today you are learning....... 1. to explain why data is represented in computer systems in binary...
TRANSCRIPT
TODAY YOU ARE LEARNING.......
1. to explain why data is represented in computer systems in binary form
2. to understand and produce simple logic diagrams using the operations NOT, AND and OR
3. to produce a truth table from a given logic diagram.
LOGIC GATES
SOLVE THESE LOGIC PROBLEMS
http://www.think-logically.co.uk/lt.htm
Starter - http://www.logic-puzzles.org/game.php?u2=259141ce8e168b457b53b6b9d9a8bcee
Starter 2 - http://www.logic-puzzles.org/game.php?u2=a4d4c77ef9e37009fb233bf8f170a395
Further Reading http://www.ee.surrey.ac.uk/Projects/CAL/digital-logic/gatesfunc/index.html#orgate
AND GATE
Input A Input B Output (Q)
0 0
0 1
1 0
1 1
Produces an output only if both inputs are on
CAN YOU DRAW A CIRCUIT THAT WOULD ACT LIKE AN AND GATE?
OR GATEProduces an output when one or the other input are active….
Input A Input B Output (Q)
0 0
0 1
1 0
1 1
CAN YOU DRAW A CIRCUIT THAT WOULD ACT LIKE AN OR GATE?
NOT GATE
A NOT gate inverts its input
Input (A) Output (Q)
0
1
CAN YOU DRAW A CIRCUIT THAT WOULD ACT LIKE AN NOT GATE?
SOME EXTRAS TO FRY YOUR BRAIN
NAND IS AN “INVERTED AND GATE”
NOT AND = NAND
Input A Input B A.B Output (Q)=A.B
0 0
0 1
1 0
1 1
CAN YOU DRAW A CIRCUIT THAT WOULD ACT LIKE AN NAND GATE?
A NOR gate is simply an inverted OR gate. Output is high when neither input A nor input B is high:
NOT OR =NOR
Input A Input B A+B Output (Q) A+B
0 0
0 1
1 0
1 1
CAN YOU DRAW A CIRCUIT THAT WOULD ACT LIKE AN NOR GATE?
An XOR gate is constructed similarly to an OR gate, except with an additional NAND gate inserted such that
if both inputs are high, the inputs to the final NAND gate will also be high, and the output will be low.
XOR – EXCLUSIVE OR
Input A Input B Output (Q)
0 0
0 1
1 0
1 1
CAN YOU DRAW A TRUTH TABLE?
CAN YOU DRAW A TRUTH TABLE?
NOT GATE
AND GATE