The following logic diagram produces the logical value OUT
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- Implement the following Boolean expressions as they are stated: (a) X = ABC + AB + AC (b) X = AB(C + DE)2) Simplify the following Boolean expressions, using three-variable K-maps:F(x,y,z) = x′y′ + yz + x′yz′ PS:Please type instead of paper writingState (in words) the negation of the following statements.1. (∃x ∈ Z)P(x) ∧ (∀y ∈ R)(¬Q(y)).
- Consider the following precondition and assignment statement: {x>=4} < x = x - 4; >. Show whether the above statement interferes with the triple: {x >= 0} < x = x + 5; > {x >= 5}.C++ : solve the following question in the picture.Write the robot program using the VAL+ for the following automation case. First draw the problem; then handwrite the VAL+ code. The robot picks up FIVE blocks of size 100x100x100 mm that are stacked at a fixed position and place them at the corners and center of a square table of size 500 x 500 mm. Select the original position on the table on your own.
- f : {1, 2, 3} ® {a, b, c, d} f(1) = c f(2) = b f(3) = a g : {a, b, c, d} ® {x, y, z} g(a) = y g(b) = x g(c) = x g(d) = z Find the composition gofDetermine the truth value of each of the following statements. We assume that the domain for all variables consists of all integers. 1. n m (n2< m)2. n m (n < m2)3. n m (n + m = 0)4. n m (nm = m)5. n m (n2+ m2= 5)6. n m (n2+ m2= 6)7. n m (n + m = 4 n – m =1)8. n m (n + m = 4 n – m =2)9. n m p (p = (m + n)/2)2. Simplify the following Boolean expressions, using three variable K-maps: (a) F(x,y,z) = xy+x′y′z′+x′yz′ (b) F(x,y,z) = x′y′+yz+x′yz′ (c) F(x,y,z) = x′y+yz′+y′z′
- Write an outline and logic for the following code: EMPTY = '-' BLACK = ‘X’ WHITE = ‘O’ BOARD_SIZE = 8 DIRECTIONS = [(0, 1), (0, -1), (1, 0), (-1, 0), (1, 1), (-1, -1), (1, -1), (-1, 1)] def initialize_board(): board = [[EMPTY for _ in range(BOARD_SIZE)] for _ in range(BOARD_SIZE)] board[3][3] = WHITE board[3][4] = BLACK board[4][3] = BLACK board[4][4] = WHITE return board def print_board(board): print(" 1 2 3 4 5 6 7 8") for i in range(BOARD_SIZE): print(f"{i + 1} ", end="") for j in range(BOARD_SIZE): print(f" {board[i][j]}", end="") print() def is_valid_move(board, row, col, player): if board[row][col] != EMPTY: return False for direction in DIRECTIONS: dr, dc = direction r, c = row + dr, col + dc while 0 <= r < BOARD_SIZE and 0 <= c < BOARD_SIZE: if board[r][c] == EMPTY: break if board[r][c] == player:…Given a, b, c, show the following assertion: if a | b and a | c then a | b + c and a| b –cComputer Science Given the following declaration and assignment: declare X X=midtermexam(mcq:[d b c a b] q1:[a [b [c]]] q2:q3(q4 q5 [a b [e c]])) How much is X.q1.2.1.2? What are the expressions related to X that will display e, q3, and 3? Programm in OZ