Logic circuits

Hey guys, I'm currently studying logic circuits for my exams and came across a question "7. An electrical circuit is set up with four switches. A lamp will light only if the following happens:
 Switches A and B are both on.
 Either Switch C or Switch D is on, but not both.
Draw a logic circuit to represent this" I made a AND gate for A and B, made a XOR gate for C and D but dont know how to close the circuit into one output as I now have two outputs. I hope you guys understand my situation and help with it, Thank you.

Reply 1

uberteknik

Original post by fadi tariq

hey guys, i'm currently studying logic circuits for my exams and came across a question "7. An electrical circuit is set up with four switches. A lamp will light only if the following happens:
 switches a and b are both on.
 either switch c or switch d is on, but not both.
Draw a logic circuit to represent this" i made a and gate for a and b, made a xor gate for c and d but dont know how to close the circuit into one output as i now have two outputs. I hope you guys understand my situation and help with it, thank you.

(A\bullet B) \bullet (C\oplus D)

(edited 5 years ago)

Reply 2

BlindRadio

Original post by uberteknik

(A\bullet B) + (C\oplus D)

Hello uberteknik, thank you for your answer but I don't understand what you mean by the bullet point and plus which gates are they supposed to represent?

Reply 3

uberteknik

Original post by Fadi Tariq

Hello uberteknik, thank you for your answer but I don't understand what you mean by the bullet point and plus which gates are they supposed to represent?

No worries.

I've looked at it again this morning and noticed I made an an error which is corrected below. Apologies (it was 3 in the morning! Lol)

F = (A\bullet B) \bullet (C\oplus D)

A\bullet B

= A AND B

C\oplus D

= C EXOR D

+ = OR

The AND function arises from the question which stated 'the lamp will only be on when', then gives two conditional logic statements.

i.e. The AND function is implied but not explicitly stated in this particular question.