Question

In a particular system, 50 megabits is transmitted on a single serial data line in 1 second. (a) What is the time required to transmit 1 bit? (b) If this system utilized the same technology with an 8-bit parallel data bus, how long would it take to transmit 50 megabits?

   In a particular system, 50 megabits is transmitted on a single serial data line in 1 second.
(a) What is the time required to transmit 1 bit?
(b) If this system utilized the same technology with an 8-bit parallel data bus, how long would it take to transmit 50 megabits?
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Essentials of Electrical and Computer Engineering
Essentials of Electrical and Computer Engineering
David V. Kerns, Jr.,… 1st Edition
Chapter 8, Problem 6 ↓

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Since 50 megabits are transmitted in 1 second, we can calculate the time for 1 bit by dividing the total time by the total number of bits. - Total bits = 50 megabits = 50,000,000 bits - Time for 1 bit = Total time / Total bits = 1 second / 50,000,000 bits  Show more…

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In a particular system, 50 megabits is transmitted on a single serial data line in 1 second. (a) What is the time required to transmit 1 bit? (b) If this system utilized the same technology with an 8-bit parallel data bus, how long would it take to transmit 50 megabits?
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Key Concepts

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Data Transmission Rate
This concept refers to the amount of data that can be transmitted (or processed) per unit of time, typically measured in bits per second (bps). It is fundamental in determining how quickly data can be sent over a communication channel, whether using serial or parallel methods.
Serial Communication
Serial communication involves sending data bits sequentially over a single communication line or channel. In this mode, each bit is transmitted one after another, meaning the time required to send a single bit is directly related to the overall data rate of the channel.
Parallel Communication
Parallel communication transmits multiple bits simultaneously over separate channels or lines. This method can significantly reduce the overall transmission time since multiple bits are sent at the same time, effectively dividing the time needed per bit by the number of bits transmitted in parallel.
Bit Time Calculation
This concept involves determining the time taken to transmit a single bit by taking the reciprocal of the data transmission rate. It serves as a fundamental step in analyzing both serial and parallel transmission speeds, and it aids in understanding how changes in the transmission method (such as moving from serial to parallel) impact overall data transfer times.

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A common measure of transmission for digital data is the baud rate, defined as symbols (bits in our case) per second. As a minimum, transmission is accomplished in packets consisting of a start bit, a byte (8 bits) of information, and a stop bit. Using these facts, answer the following: (a) How many seconds would it take to transmit a sequence of 500 images of size 1024x1024 pixels with 256 intensity levels using an M-baud (10^6 bits/sec) baud modem? This is a representative medium speed for a DSL (Digital Subscriber Line) residential line. (b) What would the time be using a 30 G-baud (10^10 bits/sec) modem? This is a representative medium speed for a commercial line.

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