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We implement a dynamically flexible logic-gate using a chaotic erbium doped fiber lasers. Experimental results are presented, which demonstrate the ability to change the type of logic-gate by...
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Lecture 11 - Logic gates and Boolean. 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. All possible combination of the inputs 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
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 ...
NAND gate performs the opposite function to an AND gate. A logic gate is a small transistor circuit, basically a type of amplifier, which is implemented in different forms within an integrated circuit. Each type of gate has one or more (most often two) inputs and one output.
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.
SOP to “AND-OR”. An SOP expression can be directly implemented in a two-level combinational circuit with an AND gate for each product term and an OR gate to combine the terms. Example: f(xyz) = x + x’y + x’y’z. x. x’. y x’ y’ f(xyz) z.
