms of the decimal (base 10) number system, decade counters are often used in interface systems. They not only count in powers of 10 but can be used to divide clock frequencies in decade rather than binary steps. The decade counter presented in Figure 23.20, along with its timing chart, follows the count sequence presented in Table 23.7. The BCD Binary Coded Decimal) number system is a binary representation of the decimal number system. 

SI Abbreviation for the worldwide standard prepared by the International System of Units. SI is from the French name Le Systeme International d Unites. This standard gives guidance for application of the modernized metric system developed and maintained by the Group Conference on Weights and Measures (CGPM for the official French name Conference Generale des Poids et Mesures). The SI abbreviations were adopted by the eleventh CGPM in 1960. See Appendix B, Conversion Tables decimal number system measurement meter number marker. 

Burks, Goldstine, and von Neumann first identified the principal components of the general-purpose computer as the arithmetic, memory, control, and input-output organs, and then proceeded to formulate the structure and essential characteristics of each unit for the IAS machine. Alternatives were considered and the rationale behind the choice selected presented. Adoption of the binary, rather than decimal, number system was justified by its simplicity and speed in elementary arithmetic operations, its applicability to logical instructions, and the inherent binary nature of electronie components. Built-in floating-point hardware was ruled out, for the prototype at least, as a waste of the critical memory resource, and because of the increased complexity of the circuitry consideration was given to software implementation of such a facility. 

The decimal number system that we use everyday contains 10 digits, 0 through 9. We sometimes call this number system the base-10 number system. The binary number... 

Microelectronics involves digital solid state integrated circuits mounted on single crystal pieces of silicon called chips. The digital system used is binary which means that there are only two numbers involved (0 and 1). This is quite different from the conventional decimal number system where all members consist of combinations of 0 and 1 to 9. Figure 15.9 shows a few numbers in the decimal system together with their binary equivalents. Addition, subtraction, multiplication, and division are much simpler to perform in the binary number system than in the decimal system. 

---