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- Given the following truth table, write an algebraic expression for the given function andsimplify the expression using a Karnaugh map.A B C F0 0 0 10 0 1 10 1 0 10 1 1 01 0 0 01 0 1 11 1 0 01 1 1 1arrow_forwardExpand to an unsimplified Boolean Function: Use CAPITAL LETTERS for the variables and APOSTROPHE (') for the OVERBAR. NO SPACES in between. Should be arrange from minterms 0 to 15. (1)sample answer: F=A'B'C'D'+ABCD'+ABCD given: F= C + ACD' + BDarrow_forwardPlease make a k-map to simplify the given boolean equation (and list the final simplified expression)(((((Y AND (~Z)) OR ((~Y) AND Z)) OR (~Z)) AND (~(X OR Y))) OR (~(((Y AND (~Z)) OR ((~Y) AND Z)) OR (~Z))) AND (X OR Y))arrow_forward
- For the Boolean function F given in the truth table, find the following: (a) List the minterms of the function. (b) List the minterms of F' . (c) Express F in sum of minterms in algebraic form. (d) Simplify the function to an expression with a minimum number of literals.arrow_forward8. Use K-Maps to find the minimal expansion as the Boolean sum of the product of the following functions on the variables w, x, y, and z:wxyz + wxyz' + wxy'z + wx'yz + wx'yz' + w'xyz + w'x'yz + w'x'yz' + w'x'y'zarrow_forwardObtain the truth table for the following functions, and express each function in sum-of-minterms and product-of-maxterms form: 3. ( c ′ + d ) ( b + c ′ ) 4. b d ′ + a c d ′ + a b ′ c + a ′ c ′arrow_forward
- Minimize the boolean function in both sum of products,and product of sums forms. F(A,B,C,D) = A'B'C'D+BC'D+AB'C'D+B'CD+d (don't care)d = ABCD+ABC'D'arrow_forwardSimplify the following Boolean expressions, using four-variable K-maps: AB′C+B′C′D′+BCD+ACD′+A′B′C+A′BC′Darrow_forwardWith the help of using Boolean laws; Find the Minterms and Maxterms of the function, F (a,b,c) = a’+bc’.arrow_forward
- Simplify Boolean function using K map. Variables are marked in a,b,c,d order 0 0 1 1 0 1 1 1 1 1 1 0 1 1 0 0 Question 37 options: ac’ + ad + bd + a’c ac’ + bd’ + a’c ac’ + bd + a’c None of above c’a + b’c’ + abarrow_forwardExpand to an unsimplified Boolean Function: Use CAPITAL LETTERS for the variables and APOSTROPHE (') for the OVERBAR. NO SPACES in between. Should be arrange from minterms 0 to 15. Sample Answer: F=A'B'C'D'+ABCD'+ABCD F= D + AB'C + A'Darrow_forwardSimplify the following Boolean functions to product-of-sums (POS) form: F(A,B,C,D)= =M(0,1,2,4,5,6,8,9,10) Hint: You need to group the zeros instead of the ones. Each number represents a zero.arrow_forward
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