f(a, b, c, d, e) = m(1, 2, 5, 9, 16, 17, 21, 22, 29, 31) + D(0,3, 4, 6, 7, 10, 13, 18, 19, 20, 23, 24, 25, 26, 28, 30) (1) In this function, the minterm elements are m(1, 2,...) these are the truth table entries for which the function has logic value 1. The elements D(0, 3,...) indicate the don't care terms (for which the logic value of f is not important; you can assume the entry to be a 0 or a 1, as convenient. • Use a 5-variable Karnaugh maps to find a minimized SOP and POS expressions for function f in Equation (1). Draw an AND, OR, NOT gate circuit for your expression. Use only 2-input AND and OR gates. If your design requires gates with more than two inputs, change your design to use only 2-input gates. Map your design to chips: 7404 (NOT), 7408 (AND) and 7432 (OR).

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f(a, b, c, d, e) =
m(1, 2, 5, 9, 16, 17, 21, 22, 29, 31) +
D(0,3, 4, 6, 7, 10, 13, 18, 19, 20, 23, 24, 25, 26, 28, 30)
(1)
In this function, the minterm elements are m(1, 2,...) these are the truth table entries
for which the function has logic value 1. The elements D(0, 3,...) indicate the don't care
terms (for which the logic value of f is not important; you can assume the entry to be a 0
or a 1, as convenient.
• Use a 5-variable Karnaugh maps to find a minimized SOP and POS expressions for
function f in Equation (1).
Draw an AND, OR, NOT gate circuit for your expression. Use only 2-input AND and
OR gates. If your design requires gates with more than two inputs, change your design
to use only 2-input gates.
Map your design to chips: 7404 (NOT), 7408 (AND) and 7432 (OR).
Transcribed Image Text:f(a, b, c, d, e) = m(1, 2, 5, 9, 16, 17, 21, 22, 29, 31) + D(0,3, 4, 6, 7, 10, 13, 18, 19, 20, 23, 24, 25, 26, 28, 30) (1) In this function, the minterm elements are m(1, 2,...) these are the truth table entries for which the function has logic value 1. The elements D(0, 3,...) indicate the don't care terms (for which the logic value of f is not important; you can assume the entry to be a 0 or a 1, as convenient. • Use a 5-variable Karnaugh maps to find a minimized SOP and POS expressions for function f in Equation (1). Draw an AND, OR, NOT gate circuit for your expression. Use only 2-input AND and OR gates. If your design requires gates with more than two inputs, change your design to use only 2-input gates. Map your design to chips: 7404 (NOT), 7408 (AND) and 7432 (OR).
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