In a bank, there are four employees. They are the bank manager, assistant manager, teller and the security guard. The bank has a single vault to store money. This vault was designed such that it needs four signals to open it. These four signals are from the four employees. For the vault to open, it needs to satisfy all of the following conditions: 1. No single employee can open the vault. 2. Can be opened with three employees which includes the manager 3. Can be opened by the manager together with the assistant manager. It is required to design a digital system which will open the vault door if the abovementioned conditions are met.

1.Simplify: (A + C)(AD + AD) + AC + C to its simplest logic function and create a logic diagram 2, Simplify: A(A + B) + (B + AA)(A + B) to its simplest logic function and create a logic diagram 3. Simplify: AB(A+ B)(B+ B) to its simplest logic function and create a logic diagram

i need the answer quickly

6. For the follow logic circuit system, the output f is: 5 (A) ab. (B) a + b. (C) a'+b'. (D) a'b'. a b

. Determine the type of gate is illustrated on below TTL logic gate.Hint: the double-emitter transistor is being used as a pair of diodes, and not as an amplifyingdevice

logic gates

(c) Figure Q3(c)(i) shows a register and Figure Q3(c)(ii) shows the input waveforms (CLOCK and Data in) to the circuit. A1 A9 A10 A2 Function generator A3 A11 A12 AS A13 A6 A14 A7 A15 Data in Bop.7) ip.r 82p.7) Logic analyser U1 U2 U3 U4 UO 6. 1. 6 1 6 INVERTER 3 CLK 3 CLK oCLK CLK 5 K K 5 K K 4027 Clock Function generator Figure Q3(c)(i) (i) Determine the type of register as shown in Figure Q3(c)(i).

Design a combinational circuit using multiplexer for a car chime based on thefollowing system: A car chime or bell will sound if the output of the logic circuit(X) is set to a logic ‘1’. The chime is to be sounded for either of the followingconditions:• if the headlights are left on when the engine is turned off and• if the engine is off and the key is in the ignition when the door is opened.Use the following input names and nomenclature in the design process:• ‘E’ – Engine. ‘1’ if the engine is ON and ‘0’ if the engine is OFF• ‘L’ – Lights. ‘1’ if the lights are ON and ‘0’ if the lights are OFF• ‘K’ – Key. ‘1’ if the key is in the ignition and ‘0’ if the key is not in the ignition• ‘D’ – Door. ‘1’ the door is open and ‘0’ if the door is closed• ‘X’ – Output to Chime. ‘1’ is chime is ON and ‘0’ if chime is OFF

4. For the logic circuit shown in Figure below write the required input condition (A,B,C) to make the output X =1. A B

Design a 5 bits input logic circuit that can be output F to go active (High) under the following conditions: - All inputs are logic 1" - An odd number of inputs are logic 1" - Non of the inputs are logic 1"