Digital Electronics Exam Prep
Full explanation, worked examples & memory tricks in the app
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Full explanation, worked examples & memory tricks in the app
Every question in the paper gets a full exam-length answer in the app — organised by marks, the way a topper writes it.
2. B. Answer the following: (c). Explain with state diagram, block diagram and truth table a Decade Counter using T-flip-flop.
Decade counter explained with diagrams.
The full exam-length answer is in the app.
4. (a). Explain with circuit diagram and truth table a Full Subtractor.
Full Subtractor circuit and truth table.
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4. (b). Subtract 27.50 from 68.75 using 12-bit 1's complement method.
1's complement subtraction process.
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4. (c). Expand A($\overline{ ext{A}}$ + B)($\overline{ ext{A}}$ + B + C) into Minterms and Maxterms.
Minterms and Maxterms expansion.
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5. (a). Using a 7-bit even Parity Hamming code, detect the error in the data code 0010100 if any and write down the corrected code.
Hamming code error detection and correction.
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7. (a). Along with truth table and circuit, state and explain De-Morgan's $1^{ ext{st}}$ and $2^{ ext{nd}}$ Theorem.
De-Morgan's Theorems explained with truth tables.
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5. (b). Simplify $\overline{ ext{A}} ext{B} ext{C}+ ext{A}\overline{ ext{B}} ext{C}+ ext{A} ext{B}\overline{ ext{C}}+ ext{A} ext{B} ext{C}$.
Boolean simplification.
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5. (c). Add -31.5 to -93.125 using 12-bit 2's complement arithmetic.
2's complement addition process.
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6. (a). Reduce the expression using K-map and implement using logic gates. $\Sigma ext{m} = (1, 5, 6, 12, 13, 14) + ext{d}(2, 4)$
K-map reduction and gate implementation.
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6. (b). Realize with truth table a 3:8 line Decoder using logic gates.
3:8 Decoder truth table and circuit.
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6. (c). Design a PISO register using D-flip-flop.
PISO register design with D-flip-flops.
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7. (b). Complete the following table: | Decimal Number | Binary code | Excess-3 code | | :------------- | :---------- | :------------ | | 0 | 0000 | 0011 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 9 | 1001 | |
Complete the table with corresponding codes.
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7. (c). Convert $(11011.101)_2$ into decimal.
Decimal equivalent is 27.625.
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7. (d). Convert $(5 ext{C}7)_{16}$ into binary equivalent.
$(01011100 0111)_2$
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2. B. Answer the following: (a). Draw the circuit diagram of a Half Adder.
Circuit diagram showing XOR and AND gates.
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2. B. Answer the following: (b). Solve the expression Y = $\overline{ ext{A}} ext{B} + ext{A} + ext{B}$.
Y = A + B.
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2. B. Answer the following: (c). Convert $(105.15)_{10}$ into binary equivalent.
$(1101001.0011)_2$
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2. B. Answer the following: (d). Realize a NOR gate using only NAND gate.
Connect two NAND gates.
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2. B. Answer the following: (e). Solve the following using K-map: Y = $\Pi ext{M}(0,2,3,7) + \Phi(4)$
K-map simplification.
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2. B. Answer the following: (f). Represent the Boolean equation in binary notation: $( ext{A}+ ext{B}+\overline{ ext{C}}+ ext{D})( ext{A} + ext{B} + ext{C} + \overline{ ext{D}})$
Binary representation of the equation.
The full exam-length answer is in the app.
2. B. Answer the following: (g). Convert into standard form the expression: $\overline{ ext{A}}\overline{ ext{B}}\overline{ ext{C}}\overline{ ext{D}}+ ext{A} ext{B} ext{C}+ ext{B}\overline{ ext{C}}\overline{ ext{D}}
Standard form derived.
The full exam-length answer is in the app.
2. B. Answer the following: (a). Simplify the Boolean function using K-map: f(ABCD) = $\Pi ext{M} (0, 1, 3, 5, 6, 7, 10, 14, 15)$
K-map simplification.
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2. B. Answer the following: (b). Express $(2598.675)_{10}$ into hexadecimal representation.
$(A2A.ABC)_{16}$
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1. A. Fill in the blanks (a) 1 byte is equivalent to _______ bits.
8
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1. A. Fill in the blanks (b). Latch is also known as a _______ element used to store one bit of information either _______ or _______.
storage; 0; 1
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1. A. Fill in the blanks (c). The 2's complement of $(73)_{10}$ is _______.
$(-73)_{10}$
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1. A. Fill in the blanks (d). The octal equivalent of $(10111.00101)_2$ is _______.
$(27.25)_8$
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1. A. Fill in the blanks (e). If a register can operate in all possible modes and also as a bi-directional register, then it is known as a _______ shift register.
universal
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1. B. State True or False: (a). Clear signal is used to reset the state of the flip-flop.
True
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1. B. State True or False: (b). The Boolean law A + $\overline{ ext{A}}$ = A.
False
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1. B. State True or False: (c). ROM is a semi-permanent memory.
True
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1. B. State True or False: (d). The equation AB + AC + BC is a POS form.
False
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1. B. State True or False: (e). All the basic gates can be derived using NAND gate.
True
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1. C. Answer briefly: (a). Convert $(125.43)_8$ into binary representation.
$(00101001.011011)_2$
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1. C. Answer briefly: (b). What is a counter?
A device that counts pulses.
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1. C. Answer briefly: (c). Derive the truth table of X-NOR gate.
Outputs 1 when inputs are equal.
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1. C. Answer briefly: (d). Express $(287)_{10}$ into octal.
$(437)_8$
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2. A. Answer the following: (a). What is a flip-flop?
A bistable circuit that stores a single bit.
The full exam-length answer is in the app.
2. A. Answer the following: (b). Give the full form of EPROM.
Erasable Programmable Read-Only Memory
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2. A. Answer the following: (c). Subtract $(10001)_2$ from $(11001)_2$.
$(00010)_2$
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2. A. Answer the following: (d). Prove that $\overline{ ext{A}} ext{B} + ext{A}\overline{ ext{B}} + ext{B} = ext{A} + ext{B}$.
Using Boolean algebra.
The full exam-length answer is in the app.
2. A. Answer the following: (e). What is a Multiplexer?
A device that selects one of many inputs.
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2. A. Answer the following: (f). Convert $(756.6)_8$ into hexadecimal equivalent.
$(1F.98)_{16}$
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2. A. Answer the following: (g). Express the decimal number 378 into octal number system.
$(570)_8$
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