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Chapter 17: Q60P (page 473)

Question: (I) Write the binary number 01010101 as a decimal number.

Short Answer

Expert verified

The decimal equivalent of 01010101 is 85.

Step by step solution

01

Understanding of digital electronics

Digital electronics is used to convert an analog signal voltage to a digital voltage in terms of binary codes. There are two possibilities for each bit, 0 and 1.

02

Given data

The binary number is 01010101.

03

Determination of the decimal equivalent

The decimal equivalent of 01010101 is as follows,

\(\mathop 0\limits^7 \mathop 1\limits^6 \mathop 0\limits^5 \mathop 1\limits^4 \mathop 0\limits^3 \mathop 1\limits^2 \mathop 0\limits^1 \mathop 1\limits^0 \)

The decimal number equivalent is,

\(\begin{aligned}{c}{2^0} + {2^2} + {2^4} + {2^6} &= 1 + 4 + 16 + 64\\ &= 85\end{aligned}\)

Thus, the decimal equivalent of 01010101 is 85.

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Most popular questions from this chapter

In an older television tube, electrons are accelerated by thousands of volts through a vacuum. If a television set were laid on its back, would electrons be able to move upward against the force of gravity? What potential difference, acting over a distance of 2.4 cm, would be needed to balance the downward force of gravity so that an electron would remain stationary? Assume that the electric field is uniform.

(II) Three point charges are arranged at the corners of a square of side l as shown in Fig. 17–39. What is the potential at the fourth corner (point A)?

FIGURE 17–39 Problem 22.

Question: Three charges are at the corners of an equilateral triangle (side l) as shown in Fig. 17–45. Determine the potential at the midpoint of each of the sides. Let \[{\bf{V = 0}}\] at \[{\bf{r = }}\infty \].

FIGURE 17–45 Problem 75.

Question: (I) What is the capacitance of a pair of circular plates with a radius of 5.0 cm separated by 2.8 mm of mica?

(III) In the Bohr model of the hydrogen atom, an electron orbits a proton (the nucleus) in a circular orbit of radius \({\bf{0}}{\bf{.53 \times 1}}{{\bf{0}}^{{\bf{ - 10}}}}\;{\bf{m}}\). (a) What is the electric potential at the electron’s orbit due to the proton? (b) What is the kinetic energy of the electron? (c) What is the total energy of the electron in its orbit? (d) What is the ionization energy— that is, the energy required to remove the electron from the atom and take it to \({\bf{r = }}\infty \), at rest? Express the results of parts (b), (c), and (d) in joules and eV.
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