/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q61P Question: (I) Write the binary n... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Question: (I) Write the binary number 1010101010101010 as a decimal number.

Short Answer

Expert verified

The decimal equivalent of 1010101010101010 is 43690.

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 1010101010101010.

03

Determination of the decimal equivalent

The decimal equivalent of 01010101 is as follows,

\(\mathop 1\limits^{15} \mathop 0\limits^{14} \mathop 1\limits^{13} \mathop 0\limits^{12} \mathop 1\limits^{11} \mathop 0\limits^{10} \mathop 1\limits^9 \mathop 0\limits^8 \mathop 1\limits^7 \mathop 0\limits^6 \mathop 1\limits^5 \mathop 0\limits^4 \mathop 1\limits^3 \mathop 0\limits^2 \mathop 1\limits^1 \mathop 0\limits^0 \)

The decimal number equivalent is,

\(\begin{aligned}{c}{2^1} + {2^3} + {2^5} + {2^7} + {2^9} + {2^{11}} + {2^{13}} + {2^{15}}\\ &= 2 + 8 + 32 + 128 + 512 + 2048 + 8192 + 32768\\ &= 43690\end{aligned}\)

Thus, the decimal equivalent of 1010101010101010is 43690.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Question: (I) Write the decimal number 116 in binary.

A battery establishes a voltage Von a parallel-plate capacitor.After the battery is disconnected, the distance between the plates is doubled without loss of charge. Accordingly,the capacitance _________ and the voltage between theplates _________.

(a) increases; decreases.

(b) decreases; increases.

(c) increases; increases.

(d) decreases; decreases.

(e) stays the same; stays the same.

A lightning flash transfers 4.0 C of charge and 5.2 MJ of energy to the Earth.

(a) Across what potential difference did it travel?

(b) How much water could this boil and vaporize, starting from room temperature? (See also Chapter 14.)

State clearly the difference (a) between electric potential and electric field, (b) between electric potential and electric potential energy.

A parallel-plate capacitor with plate area\({\bf{A = 2}}{\bf{.0}}\;{{\bf{m}}{\bf{2}}}\)and plate separation\({\bf{d = 3}}{\bf{.0}}\;{\bf{mm}}\)is connected to a 35-V battery (Fig. 17–51a).

(a) Determine the charge on the capacitor, the electric field, the capacitance, and the energy stored in the capacitor.

(b) With the capacitor still connected to the battery, a slab of plastic with dielectric strength K =3.2 is placed between the plates of the capacitor, so that the gap is completely filled with the dielectric (Fig. 17–51b). What are the new values of charge, electric field, capacitance, and the energy stored in the capacitor?\(\left( {{\bf{1}}\;{\bf{byte = 8}}\;{\bf{bits}}{\bf{.}}} \right)\)

FIGURE 17-51 Problem 96

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.