Recent questions tagged digital-logic / GATE Overflow for GATE CSE

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Digital Logic
What is the maximum n-bit number in base x ,when represented in decimal(10)?

What is the maximum n-bit number in base x ,when represented in decimal(10)?

deba1014

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deba1014 asked Apr 12

0 votes

1 answer

2

GATE CSE 2024 | Set 2 | Question: 4
The format of a single-precision floating-point number as per the $\text{IEEE 754}$ standard is: Sign Exponent Mantissa $(1 \mathrm{bit})$ $(8 \mathrm{bits})$ $(23 \mathrm{bits})$ Choose the largest floating- ... $0$ $11111111$ $11111111111111111111111$ Sign Exponent Mantissa $0$ $01111111$ $00000000000000000000000$

The format of a single-precision floating-point number as per the $\text{IEEE 754}$ standard is:Sign ExponentMantissa$(1 \mathrm{bit})$ $(8 \mathrm{bits})$ $(23 \ma...

Arjun

2.5k views

Arjun asked Feb 16

1 votes

2 answers

3

GATE CSE 2024 | Set 2 | Question: 20
For a Boolean variable $x$, which of the following statements is/are FALSE? $x .1=x$ $x+1=x$ $x \cdot x=0$ $x+\bar{x}=1$

For a Boolean variable $x$, which of the following statements is/are FALSE?$x .1=x$$x+1=x$$x \cdot x=0$$x+\bar{x}=1$

Arjun

2.1k views

Arjun asked Feb 16

1 votes

1 answer

4

GATE CSE 2024 | Set 2 | Question: 39
Which of the following is/are EQUAL to $224$ in radix - $5$ (i.e., base - $5$) notation? $64$ in radix -10 $100$ in radix -8 $50$ in radix -16 $121$ in radix -7

Which of the following is/are EQUAL to $224$ in radix - $5$ (i.e., base - $5$) notation?$64$ in radix -10$100$ in radix -8$50$ in radix -16$121$ in radix -7

Arjun

1.8k views

Arjun asked Feb 16

3 votes

1 answer

5

GATE CSE 2024 | Set 2 | Question: 40
Consider $4$-variable functions $f 1, f 2, f 3, f 4$ expressed in sum-of-minterms form as given below. $ \begin{array}{l} f 1=\sum(0,2,3,5,7,8,11,13) \\ f 2=\sum(1,3,5,7,11,13,15) \\ f 3=\sum(0,1,4,11) \\ f 4=\sum(0,2,6,13) \end{array} $ With ... $\boldsymbol{Y}=\sum(0,1,2,3,4,5,6,7)$ $\boldsymbol{Y}=\Pi(8,9,10,11,12,13,14,15)$

Consider $4$-variable functions $f 1, f 2, f 3, f 4$ expressed in sum-of-minterms form as given below.$$\begin{array}{l}f 1=\sum(0,2,3,5,7,8,11,13) \\f 2=\sum(1,3,5,7,11,...

Arjun

1.9k views

Arjun asked Feb 16

3 votes

5 answers

6

GATE CSE 2024 | Set 1 | Question: 3
Consider a system that uses $5$ bits for representing signed integers in $2$ 's complement format. In this system, two integers $A$ and $B$ are represented as $A$=$01010$ and $B$=$11010$. Which one of the following operations will result in either an arithmetic overflow or an arithmetic underflow? $A+B$ $A-B$ $B-A$ $2 * B$

Consider a system that uses $5$ bits for representing signed integers in $2$ 's complement format. In this system, two integers $A$ and $B$ are represented as $A$=$01010$...

Arjun

3.9k views

Arjun asked Feb 16

2 votes

1 answer

7

GATE CSE 2024 | Set 1 | Question: 18
Consider the circuit shown below where the gates may have propagation delays. Assume that all signal transitions occur instantaneously and that wires have no delays. Which of the following statements about the circuit is/are CORRECT? With no propagation ... , the output $Y$ can have a transient logic Zero after $X$ transitions from logic One to logic Zero

Consider the circuit shown below where the gates may have propagation delays. Assume that all signal transitions occur instantaneously and that wires have no delays...

Arjun

2.4k views

Arjun asked Feb 16

0 votes

2 answers

8

GATE CSE 2024 | Set 1 | Question: 37
Consider a Boolean expression given by $\text{F(X, Y, Z)}=\sum(3,5,6,7)$. Which of the following statements is/are CORRECT? $\text{F(X, Y, Z)}=\Pi(0,1,2,4)$ $\text{F(X, Y, Z)=X Y+Y Z+X Z}$ $\text{F(X, Y, Z)}$ is independent of input $\text{Y}$ $\text{F(X, Y, Z)}$ is independent of input $\text{X}$

Consider a Boolean expression given by $\text{F(X, Y, Z)}=\sum(3,5,6,7)$.Which of the following statements is/are CORRECT?$\text{F(X, Y, Z)}=\Pi(0,1,2,4)$ $\text{F(X, Y, ...

Arjun

2.0k views

Arjun asked Feb 16

1 votes

3 answers

9

GATE CSE 2024 | Set 1 | Question: 54
Consider a digital logic circuit consisting of three $2$-to-$1$ multiplexers $\text{M1, M2}$, and $\text{M3}$ as shown below. $\mathrm{X} 1$ and $\mathrm{X} 2$ are inputs of $\mathrm{M} 1$. $\text{X3}$ and $\text{X4}$ are inputs ... the number of combinations of $\mathrm{A}, \mathrm{B}, \mathrm{C}$ that give the output $\mathbf{Y}=\mathbf{1}$ is ____________.

Consider a digital logic circuit consisting of three $2$-to-$1$ multiplexers $\text{M1, M2}$, and $\text{M3}$ as shown below. $\mathrm{X} 1$ and $\mathrm{X} 2$ are inputs...

Arjun

2.1k views

Arjun asked Feb 16

2 votes

1 answer

10

GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 28
Consider function $\mathbf{G}(\mathbf{A}, \mathbf{B}, \mathbf{C})=\mathbf{A B}+\mathbf{B C}$. Let $\mathbf{F}(\mathbf{A}, \mathbf{B}, \mathbf{C})$ ... input to a 2-to-1 multiplexer. The correct implementation of $\mathbf{F}(\mathbf{A}, \mathbf{B}, \mathbf{C})$ is shown in:

Consider function $\mathbf{G}(\mathbf{A}, \mathbf{B}, \mathbf{C})=\mathbf{A B}+\mathbf{B C}$. Let $\mathbf{F}(\mathbf{A}, \mathbf{B}, \mathbf{C})$ be the dual of $\mathbf...

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