Knowee
Questions
Features
Study Tools

onvert (67.250) 10 to Binary*

Question

onvert (67.250) 10 to Binary*

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

Solution

To convert the decimal number 67.250 to binary, we need to handle the integer part (67) and the fractional part (0.250) separately.

  1. Convert the integer part:

    Start by dividing the number by 2 and record the remainder. Continue this process, dividing the result (ignoring the remainder) by 2 each time and recording the remainder, until the result is 0.

    67 / 2 = 33 remainder 1 (least significant bit or LSB) 33 / 2 = 16 remainder 1 16 / 2 = 8 remainder 0 8 / 2 = 4 remainder 0 4 / 2 = 2 remainder 0 2 / 2 = 1 remainder 0 1 / 2 = 0 remainder 1 (most significant bit or MSB)

    Reading the remainders from bottom to top gives the binary equivalent of the integer part: 1000011.

  2. Convert the fractional part:

    Multiply the fractional part by 2, record the whole number part, and then continue the process with the fractional part of the result, until the fractional part is 0 or you have enough precision.

    0.250 * 2 = 0.500 (whole number part is 0) 0.500 * 2 = 1.000 (whole number part is 1)

    Reading the whole number parts from top to bottom gives the binary equivalent of the fractional part: 01.

So, the binary equivalent of the decimal number 67.250 is 1000011.01.

This problem has been solved

Similar Questions

Program for Decimal to Binary Conversion

Convert decimal number 9.125 to binary number.

CONVERT DECIMAL NUMBER  (19) IN TO BINARY,SELECT AN APPROPRIATE BINARY NUMBER

Write a C program to convert Binary to Hexadecimal number system

Given a number x, reverse its binary form and return the answer in decimal.

1/3

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.