a) Convert the following decimal numbers to the indicated bases: (Unit 1)

i) $(516)_7 = (\quad)_{10} = (\quad)_{16}$

ii) $(250.5)_{10} = (\quad)_8 = (\quad)_4$

iii) $(2ED)_{16} = (\quad)_8 = (\quad)_2$

iv) Obtain the 9's and 10's complement of $(864)_{10}$.

b) Represent the decimal number 6 in: (Unit 1)

i) Excess-3 code

ii) BCD code

iii) Gray code

iv) 84-2-1 code

v) 2421 codes

a) Simplify the following expression as much as possible:
$F(w,x,y,z)=y'z'+w'x'z'+w'xyz'+wyz'$ and implement your result using universal gates only. (Unit 1)

b) Express the following Boolean function F in a sum of min terms and a product of max terms:
$F(x,y,z)=(xy+z)(y+xz)$ (Unit 1)

a) What is the role of multiplexer in the digital electronics? Explain the logic how it selects a one input among several inputs? (Unit 2)

b) Write a short note on decoder. (Unit 2)

a) Draw a full subtractor circuit using NAND gate. (Unit 2)

b) Explain race-around condition in relation to the J-K flip-flops using timing relationships. Draw the clocked Master-Slave J-K flip-flop configuration and explain how it removes race-around condition in J-K flip-flops? (Unit 3)

a) Design a ripple decade counter using JK flip-flop. (Unit 3)

b) Draw and explain 4-bit universal shift register. (Unit 3)

a) With a neat diagram explain the operation of R-2R DAC. (Unit 4)

b) Write a short note on PLA. (Unit 3)

a) Describe the circuit and performance of CMOS inverter and state the characteristics of CMOS. (Unit 4)

b) Draw the circuit diagram of Schmitt trigger and explain its working. (Unit 4)

a) Write a short note on PCM. (Unit 5)

b) Explain the geometrical representation of Non-orthogonal BFSK. (Unit 5)