Hello all, I am currently working on a project that requires me to build a circuit on multisim and then breadboard the design. I am currently having trouble in the multisim portion of the project. I'm posting all the information regarding what I have below.
What I'm supposed to do:
Design a combinational logic circuit and display it results on a sevensegment display
I have attached a photo of what I have done.
Birthday Boolean
(sorry, the truth table gets a bit messed up when I copy it in here)
A B C Date a b c d e f g
0  0 0 0 0 0 0 0 0 0 0 1
1  0 0 1 1 0 0 1 1 1 1 1
2  0 1 0  1 1 1 1 1 1 0
3  0 1 1 2 0 1 0 0 1 0 0
4  1 0 0 1 0 0 1 1 1 1 1
5  1 0 1  1 1 1 1 1 1 0
6  1 1 0 9 0 0 0 1 0 0 0
7  1 1 1 4 0 0 1 1 0 1 0
Equations:
a = A’BC’ + AB’C
b = A’BC’ + A’BC + AB’C
c = A’B’C + A’BC’ + AB’C’ + AB’C + ABC
d = A’B’C + A’BC’ + AB’C’ + AB’C + ABC’ + ABC
e = A’B’C + A’BC’ + A’BC + AB’C’ + AB’C
f = A’B’C + A’BC’ + AB’C’ + AB’C + ABC
g = A’B’C’ + A’B’C + AB’C’
All together:
(A’BC’ + AB’C) + (A’BC’ + A’BC + AB’C) + (A’B’C + A’BC’ + AB’C’ + AB’C + ABC) + (A’B’C + A’BC’ + AB’C’ + AB’C + ABC’ + ABC) + (A’B’C + A’BC’ + A’BC + AB’C’ + AB’C) + (A’B’C + A’BC’ + AB’C’ + AB’C + ABC) + (A’B’C’ + A’B’C + AB’C’)
Simplified:
a = AB’C + A’BC’
b = A’B + AB’C
c = AC + B'C + AB' + A'BC'
d = A + B'C + BC'
e = B'C + A’B + AB'
f = AC + B'C + AB' + A'BC'
g = A'B' + B'C'
(AB’C + A’BC’) + (A’B + AB’C) + (AC + B’C + AB’ + A’BC’) + (A + B’C + BC’) + (B'C + A’B + AB') + (AC + B'C + AB' + A'BC') + (A'B' + B'C')
NOTE: U7 AND is currently unattached.
Thanks in advance for any help.
What I'm supposed to do:
Design a combinational logic circuit and display it results on a sevensegment display
I have attached a photo of what I have done.
Birthday Boolean
(sorry, the truth table gets a bit messed up when I copy it in here)
A B C Date a b c d e f g
0  0 0 0 0 0 0 0 0 0 0 1
1  0 0 1 1 0 0 1 1 1 1 1
2  0 1 0  1 1 1 1 1 1 0
3  0 1 1 2 0 1 0 0 1 0 0
4  1 0 0 1 0 0 1 1 1 1 1
5  1 0 1  1 1 1 1 1 1 0
6  1 1 0 9 0 0 0 1 0 0 0
7  1 1 1 4 0 0 1 1 0 1 0
Equations:
a = A’BC’ + AB’C
b = A’BC’ + A’BC + AB’C
c = A’B’C + A’BC’ + AB’C’ + AB’C + ABC
d = A’B’C + A’BC’ + AB’C’ + AB’C + ABC’ + ABC
e = A’B’C + A’BC’ + A’BC + AB’C’ + AB’C
f = A’B’C + A’BC’ + AB’C’ + AB’C + ABC
g = A’B’C’ + A’B’C + AB’C’
All together:
(A’BC’ + AB’C) + (A’BC’ + A’BC + AB’C) + (A’B’C + A’BC’ + AB’C’ + AB’C + ABC) + (A’B’C + A’BC’ + AB’C’ + AB’C + ABC’ + ABC) + (A’B’C + A’BC’ + A’BC + AB’C’ + AB’C) + (A’B’C + A’BC’ + AB’C’ + AB’C + ABC) + (A’B’C’ + A’B’C + AB’C’)
Simplified:
a = AB’C + A’BC’
b = A’B + AB’C
c = AC + B'C + AB' + A'BC'
d = A + B'C + BC'
e = B'C + A’B + AB'
f = AC + B'C + AB' + A'BC'
g = A'B' + B'C'
(AB’C + A’BC’) + (A’B + AB’C) + (AC + B’C + AB’ + A’BC’) + (A + B’C + BC’) + (B'C + A’B + AB') + (AC + B'C + AB' + A'BC') + (A'B' + B'C')
NOTE: U7 AND is currently unattached.
Thanks in advance for any help.
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