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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 ...
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 ...
Logic gates and truth tables Implementing logic functions Canonical forms Sum-of-products Product-of-sums 2 Logic gates and truth tables AND X•Y XY OR X + Y NOT X' X X Y Z ... Example: F = AB+C 21 From SOP to POS and back Minterm to maxterm Use maxterms that aren’t in minterm expansion
A logic gate is a simple electric circuit consisting of two inputs and a single output. The most frequent names for logic gates are AND, OR, NOT, XOR (Exclusive or), NAND (NOT AND), and NOR. An OR logic gate begins with the provision of two electrical inputs.
Lecture 32. Digital Logic Gates. Reading: Jaeger 6.1-6.4 and Notes. NOT or Inverter Gate: (Asks, is the input false?) Input Output. A Z. Logic Function: Z A. False=State “0” True=State “1” AND Gate: (Asks, are all inputs true?) Inputs. Logic Function: Output. . AB. OR Gate: (Asks, is any input true?) Inputs. Logic Function: Z.
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.
This lab manual provides an introduction to digital logic, starting with simple gates and building up to state machines. Students should have a solid understanding of algebra as well as a rudimentary understanding of basic
