ConvertNumber conversionOctal to Decimal Converter

Octal to Decimal Converter

Octal and decimal are two different numeral systems used to represent numbers. These systems are used for counting, arithmetic operations, and other mathematical tasks. Here’s a brief overview of each system:

    Fill Out the Form for Expert Academic Guidance!



    +91


    Live ClassesBooksTest SeriesSelf Learning




    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Decimal

    The decimal system, also known as the base-10 system, is the most common numeral system used by humans. It uses ten symbols (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) to represent numbers. Each digit’s position in a decimal number represents a power of 10.

    Octal

    The octal system, also known as the base-8 system, uses eight symbols (0, 1, 2, 3, 4, 5, 6, and 7) to represent numbers. Each digit’s position in an octal number represents a power of 8. For instance, in the number 235 in octal, the “2” represents 2 * 8^2, the “3” represents 3 * 8^1, and the “5” represents 5 * 8^0. Adding these components gives you the total value of 173 in decimal.

    How to convert octal to decimal

    To convert a number from octal to decimal, you can follow these steps:

    • Write down the octal number.
    • Identify the digits in the octal number from left to right.
    • Assign a power of 8 to each digit based on its position, starting with 0 for the rightmost digit and increasing by 1 for each subsequent digit.
    • Multiply each digit by 8 raised to its corresponding power and sum up the results.

    Example: Convert the octal number 347 to decimal.

    Ans. Octal number: 347

    Digits: 3, 4, 7

    Now, assign powers of 8 to each digit:

    • The rightmost digit (7) has a power of 8^0 = 1.
    • The middle digit (4) has a power of 8^1 = 8.
    • The leftmost digit (3) has a power of 8^2 = 64.
    • Calculate the decimal value of each digit:

    7 * 8^0 = 7 * 1 = 7

    4 * 8^1 = 4 * 8 = 32

    3 * 8^2 = 3 * 64 = 192

    Now, sum up the results:

    7 + 32 + 192 = 231

    So, the octal number 347 is equivalent to the decimal number 231.

    Also Read: Octal to binary converter

    Octal to decimal conversion table

    Octal

    base 8

    Decimal

    base 10

    0 0
    1 1
    2 2
    3 3
    4 4
    5 5
    6 6
    7 7
    10 8
    11 9
    12 10
    13 11
    14 12
    15 13
    16 14
    17 15
    20 16
    30 24
    40 32
    50 40
    60 48
    70 56
    100 64

    FAQs on Octal to Decimal Converter

    How do you convert octal to decimal?

    o convert octal to decimal: Write down the octal number. Assign powers of 8 to each digit from right to left (starting with 8^0 for the rightmost digit). Multiply each digit by its corresponding power of 8. Sum up the results to get the decimal equivalent.

    What is 7 in octal when converted to decimal?

    The octal number 7 is equivalent to the decimal number 7.

    What is the decimal equivalent of the octal number 123?

    To convert octal 123 to decimal: 3 * 8^0 = 3 * 1 = 3 2 * 8^1 = 2 * 8 = 16 1 * 8^2 = 1 * 64 = 64 Adding these results: 3 + 16 + 64 = 83. So, octal 123 is decimal 83.

    Convert the octal number 139 to decimal.

    To convert octal 139 to decimal: 9 * 8^0 = 9 * 1 = 9 3 * 8^1 = 3 * 8 = 24 1 * 8^2 = 1 * 64 = 64 Adding these results: 9 + 24 + 64 = 97. Therefore, octal 139 is decimal 97.

    How do you convert the octal number 136 to decimal?

    To convert octal 136 to decimal: 6 * 8^0 = 6 * 1 = 6 3 * 8^1 = 3 * 8 = 24 1 * 8^2 = 1 * 64 = 64 Adding these results: 6 + 24 + 64 = 94. Thus, octal 136 is equivalent to decimal 94.

    What is the decimal representation of the octal number 210?

    To convert octal 210 to decimal: 0 * 8^0 = 0 * 1 = 0 1 * 8^1 = 1 * 8 = 8 2 * 8^2 = 2 * 64 = 128 Adding these results: 0 + 8 + 128 = 136. Therefore, octal 210 is equal to decimal 136.

    Chat on WhatsApp Call Infinity Learn
    6
    7
    8
    9
    10
    11
    12
    13