Current Attempt in Progress × Incorrect. If the range of X is the set {0,1,2,3,4,5,6,7,8) and P(X = x) is defined in the following table: X 0 1 2 3 4 5 6 7 8 P(X = x) 0.1119 0.3272 0.1182 0.0818 0.0498 0.0818 0 0.0657 0.1636 determine the mean and variance of the random variable. Round your answers to two decimal places. (a) Mean = i 2.96 (b) Variance = 6.02 eTextbook and Media 2 R SEP 16 ece →. C # $ 3 44 อย MacBook Pro G Search or type URL & 2 6 7 V1 95 54 E R T Y U 8* 0/1 E Statistical Tables and Charts ( 9 > 0 & D F G H J K L P

Q1. Convert following numbers in given radix system: a. (697)10 into Octal and Hexa decimal b. (2D9)16 into Decimal and Octal Q2. Using two's complement representation, solve: a. 101110001 – 1111111001 b. 1010101010 – 1010010101 Q3. Perform following arithmetic operations: a. (6767)10 + (3592)10 using BCD b. (C7C)16 - (B0E)16 using 16's complement Q4. A code 1011011 needs to be sent to the receiver. Using, hamming code find out the code- word and the mechanism to check the corrected data when error occurred at 4th bit. (Assumptions: Right to Left with Odd Parity) Q5. (a) Convert the following logic gate circuit into a Boolean expression, writing Boolean sub-expressions next to each gate output in the diagram: A (b) Realise Ex-OR gate using universal gate? Q6. Implement and simplify f (A, B, C, D) = E(1,3,5,8,9,11,13,15) using K-map?

11. Convert the following decimal numbers to 8421 BCD and Excess-3. Decimal 8421-BCD Excess-3 7910 3110 = %3D %3D Font

Design a code converter that converts a decimal digit from BCD to excess-3 code, the input variables are organized as (A B C D) respectively with A is the MSB, the output variables are organized as (W XY Z) respectively with W is the MSB, put the invalid decimal numbers as don't care. W=A+BD+BC' W=A+BD+BC, W=A'+BD+BC W= BC'D'+B'D+B'C