The expression A + AC + ACD + ACDE + ... is equal to ________.

Question

Question

This question was previously asked in

KVS TGT WET (Work Experience Teacher) 8 Jan 2017 Official Paper

Answer 1

Concept of OR Operation:

OR gate is a multi-input, single-output gate which has its output equal to logic ‘zero’ when all the inputs to the gate are low.
Further for all other remaining combinations of inputs, wherein at least one of the inputs will be high, the output will be logically high.

eg: 1 + 0 = 1

1 + X = 1

1 + A + B + C = 1

Application:

We have,

Y = A + AC + ACD + ACDE + ...

or, Y = A(1 + C + CD + ......) = A.1 = A