1. Perform subtraction on the given unsigned binary numbers using the 2s complement of the subtrahend. Where the result should be negative, find its 2s complement and affix a minus sign.

(a) 10011 10010 (b) 100010 - 100110

(c) 1001 - 110101 (d) 101000 10101

2. Implement the Boolean function

F = xy + xy + yz

(a) With AND, OR, and inverter gates

(b) With OR and inverter gates

(c) With AND and inverter gates

(d) With NAND and inverter gates

(e) With NOR and inverter gates

3. Map the given function using three variable K-map:

F (x, y, z) = (2, 3, 4, 5) = xy + xy

4. Draw logic diagrams to implement the following Boolean expressions:

(a) y = [(u + x) (y + z)]

(b) y = (u + x) (y + z)

(c) y = u + yz + uxy

(f) y = u + x + x(u + y)

5. Draw JK Flip Flop with a neat diagram and explain its characteristic equation.

D = JQ + KQ.

6. Compare Multiplexer and De-Multiplexer with the diagram.