Holooly Plus Logo
Holooly Plus Logo

Question 1.1.9: 2’s complement representation of a 16-bit number (one sign b...

2’s complement representation of a 16-bit number (one sign bit and 15 magnitude bits) is FFFF. Its magnitude in decimal representation is

(a) 0                                                   (b) 1

(c) 32,767                                         (d) 65, 535

The Blue Check Mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.

2’s complement 16 bit no (1 sign + 15mag bit) = FFFF = 1111 1111 1111 1111

2’s complement of 111 1111 1111 1111 is 000 0000 0001 and its decimal equivalent is 1 with negative sign.

∴ Decimal number is –1 and its mag is 1.

Hence, the correct option is (b).

Related Answered Questions

A system of three electric charges lying in a straight line is in equilibrium. Two of the charges are positive with magnitudes Q and 2Q, and are 50 cm apart. Determine the sign, magnitude and position of the third charge.

Verified Answer:
Let Q_{3} be the third change locat...

Given an irrotational vector field F→=(k1 xy+k2 z^3)a→x+(3x^2-k3z)a→y+(3xz^2-y)a→z Find ∇F→ at (1, 1, – 2).

Verified Answer:
Given \begin{aligned}&\vec{F}=\left(k_{...

Given E= 10e^-j(4x – kt) – V/m in free space. (a) Write all the four Maxwell’s equations in free space. (b) Find ∆ × E. (c) Find H.

Verified Answer:
Given, E=10 e^{-4 j(4 x-k t)} a_{y} V / m[/...

Three electrostatic point charges are located in the xyplane as given below: +Q at (-a/2, 0), + Q at (a/2, 0) and – 02Q at (0, > /3/2) Calculate the coordinate of the point, P, on the y-axis, where the potential due to these charges is zero. Also, calculate the magnitude of the electric field stren

Verified Answer:
point, charge location  +Q A\left(\frac{-9}...

Evaluate the integral, ∫ r→.d→r , where C is the helical path described by, x = cost, y = sint, z = t, joining the points given by t = 0 and t = π/2

Verified Answer:
In Cartesian coordinates, \begin{aligned}&a...

On either side of a charge-free interface between two media (a) the normal components of the electric field are equal (b) the tangential component of the electric field are equal (c) the normal components of the electric flux density are equal (d) the tangential components of the electric flux dens

Verified Answer:
Conditions at Boundary surfaces. (a) E t_{1...

Given that D¯=r^2 a¯r+2Sin θ a¯θ in spherical coordinate system, where D is the electric flux density, find the charge density p?

Verified Answer:
\text { Given, } \vec{D}=r^{2} a_{r}+2 \sin...

Vector potential is a vector (a) whose curl is equal to the magnetic flux density (b) whose curl is equal to the electric field intensity (c) whose divergence is equal to the electric potential (d) which is equal to the vector product E × H

Verified Answer:
The term vector potential physical stands for work...

Which of the following field equations indicate that the free magnetic charge do not exist (a) H=1/µ ∇×A (b) H=∮ 1dI×R/4π R^2 (c) ∇.H =0 (d) ∇ × H = J

Verified Answer:
As we know, \oint B \cdot d s=0 \text { or,...

The electric field strength at a far-off point P due to a point charge, +q located at the origin, O is 100 millivolts/meter. The point charge is now enclosed by a perfectly conducting hollow metal sphere with its centre and the origin, O. The electric field strength at the point, P (a) remains unch

Verified Answer:
According to Gauss Law:—The total displacement or ...