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- Consider the base 5 number 112s. Enter the base 5 digits in decimal form. place values 5- 25 5'-5 5° = 1 digits Now convert 112; to decimal representation. We get -5+ 13D 112, = -25+ Note: You can earn partial credit on this problem.What are the two Boolean expression to create a half adder circuit? Sum = A*B + A*B, Carry Out = A*B Sum = A*B + A*B, Carry Out = A*B Sum = A*B,Carry Out =A*B Sum =x = A*B + A*B, Carry Out= A*B %3DDecimal Ex Binary Addition Addition (C 3+5 0011 + 0101 4 + 1 8 + 3 2+4 0010 + 0100 0 +7 0000 + 0111 8 +7 9 +9 **
- 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?answer all the following questions. For a 12-bit linear PCM code with a resolution of 0.02 V, determine the voltage range that would be converted to the following PCM codes: 100000000001 000000000000 110000000000 010000000111 100100010001 101010101010B/ Find the (BCD) for the decimal number (71536) when the code is :- 1- code (9, -4, 3, -2) 2- code (4, 3, -2, -1)
- Describe each of the following expressions as SOP/POS. Discuss the no. of variables and identify min term (standard product term) or max term (standard sum term) F = A BC'D + AB + B`CD + D` * SOP POS min term = A`BC`D max term %3D max term = A`BC`D Number of variables Number of variables = 4Perform the following subtractions of the SIGNED numbers in the 2's complement form: (Show all your work and verify your calculation in decimal.) perform the subtraction 10001000 - 11100010In which case the +3 coded form of the number 2C5 in the hexadecimal number system is given correctly? A 100111000101 B 101001011001 C 100110101000 D 101001110110 E 101000111100
- 11. Convert the following decimal numbers to 8421 BCD and Excess-3. Decimal 8421-BCD Excess-3 7910 3110 = %3D %3D FontWhat will be the final value of DI after executing the following piece of code? Execute the instructions dependently one after another. CLD MOU CX,OFOH MOU AX,05678H MOU DI,01000H MOU ES, DI SUB DI, DI REPNZ SCASB -R AX-0000 DS-073F 073F:0100 0000 D 1000:0 F 1000:0000 92 00 14 12 54 56 44 78-AD 56 78 FO 00 00 00 00 BX-0000 CX-0000 DX-0000 SP-00FD ES-1000 SS%3073F CS=073F BP-0000 SI=0000 DI=0000 IP-0100 NU UP EI PL NZ NA PO NC ADD IBX SI1,AL DS:0000 CD TUDX.Ux..... .... Notes: 1- Use the DEBUG window to answer this question (values shown are prior to execution and in hexadecimal 2- Write down the final value of DI as four hexadecimal digits without any additional characters.bläi 3 Chose the correct answer for the output F of the following circuit ( Assume that A= 100010, B= 110100, C=101100 and D =100100 and the first bit out from the circuit is bit O) F 100000 None of them 011111 001001 110110