Knowee
Questions
Features
Study Tools

smallest binary value that that is larger than 0.2410

Question

smallest binary value that that is larger than 0.2410

🧐 Not the exact question you are looking for?Go ask a question

Solution

The smallest binary value larger than 0.24 in decimal is a bit tricky to find directly. However, we can approximate it by converting decimal fractions to binary.

Here are the steps:

  1. Multiply the decimal by 2. The integer part of the resulting decimal number will be the first digit (from the right, also known as the least significant bit) of the binary equivalent.

  2. Remove the integer part of the result from step 1.

  3. Repeat steps 1 and 2 until you either get to 0 or you have a sufficient level of precision.

Let's do this for 0.24:

  1. 0.24 * 2 = 0.48. The integer part is 0.

  2. We remove the integer part, leaving us with 0.48.

  3. Repeat the process:

    • 0.48 * 2 = 0.96. The integer part is 0.
    • 0.96 * 2 = 1.92. The integer part is 1.
    • 0.92 * 2 = 1.84. The integer part is 1.
    • 0.84 * 2 = 1.68. The integer part is 1.
    • 0.68 * 2 = 1.36. The integer part is 1.
    • 0.36 * 2 = 0.72. The integer part is 0.
    • 0.72 * 2 = 1.44. The integer part is 1.
    • 0.44 * 2 = 0.88. The integer part is 0.
    • 0.88 * 2 = 1.76. The integer part is 1.
    • 0.76 * 2 = 1.52. The integer part is 1.
    • 0.52 * 2 = 1.04. The integer part is 1.
    • 0.04 * 2 = 0.08. The integer part is 0.

So, the binary equivalent of 0.24 (to a reasonable level of precision) is 0.00111101111. The smallest binary value that is larger than this would be 0.00111110000.

This problem has been solved

Similar Questions

SELECT AN APPROPRIATE BINARY NUMBER FOR DECIMAL NUMBER (32)

A binary number is a combination of 1s and 0s. Its nth least significant digit is the nth digit starting from the right. Given a decimal number, convert it to binary and determine the value of the 4th least significant digit. Create a user-defined function in python to accomplish this task. If the 4th least significant digit is not available, print “NA”. Read N number of integers and print their 4th least significant digits as shown in sample input and output. Sample Input:42377909985Sample Output:010NA

A number greater than 32 would require a minimum of how may bits in binary representation?  56410

What is the binary equivalent of 250?1 point1111 11001111 10101111 10011111 1000

You are given a list of binary numbers [110011, 111010, 11011, 1110, 11000, 101010, 11110]. </br>You can freely choose any 2 numbers from this list. You have to choose them so that the XOR of those 2 numbers is minimized. What is the minimum XOR value possible?

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.