Q1. Convert following numbers in given radix system: a. (697)10 into Octal and Hexa decimal b. (2D9)16 into Decimal and Octal

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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?
Transcribed Image Text: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?
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