Given the logic function F(A,B,C,D) = Σm(1,2,3,4,9,10,11,12) (i) Write the truth table of the logic function. (ii) Use the Karnaugh-map method to find the simplest sum-of-products (SOP) expression of function F. (iii) Implement the minimized function with NAND gates only. (iv) Show that the Boolean function F can be constructed using exclusive-OR gates (v) Express the same logic function in a product-of-sums (POS) form. (vi) Simplify your function in product-of-sums (POS). (vii) Use a decoder with external AND gates only to implement F in its product-of- sums (POS) form (assume AND gates with any number of inputs are available). Note: You can use NAND gates with any number of inputs you may need. Assume, as well, that the input variables are available in both true and complemented form.
Given the logic function F(A,B,C,D) = Σm(1,2,3,4,9,10,11,12) (i) Write the truth table of the logic function. (ii) Use the Karnaugh-map method to find the simplest sum-of-products (SOP) expression of function F. (iii) Implement the minimized function with NAND gates only. (iv) Show that the Boolean function F can be constructed using exclusive-OR gates (v) Express the same logic function in a product-of-sums (POS) form. (vi) Simplify your function in product-of-sums (POS). (vii) Use a decoder with external AND gates only to implement F in its product-of- sums (POS) form (assume AND gates with any number of inputs are available). Note: You can use NAND gates with any number of inputs you may need. Assume, as well, that the input variables are available in both true and complemented form.
Chapter22: Sequence Control
Section: Chapter Questions
Problem 6SQ: Draw a symbol for a solid-state logic element AND.
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Transcribed Image Text:Given the logic function F(A,B,C,D) = Σm(1,2,3,4,9,10,11,12)
(i) Write the truth table of the logic function.
(ii) Use the Karnaugh-map method to find the simplest sum-of-products (SOP)
expression of function F.
(iii) Implement the minimized function with NAND gates only.
(iv) Show that the Boolean function F can be constructed using exclusive-OR gates
(v) Express the same logic function in a product-of-sums (POS) form.
(vi) Simplify your function in product-of-sums (POS).
(vii) Use a decoder with external AND gates only to implement F in its product-of-
sums (POS) form (assume AND gates with any number of inputs are available).
Note: You can use NAND gates with any number of inputs you may need. Assume, as well,
that the input variables are available in both true and complemented form.
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