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The basic logic gates are the inverter (or NOT gate), the AND gate, the OR gate and the exclusive-OR gate (XOR). If you put an inverter in front of the AND gate, you get the NAND gate etc. One of the common tool in specifying a gate function is the truth table.
Problem: built by interconnecting building-block cells that implement simple functions, like basic logic gates. A commonly used type of standard cell are the and-or-invert (AOI) cells, which can be efficiently built as CMOS complex gates. Consider the AOI cell shown in Figure 3.70. This cell implements.
Example: F = CŁ(A+B)™ Mapping Boolean expressions to logic gates D C A B F 16 AND2 19 NAND2 17 OR2 C F A B 22 AND2 21 NOR2 6! 1-bit binary adder " Inputs: A, B, Carry-in " Outputs: Sum, Carry-out A B Cin S Cout 00 0 00 1 01 0 01 1 10 0 10 1 11 0 11 1 0 1 1 0 1 0 0 1 0 0 0 1 0 1 1 Cout = A’BCin + AB’Cin + ABCin’ + ABCin Sum = A’B ...
F(A,B,C) = ΠM(0,2,4) = M0 • M2 • M4 = (A+B+C)(A+B'+C)(A'+B+C) 20 Example: F = AB+C 21 From SOP to POS and back Minterm to maxterm Use maxterms that aren’t in minterm expansion F(A,B,C) = ∑m(1,3,5,6,7) = ∏M(0,2,4) Maxterm to minterm Use minterms that aren’t in maxterm expansion F(A,B,C) = ∏M(0,2,4) = ∑m(1,3,5,6,7) 22
Lecturer: Dr. Annie Guo. Logic Gates. • Virtually all problems can be solved by digital circuits and systems • The basic elements of digital circuits are logic gates • Logic gates. – ideally have signals of two levels: high and low – perform logic functions, such as NOT, AND, OR, NAND, NOR.
Programming in C is a simplification of the C++ programming. Program Starting Point of ALL C PROGRAMS: Printing Usingprintf() (and include<stdio.h>): 03/printf.c. printf has a variable. int main() { number of arguments: int i = 42; First argument. char *s = "Hello, world!"; float f = 3.14;
» Example: ABC’D where A,B,C, and D are the variables of the function • Sum term a term consisting of literals ORed together A + B+:F’e»Elmpax • Maxterm a Sum term in which all variables appear » Example: A + B + C + D where A, B, C, and D are the variables of the function cs309 G. W. Cox – Spring 2010 The University Of Alabama in Hunt
