Question

convert the following octal number 454 to decimal​

Answer 1

Explanation:

Step by step solution

Step 1: Write down the octal number:

454

Step 2: Multiply each digit of the octal number by the corresponding power of eight:

4x82 + 5x81 + 4x80

Step 3: Solve the powers:

4x64 + 5x8 + 4x1

Step 4: Add up the numbers written above:

256 + 40 + 4 = 300

So, 300 is the decimal equivalent of the octal number 454.

Answer 2

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$(454)_{8} = 4 \times {8}^{2} + 5 \times {8}^{1} + 4 \times {8}^{0} \\ \\ (454)_{8} = 4 \times 64 + 5 \times 8 + 4 \times 1 \\ \\ (454)_{8} = 256 + 40 + 4 = > (300)_{10} \\ \\ (454)_{8} = (300)_{10}$

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