Chapter 11.3, Problem 19R

To determine

The ratio of the number of pixel in a high definition TV to the number in standard TV.

Answer to Problem 19R

The ratio of the number of pixels in a high definition TV to the number in a standard TV is $\frac{25}{2}$ .

Explanation of Solution

Given:

The horizontal pixel of a standard TV is 460 pixels.

The vertical pixel of a standard TV is 360 pixels.

The horizontal pixel of a high definition TV is 1920 pixels.

The vertical pixel of a high definition TV is 1080 pixels.

Formula used:

The ratio of the pixel calculation of high definition to standard TV is

  $\frac{\text{HD}\text{TV}}{\text{stnd}\text{TV}}=\frac{\text{vertical}\text{pixel×horizontal}\text{pixel}}{\text{vertical}\text{pixel×horizontal}\text{pixel}}$  ....... (1)

Calculation:

Substitute 460 pixels for horizontal pixel of a standard TV, 360 pixels for vertical pixel of a standard TV, 1920 pixels for The horizontal pixel of a high definition TV and 1080 pixels for vertical pixel of a high definition TV in equation (1),

  $\begin{array}{l}\frac{\text{HD}\text{TV}}{\text{stnd}\text{TV}}=\frac{1920\times 1080}{460\times 360}\\ \frac{\text{HD}\text{TV}}{\text{stnd}\text{TV}}=\frac{25}{2}\end{array}$

The high definition TV is $\frac{25}{2}$ times higher clarify than standard TV.

Conclusion:

Hence, the ratio of the number of pixels in a high definition TV to the number in a standard TV is $\frac{25}{2}$ .