List of top Digital Electronics Questions on Boolean Functions asked in GATE IN

A = \( a_1a_0 \) and B = \( b_1b_0 \) are two 2-bit unsigned binary numbers. If \( F(a_1, a_0, b_1, b_0) \) is a Boolean function such that \( F = 1 \) only when \( A>B \), and \( F = 0 \) otherwise, then \( F \) can be minimized to the form _________

A Boolean function \( F \) of three variables \( X \), \( Y \), and \( Z \) is given as \[ F(X, Y, Z) = (X' + Y + Z) \cdot (X + Y' + Z') \cdot (X' + Y + Z') \cdot (X' Y' Z' + X Y Z') \] Which one of the following is true?