Assignment 7 solutions Karnaugh Map for b Truth

Assignment 7 solutions Karnaugh Map for "b" Truth Table BA 00 01 11 10 00 1 1 01 1 0 11 x x 10 1 1 x x DC

Another Example: 7 segment displays BA 00 01 11 10 DC 00 1 1 01 1 0 1 11 x x 10 1 1 DC BA 00 01 11 10 00 1 1 0 01 1 0 1 0 x x 10 1 1

Another Example: 7 segment displays BA 00 01 11 10 DC 00 1 1 01 1 0 1 11 1 0 10 1 1 DC C'+A'B'+AB BA 00 01 11 10 00 1 1 0 01 1 0 1 0 11 1 0 1 1 10 1 1

Another Example: 7 segment displays Karnaugh Map for "f" Truth Table BA 00 01 11 10 00 1 0 01 1 1 0 1 11 x x 10 1 1 x x DC

Another Example: 7 segment displays BA 00 01 11 10 00 1 0 0 0 1 01 1 1 0 1 x x 11 1 1 x x 10 1 1 00 01 11 10 DC 00 1 0 01 1 1 0 11 x x 10 1 1 DC BA

D BA B'A' 00 01 11 10 DC 00 1 0 01 1 1 0 11 1 1 10 1 1 DC BA 00 01 11 10 00 1 0 0 0 1 01 1 1 0 1 11 1 1 1 10 1 1 00 01 11 10 B'C BA A'C BA 00 01 11 10 DC 00 1 0 0 0 01 1 1 0 1 11 1 10 1 1 1 1 DC

B'C+A'C+B'A'+D

A water purification plant uses one tank for chemical sterilization and a second, larger tank for settling and aeration. Each tank is equipped with two sensors that measure the height of water in each tank and the flow rate of water into each tank. When the height or the flow rate of water is too high, the sensors produce a logic high output. Design a logic circuit that sounds an alarm whenever the height of water in both tanks is too high and either of the flow rates is too high, or whenever both flow rates are too high and the height of water in either tank is too high Af Ah Bf Bh O 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 1 1 B f. B h A f. A h 00 01 11 10 00 0 0 01 0 0 11 0 1 10 0 0 1 0 A f. A h B h + A f. A h B f+ B f. B h A h Af. Ah(Bf+Bh) + Bf. Bh(Af+Ah)

A water purification plant uses one tank for chemical sterilization and a second, larger tank for settling and aeration. Each tank is equipped with two sensors that measure the height of water in each tank and the flow rate of water into each tank. When the height or the flow rate of water is too high, the sensors produce a logic high output. Design a logic circuit that sounds an alarm whenever the height of water in both tanks is too high and either of the flow rates is too high, or whenever both flow rates are too high and the height of water in either tank is too high Af. Ah(Bf+Bh) + Bf. Bh(Af+Ah)