Given the SOP function:
f(a,b,c,d) = Σ m ( 1 , 3 , 4 , 5...
Given the SOP function:
f(a,b,c,d) = Σ m ( 1 , 3 , 4 , 5 , 6 , 7 , 10 , 12 , 13 ) + Σ d
( 2 , 9 , 15 )
Use the Quine-McCluskey method to show that the minimum output
function, f, is:
f (a,b,c,d) = b'cd' + bc' + a'd + a'b or f(a,b,c,d) = b'cd' +
bc' + a'd + a'c
Find the minimum sum-of-products expression for the following
functions using the LogicAid Karnaugh Map Tutorial
mode:...
Find the minimum sum-of-products expression for the following
functions using the LogicAid Karnaugh Map Tutorial
mode:
1. f(a,b,c,d) = ?m (0,2,3,4,7,8,14)
2. f(a,b,c,d) = ?M(1,2,3,4,9,15)
3. f(a,b,c,d) = ?M(0,2,4,6,8)* ?D(1,12,9,15)
1. Implement the given logic function using a 4:1 MUX. F(A,B,C)
= Σm(0,1,3,7)
Show the truth...
1. Implement the given logic function using a 4:1 MUX. F(A,B,C)
= Σm(0,1,3,7)
Show the truth table, the 4:1 MUX schematic with the inputs,
select inputs and the output.
2. For an 8:3 priority encoder:
a) Draw the schematic.
b) Write the truth table.
c) Write the Boolean expressions for each of the outputs in
terms of the inputs.
d) Draw the logic circuit for the outputs in terms of the
inputs.
3. Perform logic minimization to the following logic
functions:
(c) h(A, B, C, D, E, F)...
3. Perform logic minimization to the following logic
functions:
(c) h(A, B, C, D, E, F) =
Sm(0,1,4,5,14,15,16,17,20,21,23,31,35,37,38,39,42,43,44,45,47,52,53,55,
56, 57, 61, 62, 63)
(e)f2(A,B,C,D,E,F) =
PM(0,2,5,7,8,10,13,15,16,18,21,23,24,26,29,31,32,34,37,42,45,46,47,
48, 50, 53, 58, 61)
1) Implement the given logic function using a 4:1 MUX. (Ref: Lec
16, slide 5)
F(A,B,C)...
1) Implement the given logic function using a 4:1 MUX. (Ref: Lec
16, slide 5)
F(A,B,C) = Σm(0,1,3,7)
Show the truth table, the 4:1 MUX schematic with the inputs,
select inputs and the output.
2) For an 8:3 priority encoder:
a) Draw the schematic.
b) Write the truth table.
c) Write the Boolean expressions for each of the outputs in
terms of the inputs.
d) Draw the logic circuit for the outputs in terms of the
inputs.