Download Logic & Computer Design Fundamentals (5th Edition) by M. Morris R. Mano, Charles R. Kime, Tom Martin PDF

By M. Morris R. Mano, Charles R. Kime, Tom Martin

ISBN-10: 0133760634

ISBN-13: 9780133760637

For classes in common sense and laptop design.

 

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Extra resources for Logic & Computer Design Fundamentals (5th Edition)

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This procedure is best explained by example. Example 1-4 Conversion of Decimal Integers to Octal Convert decimal 153 to octal: The conversion is to base 8. First, 153 is divided by 8 to give a quotient of 19 and a remainder of 1, as shown in blue. Then 19 is divided by 8 to give a quotient of 2 and a remainder of 3. Finally, 2 is divided by 8 to give a quotient of 0 and a remainder of 2. The coefficients of the desired octal number are obtained from the remainders: 153/8 = 19 + 1/8 Remainder = 1 19/8 = 2 + 3/8 =3 2/8 = 0 + 2/8 (153)10 = (231)8 = 2 Least significant digit Most significant digit ■ Note in Example 1-4 that the remainders are read from last to first, as indicated by the arrow, to obtain the converted number.

The chapter then describes manual methods of optimizing combinational logic circuits to reduce the number of logic gates that are required. While these manual optimization methods are only practical for small circuits 37 38 CHAPTER 2 / Combinational Logic Circuits and only for optimizing gate count, they illustrate one of the constraints involved in designing combinational logic. The methods also have many aspects in common with methods that are used on much larger circuits and other types of constraints.

Therefore, the partial products are equal either to the multiplicand or to 0. Multiplication is illustrated by the following example: Multiplicand: Multiplier: 1011 * 101 1011 0000 1011 Product: 110111 Arithmetic operations with octal, hexadecimal, or any other base r system will normally require the formulation of tables from which one obtains sums and products of two digits in that base. An easier alternative for adding two numbers in base r is to convert each pair of digits in a column to decimal, add the digits in decimal, and then convert the result to the corresponding sum and carry in the base r system.

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