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GATE ECE Gateece Digital — practice questions

Explore 6 free Gateece Digital questions in GATE ECE Electronics. Open each question or exercise to read its content, reference answers and available explanation.

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Gateece Digital questions and exercises with answers

Showing questions 1–6 of 6.

In Boolean algebra, the absorption law A + A·B simplifies to which expression?Read the answer and worked solution →A 2's complement representation in n bits can represent integers in which range?Read the answer and worked solution →A multiplexer (MUX) with n select lines can route which number of inputs to a single output?Read the answer and worked solution →A Karnaugh map of n variables has how many cells, and adjacent cells differ in which way?Read the answer and worked solution →A SRAM cell typically uses how many MOSFETs per stored bit in the standard 6T topology?Read the answer and worked solution →For a synchronous counter with N flip-flops, the maximum count modulus is which value?Read the answer and worked solution →

Worked practice questions

In Boolean algebra, the absorption law A + A·B simplifies to which expression?

  1. B always (A drops out completely)
  2. A·B always less than A in all cases
  3. A (A dominates the OR when A=1)
  4. A + B always (B added to result)
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Correct answer: C. A (A dominates the OR when A=1)

Absorption: A + A·B = A·(1 + B) = A·1 = A. Companion form A·(A+B) = A. Reduces gate count in two-level minimisation (Mano Ch.2).

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A 2's complement representation in n bits can represent integers in which range?

  1. 0 to 2^n - 1 always
  2. -2^(n-1) to +2^(n-1) - 1
  3. -2^n to +2^n - 1 always
  4. -2^(n-1)+1 to +2^(n-1) always
Show answer and solution

Correct answer: B. -2^(n-1) to +2^(n-1) - 1

2's complement n-bit: range [-2^(n-1), 2^(n-1)-1]. E.g. 8-bit: -128 to +127. Asymmetric (one more negative value than positive). Negation = invert + 1.

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A multiplexer (MUX) with n select lines can route which number of inputs to a single output?

  1. 2^n inputs (one selected at a time)
  2. n inputs (one per select bit)
  3. n+1 inputs always
  4. 2·n inputs always
Show answer and solution

Correct answer: A. 2^n inputs (one selected at a time)

n select lines address 2^n input lines. 4-to-1 MUX uses 2 selects 8-to-1 uses 3. Can be cascaded for larger widths. Functional building block in datapath design.

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