0.625 to Binary Conversion
Introduction
In this article, we will discuss the conversion of the decimal number 0.625 to its binary equivalent. Binary numbers are the basis of computer programming and are used to represent information in computers.
What is a Binary Number?
A binary number is a number that consists of only two digits: 0 and 1. This is in contrast to decimal numbers, which consist of 10 digits from 0 to 9. Binary numbers are used in computers because they can be easily represented using electronic switches, which are the fundamental components of digital computers.
Converting 0.625 to Binary
To convert the decimal number 0.625 to its binary equivalent, we can use the following steps:
Step 1: Convert the Integer Part
The integer part of the decimal number 0.625 is 0. Since the binary equivalent of 0 is 0, we can write the integer part of the binary number as:
0
Step 2: Convert the Fractional Part
The fractional part of the decimal number 0.625 is 0.625. To convert this to binary, we can multiply the fractional part by 2 and take the integer part of the result as the next binary digit. We repeat this process until the fractional part becomes 0.
0.625 × 2 = 1.25
Integer part: 1
Fractional part: 0.25
0.25 × 2 = 0.5
Integer part: 0
Fractional part: 0.5
0.5 × 2 = 1.0
Integer part: 1
Fractional part: 0.0
Since the fractional part has become 0, we can stop the process. The binary equivalent of the fractional part is 0.101.
Step 3: Combine the Integer and Fractional Parts
Combining the integer and fractional parts, we get the final binary equivalent of 0.625:
0.101
Result
The binary equivalent of the decimal number 0.625 is 0.101.
