28/04/2026
Boolean Duality Principle /āĻŦā§āϞāĻŋā§āĻžāύ āĻĻā§āĻŦā§āϤ āύā§āϤāĻŋ āĻāĻŽāϰāĻž āĻ
āύā§āĻā§āĻ āĻŦā§āĻāĻŋ āύāĻžāĨ¤ āĻāĻāĻā§ āĻāĻāĻžāϰ āĻŦā§āϝāĻžāĻā§āϝāĻž āϞā§āĻāĻžāϰ āĻā§āώā§āĻāĻž āĻāϰāĻāĻŋāĨ¤
āĻŦā§āϞāĻŋāϝāĻŧāĻžāύ āĻ
ā§āϝāĻžāϞāĻā§āĻŦāϰāĻžāϝāĻŧ āĻĻā§āĻŦā§āϤ āύā§āϤāĻŋ āĻŦāϞāϤ⧠āĻāĻŽāύ āĻāĻāĻāĻŋ āĻĒāĻĻā§āϧāϤāĻŋāĻā§ āĻŦā§āĻāĻžāϝāĻŧ, āϝāĻžāϰ āĻŽāĻžāϧā§āϝāĻŽā§ āĻāĻāĻāĻŋ āϏāĻ āĻŋāĻ (Valid) āϏāĻŽā§āĻāϰāĻŖ āĻĨā§āĻā§ āĻ
āĻĒāϰ āĻāĻāĻāĻŋ āϏāĻ āĻŋāĻ āϏāĻŽā§āĻāϰāĻŖ āϤā§āϰāĻŋ āĻāϰāĻž āϝāĻžāϝāĻŧāĨ¤
āĻŦā§āϞāĻŋāϝāĻŧāĻžāύ āĻ
ā§āϝāĻžāϞāĻā§āĻŦāϰāĻžāϝāĻŧ āĻŦā§āϝāĻŦāĻšā§āϤ āϏāĻāϞ āĻŽā§āϞāĻŋāĻ āĻāĻĒāĻĒāĻžāĻĻā§āϝ āĻŦāĻž āϏāĻŽā§āĻāϰāĻŖ āĻāĻ āύā§āϤāĻŋ āĻŽā§āύ⧠āĻāϞā§āĨ¤
#āĻĻā§āĻŦā§āϤ āύā§āϤāĻŋ āĻĒāϰāĻŋāĻŦāϰā§āϤāύā§āϰ āύāĻŋāϝāĻŧāĻŽ:
āĻāĻāĻāĻŋ āϏāĻŽā§āĻāϰāĻŖāĻā§ āĻĻā§āĻŦā§āϤ (Dual) āϏāĻŽā§āĻāϰāĻŖā§ āϰā§āĻĒāĻžāύā§āϤāϰ āĻāϰāϤ⧠āύāĻŋāĻā§āϰ āĻĻā§āĻāĻŋ āĻāĻžāĻ āĻāϰāϤ⧠āĻšāϝāĻŧ:
ā§§. #āĻ
āĻĒāĻžāϰā§āĻāϰ āĻĒāϰāĻŋāĻŦāϰā§āϤāύ: āϏāĻŽā§āĻāϰāĻŖā§ āĻĨāĻžāĻāĻž āϏāĻāϞ OR (+) āĻ
āĻĒāĻžāϰā§āĻāϰāĻā§ AND (.) āĻĻā§āĻŦāĻžāϰāĻž āĻāĻŦāĻ āϏāĻāϞ AND (.) āĻ
āĻĒāĻžāϰā§āĻāϰāĻā§ OR (+) āĻĻā§āĻŦāĻžāϰāĻž āĻĒāϰāĻŋāĻŦāϰā§āϤāύ āĻāϰāϤ⧠āĻšāĻŦā§āĨ¤
⧍. #āĻāĻāĻĄā§āύā§āĻāĻŋāĻāĻŋ āĻĒāϰāĻŋāĻŦāϰā§āϤāύ: āϏāĻŽā§āĻāϰāĻŖā§ āĻĨāĻžāĻāĻž āϏāĻāϞ 0 (Zero)-āĻā§ 1 (One) āĻĻā§āĻŦāĻžāϰāĻž āĻāĻŦāĻ āϏāĻāϞ 1 (One)-āĻā§ 0 (Zero) āĻĻā§āĻŦāĻžāϰāĻž āĻĒāϰāĻŋāĻŦāϰā§āϤāύ āĻāϰāϤ⧠āĻšāĻŦā§āĨ¤
āĻŦāĻŋāĻļā§āώ āĻĻā§āϰāώā§āĻāĻŦā§āϝ:
āĻāĻ āĻĒāϰāĻŋāĻŦāϰā§āϤāύā§āϰ āϏāĻŽāϝāĻŧ āĻāϞāĻ (Variables āϝā§āĻŽāύ: A, B, C) āĻŦāĻž āĻāϞāĻā§āϰ āĻāĻŽāĻĒā§āϞāĻŋāĻŽā§āύā§āĻ āĻāϰ āĻā§āύ⧠āĻĒāϰāĻŋāĻŦāϰā§āϤāύ āĻšāϝāĻŧ āύāĻžāĨ¤
#āĻāĻĻāĻžāĻšāϰāĻŖāϏāĻŽā§āĻš:
ā§§. āĻŽā§āϞāĻŋāĻ āϏā§āϤā§āϰā§āϰ āĻā§āώā§āϤā§āϰā§:
āĻŽā§āϞ āϏāĻŽā§āĻāϰāĻŖ: A + 0 = A
āĻĻā§āĻŦā§āϤ āϏāĻŽā§āĻāϰāĻŖ: A. 1 = A
(āĻāĻāĻžāύ⧠+ āĻĒāϰāĻŋāĻŦāϰā§āϤāĻŋāϤ āĻšā§ā§ . āĻāĻŦāĻ 0 āĻĒāϰāĻŋāĻŦāϰā§āϤāĻŋāϤ āĻšā§ā§ 1 āĻšā§ā§āĻā§)*
⧍. āĻŦāύā§āĻāύ āĻāĻĒāĻĒāĻžāĻĻā§āϝā§āϰ āĻā§āώā§āϤā§āϰā§:
āĻŽā§āϞ āϏāĻŽā§āĻāϰāĻŖ: A . (B + C) = (A . B) + (A . C)
āĻĻā§āĻŦā§āϤ āϏāĻŽā§āĻāϰāĻŖ: A + (B . C) = (A + B) . (A + C)
ā§Š. āϧā§āϰā§āĻŦāĻ āĻŦāĻž āĻāĻāĻĄā§āύā§āĻāĻŋāĻāĻŋāϰ āĻā§āώā§āϤā§āϰā§:
āĻŽā§āϞ āϏāĻŽā§āĻāϰāĻŖ: 1 + 1 = 1
āĻĻā§āĻŦā§āϤ āϏāĻŽā§āĻāϰāĻŖ: 0 . 0 = 0
#āĻā§āϰā§āϤā§āĻŦ:
ICT-āϤ⧠āϞāĻāĻŋāĻ āϏāĻžāϰā§āĻāĻŋāĻ āϏāϰāϞā§āĻāϰāĻŖā§āϰ āĻā§āώā§āϤā§āϰ⧠āĻāĻāĻŋ āĻ
āϤā§āϝāύā§āϤ āĻā§āϰā§āϤā§āĻŦāĻĒā§āϰā§āĻŖāĨ¤ āϝāĻĻāĻŋ āĻāĻāĻāĻŋ āĻŦā§āϞāĻŋāϝāĻŧāĻžāύ āϏāĻŽā§āĻĒāϰā§āĻ āϏāϤā§āϝ āĻšā§, āϤāĻŦā§ āϤāĻžāϰ āĻĻā§āĻŦā§āϤ āϏāĻŽā§āĻĒāϰā§āĻāĻāĻŋāĻ āĻ
āĻŦāĻļā§āϝāĻ āϏāϤā§āϝ āĻšāĻŦā§āĨ¤ āĻāĻāĻŋ āĻāĻŽāĻžāĻĻā§āϰ āύāϤā§āύ āύāϤā§āύ āϏā§āϤā§āϰ āĻŦāĻž āϞāĻāĻŋāĻ āĻĄāĻŋāĻāĻžāĻāύ āĻŦā§āĻāϤ⧠āϏāĻžāĻšāĻžāϝā§āϝ āĻāϰā§āĨ¤
#āĻāĻāϏāĻŋāĻāĻŋ #āĻŦā§āϞāĻŋā§āĻžāύ