The logic function F- AC + ABB + ACD is to be realized using an 8 to 1 multiplexer shown in the Figure, using A, C and Das control inputs. (1) Indicate the inputs to the applied at the terminals 0 to 7. (II) Can the function be realize using a 4 to 1 multiplexer?
The logic function F- AC + ABB + ACD is to be realized using an 8 to 1 multiplexer shown in the Figure, using A, C and Das control inputs. (1) Indicate the inputs to the applied at the terminals 0 to 7. (II) Can the function be realize using a 4 to 1 multiplexer?
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![Boolean Function Implementation by using MUX
Task ID: 54B
For implementing any Boolean function of n-variables with a 2": 1 MUX, we required some
general
procedure.
(1) Express the function in its sum of product (SOP) form.
In the ordered sequence of n-variables, connect (n-1) variables to the select line and the
single highest order position variable to the input line with complemented or
uncomplemented form including 0 and 1.
(ii) List the inputs of MUX (all the minterms) in two rows. The 1st row lists all those minterms
where single variable is complemented and in 2nd row with uncomplemented form.
Circle all the minterms of the function and inspect each column separately.
If two minterms in a column are not circled, apply '0' to the corresponding MUX input.
(iii) If two minterms are circled, apply '1' to the corresponding MUX input.
(iv) If one minterm is circled (either upper row or lower row), then its front value is the
corresponding MUX input.
Now,
The logic function F = AC + ABD + ACD is to be
realized using an 8 to 1 multiplexer shown in the Figure, using A, C and Das control inputs.
(1) Indicate the inputs to the applied at the terminals 0 to 7.
(II) Can the function be realize using a 4 to 1 multiplexer?
MUX
O12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3316840f-2811-49a3-93c3-908592b89a60%2F699f9aeb-778a-4681-a374-d0bbd14c8884%2F4y1ifjb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Boolean Function Implementation by using MUX
Task ID: 54B
For implementing any Boolean function of n-variables with a 2": 1 MUX, we required some
general
procedure.
(1) Express the function in its sum of product (SOP) form.
In the ordered sequence of n-variables, connect (n-1) variables to the select line and the
single highest order position variable to the input line with complemented or
uncomplemented form including 0 and 1.
(ii) List the inputs of MUX (all the minterms) in two rows. The 1st row lists all those minterms
where single variable is complemented and in 2nd row with uncomplemented form.
Circle all the minterms of the function and inspect each column separately.
If two minterms in a column are not circled, apply '0' to the corresponding MUX input.
(iii) If two minterms are circled, apply '1' to the corresponding MUX input.
(iv) If one minterm is circled (either upper row or lower row), then its front value is the
corresponding MUX input.
Now,
The logic function F = AC + ABD + ACD is to be
realized using an 8 to 1 multiplexer shown in the Figure, using A, C and Das control inputs.
(1) Indicate the inputs to the applied at the terminals 0 to 7.
(II) Can the function be realize using a 4 to 1 multiplexer?
MUX
O12
![If two minterms in a column are not circled, apply '0' to the corresponding MUX input.
(ii) If two minterms are circled, apply '1' to the corresponding MUX input.
(iv) If one minterm is circled (either upper row or lower row), then its front value is the
corresponding MUX input.
Now,
The logic function F = AC + ABD + ACD is to be
realized using an 8 to 1 multiplexer shown in the Figure, using A, C and Das control inputs.
(1) Indicate the inputs to the applied at the terminals 0 to 7.
(II) Can the function be realize using a 4 to 1 multiplexer?
MUX
2
4.
F
6
7
D C A
LSB](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3316840f-2811-49a3-93c3-908592b89a60%2F699f9aeb-778a-4681-a374-d0bbd14c8884%2Fh9albgd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If two minterms in a column are not circled, apply '0' to the corresponding MUX input.
(ii) If two minterms are circled, apply '1' to the corresponding MUX input.
(iv) If one minterm is circled (either upper row or lower row), then its front value is the
corresponding MUX input.
Now,
The logic function F = AC + ABD + ACD is to be
realized using an 8 to 1 multiplexer shown in the Figure, using A, C and Das control inputs.
(1) Indicate the inputs to the applied at the terminals 0 to 7.
(II) Can the function be realize using a 4 to 1 multiplexer?
MUX
2
4.
F
6
7
D C A
LSB
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