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In mathematics and mathematical logic, boolean algebra is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0 respectively. Boolean algebra is used in the analysis and simplification of digital (logic) circuits

1 vote
1 answer
56 views

expressing a boolean function in another way

The following boolean expression is given: g(p,q,r) = ((p->q') -> r) Depict this boolean function only by using the operations ∧ (AND), v (OR), ¬ (NEGATION). How can I do this? I thought I could r …
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1 answer
169 views

Disjunctive Normal Form

The boolean expression: y= (a'+b) * (b(c'+d')) = (a'+b) * (bc' + bd') is given. Find out the disjunctive normal form to this boolean expression. My suggestion: y= a'bc'd' + a'bc'd + a'bcd' + abc' …
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1 answer
125 views

The boolean expression from a circuit

Would the final boolean expression to the circuit be right? Or do I have to multiply the brackets b(c*d)' out to bc' + bd' simulate this circuit – Schematic created using CircuitLab Edit: My n …
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1 answer
398 views

logic gates, implementation [duplicate]

Task: Draw an AND circuit with 8 inputs, a circuit which implements the expression a∧b∧c∧d∧e∧f∧g∧h. Condition: Use only NOR-Gates with two inputs to solve this task. Could anyone give me a hint, wha …