By John Y. Hsu
An realizing of contemporary desktop good judgment - incorporating middle wisdom of quantity structures, quantity conversions, Boolean algebra, thoughts, and good judgment circuits - is key to additional research of laptop architectures, approach software program, and desktop networks. Computer common sense: Design ideas and Applications introduces and describes the correct thoughts, ideas and functions of recent desktop common sense layout. The ebook is self-contained, with an introductory bankruptcy that concisely covers the background of computing units, in addition to quantity platforms, quantity conversions, signed and unsigned integers, exterior code, and electronic and digitizing suggestions. committed chapters on Boolean algebra, transistor circuits, combinatorial common sense circuits, and sequential common sense circuits around off the paintings. The emphasis is on layout and applications.
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Additional resources for Computer Logic: Design Principles and Applications
100 3. 255 4. 4 Convert the following 16-bit unsigned binary numbers to hex and decimal: 1. 0111 1111 1111 1111 3. 0001 0001 0001 0001 2. 1000000000000000 4. 5 Convert each of the following 4-digit hex numbers to 16-bit binary numbers: 1. CDEF 2. 1234 3. OOFF 4. FFOO 1. 5. 3, write its twos complement in hex notation. When we negate each signed integer, we can complement first and add 1, or we can subtract 1 first and then complement. Do we obtain the same result? 8 Given 4 bits, write all the signed integers from -8 to 7 in binary.
Truth table of the function. Input Output X y Z 1 \1 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 1 2. 41 BOOLEAN ALGEBRA With one variable, it is a basic theorem such that (\X + X) = 1. With two or more variables, we can apply the distributive law to expand the function into a product of all sums. If X represents one of the variables, each sum is in the form of (\X + X). Because each sum is equal to 1, the product of all Is is 1. From the truth table, we can see that when all the output entries are Is, the function is 1.
From the map of the OR function, we can group the two vertical Is to eliminate variable A. We can group the two horizontal Is to eliminate variable B. As a result, the simplified form is (A + B). 3. The three-variable Karnaugh maps for: (a) \A \8 C + \A 8\C + \A 8 C + A 8 C and (b) \X2 X1 + \XO (X2 + X1). Given three variables A, B, and C, the three-variable map has eight boxes. Vertically, we have 0, 1 for variable A. Horizontally, we have a two-bit number 00,01, 11, and 10 for variables Band C.