Numeracy 1 0 – Octdechex Converter

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Here is a handy calculator you can use to do all types of unit conversion. Note: the previous versions are here (Flash), here (Flash), and here (JavaScript). Free Calculators and Converters. Your Math (mathematics) is made easy here. Calculate things online with just mouse moves. This free online math web site will help you learn mathematics in a easier way.

To use this decimal to octal converter, you must type a decimal value like 245 into the left field below, and then hit the Convert button. The converter will give you the octal equivalent of the given decimal number.

Decimal to octal conversion result in base numbers

Decimal System

The decimal numeral system is the most commonly used and the standard system in daily life. It uses the number 10 as its base (radix). Therefore, it has 10 symbols: The numbers from 0 to 9; namely 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

As one of the oldest known numeral systems, the decimal numeral system has been used by many ancient civilizations. The difficulty of representing very large numbers in the decimal system was overcome by the Hindu–Arabic numeral system. The Hindu-Arabic numeral system gives positions to the digits in a number and this method works by using powers of the base 10; digits are raised to the n^th power, in accordance with their position.

For instance, take the number 2345.67 in the decimal system:

• The digit 5 is in the position of ones (10⁰, which equals 1),
• 4 is in the position of tens (10¹)
• 3 is in the position of hundreds (10²)
• 2 is in the position of thousands (10³)
• Meanwhile, the digit 6 after the decimal point is in the tenths (1/10, which is 10^-1) and 7 is in the hundredths (1/100, which is 10^-2) position
• Thus, the number 2345.67 can also be represented as follows: (2 * 10³) + (3 * 10²) + (4 * 10¹) + (5 * 10⁰) + (6 * 10^-1) + (7 * 10^-2)

The Octal System

The octal number system (or shortly oct) uses the number 8 as its base (radix). As a base-8 numeral system, it uses eight symbols: The numbers from 0 to 7, namely 0, 1, 2, 3, 4, 5, 6 and 7. Although it was used by some native American tribes until the 20th century, the octal system has become popular in the early ages of computing as a language of computer programming. This is because the octal system shortens binary by simplifying long and complex chains of binary displays used by computers.

The octal system is mainly used for counting binary in groups of three: Each octal digit represents three binary digits. Since 8 is 2 to the third power (2³), the octal system became a perfect abbreviation of binary for machines that employ word sizes divisible by three - which were 6-bit, 12-bit, 24-bit or 36-bit. Nowadays, most modern systems use hexadecimal rather than octal. However, octal numbers are an important part of basic knowledge in electronics.

How to Calculate Decimal to Octal

Decimal to octal conversion can be achieved by applying the repeated division and remainder algorithm. Simply put, the decimal number is repeatedly divided by the radix 8. In between these divisions, the remainders give the octal equivalent in reverse order.

Here is how to convert decimal to octal step by step:

• Step 1: If the given decimal number is less than 8, the octal equivalent is the same. If the given number is greater than 7, divide the number by 8.
• Step 2: Write down the remainder.
• Step 3: Divide the part before the decimal point of your quotient by 8 again.
• Step 4: Write down the remainder.
• Step 5: Continue this process of dividing by 8 and noting the remainders until the last decimal digit you are left with is less than 8.
• Step 6: When the last decimal digit is less than 8, the quotient will be less than 0 and the remainder will be the digit itself.
• Step 7: The last remainder you get will be the most significant digit of your octal value while the first remainder from Step 3 is the least significant digit. Therefore, when you write the remainders in reverse order - starting at the bottom with the most significant digit and going to the top- you will reach the octal value of the given decimal number.

Now, let's apply these steps to, for example, the decimal number (501)₁₀

Decimal to Octal Conversion Examples

Example 1: (1465)₁₀ = (2671)₈

Example 2: (8)₁₀ = (10)₈

Example 3: (10)₁₀ = (12)₈

Example 4: (1234)₁₀ = (2322)₈

In order to use this ascii text to binary converter tool, type an ascii value like 'help' to get '01101000011001010110110001110000' and then hit the Convert button. This is the way you can convert up to 128 ascii text to binary characters.

ASCII Text

• The digit 5 is in the position of ones (10⁰, which equals 1),
• 4 is in the position of tens (10¹)
• 3 is in the position of hundreds (10²)
• 2 is in the position of thousands (10³)
• Meanwhile, the digit 6 after the decimal point is in the tenths (1/10, which is 10^-1) and 7 is in the hundredths (1/100, which is 10^-2) position
• Thus, the number 2345.67 can also be represented as follows: (2 * 10³) + (3 * 10²) + (4 * 10¹) + (5 * 10⁰) + (6 * 10^-1) + (7 * 10^-2)

The Octal System

The octal number system (or shortly oct) uses the number 8 as its base (radix). As a base-8 numeral system, it uses eight symbols: The numbers from 0 to 7, namely 0, 1, 2, 3, 4, 5, 6 and 7. Although it was used by some native American tribes until the 20th century, the octal system has become popular in the early ages of computing as a language of computer programming. This is because the octal system shortens binary by simplifying long and complex chains of binary displays used by computers.

The octal system is mainly used for counting binary in groups of three: Each octal digit represents three binary digits. Since 8 is 2 to the third power (2³), the octal system became a perfect abbreviation of binary for machines that employ word sizes divisible by three - which were 6-bit, 12-bit, 24-bit or 36-bit. Nowadays, most modern systems use hexadecimal rather than octal. However, octal numbers are an important part of basic knowledge in electronics.

How to Calculate Decimal to Octal

Decimal to octal conversion can be achieved by applying the repeated division and remainder algorithm. Simply put, the decimal number is repeatedly divided by the radix 8. In between these divisions, the remainders give the octal equivalent in reverse order.

Here is how to convert decimal to octal step by step:

• Step 1: If the given decimal number is less than 8, the octal equivalent is the same. If the given number is greater than 7, divide the number by 8.
• Step 2: Write down the remainder.
• Step 3: Divide the part before the decimal point of your quotient by 8 again.
• Step 4: Write down the remainder.
• Step 5: Continue this process of dividing by 8 and noting the remainders until the last decimal digit you are left with is less than 8.
• Step 6: When the last decimal digit is less than 8, the quotient will be less than 0 and the remainder will be the digit itself.
• Step 7: The last remainder you get will be the most significant digit of your octal value while the first remainder from Step 3 is the least significant digit. Therefore, when you write the remainders in reverse order - starting at the bottom with the most significant digit and going to the top- you will reach the octal value of the given decimal number.

Now, let's apply these steps to, for example, the decimal number (501)₁₀

Decimal to Octal Conversion Examples

Example 1: (1465)₁₀ = (2671)₈

Example 2: (8)₁₀ = (10)₈

Example 3: (10)₁₀ = (12)₈

Example 4: (1234)₁₀ = (2322)₈

In order to use this ascii text to binary converter tool, type an ascii value like 'help' to get '01101000011001010110110001110000' and then hit the Convert button. This is the way you can convert up to 128 ascii text to binary characters.

ASCII Text

ASCII (American Standard Code for Information Interchange) is one of the most common character encoding standards. Originally developed from telegraphic codes, ASCII is now widely used in electronic communication for conveying text.

As computers can only understand numbers, the ASCII code represents text (characters) with different numbers. This is how a computer ‘understands' and shows text.

The original ASCII is based on 128 characters. These are the 26 letters of the English alphabet (both in lower and upper cases); numbers from 0 to 9; and various punctuation marks. In the ASCII code, each of these characters are assigned a decimal number from 0 to 127. For example, the ASCII representation of upper case A is 65 and the lower case a is 97.

Hexadecimal System (Hex System)

The hexadecimal system (shortly hex), uses the number 16 as its base (radix). As a base-16 numeral system, it uses 16 symbols. These are the 10 decimal digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and the first six letters of the English alphabet (A, B, C, D, E, F). The letters are used because of the need to represent the values 10, 11, 12, 13, 14 and 15 each in one single symbol.

Hex is used in mathematics and information technologies as a more friendly way to represent binary numbers. Each hex digit represents four binary digits; therefore, hex is a language to write binary in an abbreviated form.

Four binary digits (also called nibbles) make up half a byte. This means one byte can carry binary values from 0000 0000 to 1111 1111. In hex, these can be represented in a friendlier fashion, ranging from 00 to FF.

In html programming, colors can be represented by a 6-digit hexadecimal number: FFFFFF represents white whereas 000000 represents black.

How to Convert ASCII Text to Binary

Converting ASCII texts to binary shows how a computer would interpret words. While online converters have rendered the job very easy, one can also do it by hand.

Dec To Hex Converter

To convert from ASCII to Binary, two things are needed:

1. An ASCII table, which shows the decimal codes for 128 symbols (10 digits, 26 letters of the English alphabet both in lower and upper case, a number of punctuation marks and commands);
2. In addition, you should also know how to convert decimal numbers to binary numbers.

Here is how to convert ASCII text to binary step by step:

• Step 1: Figure out what decimal numbers have been assigned to each letter and punctuation mark in the given word.
• Step 2: Convert these decimal numbers to their binary equivalents. Don't forget the punctuation marks.
• Step 3: The binary string acquired at the end shows how a computer would interpret the given word.

Numeracy 1 0 – Octdechex Converter Download

Ascii Text to Binary Conversion Examples

Example 1: Wow!

Example 2: Love

Therefore, the word Love is converted to binary as follows:
01001100 01101111 01110110 01100101

Ascii to Binary Conversion Table

Numeracy 1 0 – Octdechex Converter Pdf

Related converters: Binary To Ascii Text Converter

Also check the Binary Ascii Conversion Table how to convert ascii text to binary.

Numeracy 1 0 – Octdechex Converter Mp4