Question

Convert 241.23 (base eight) to base ten

Answer 1

Step-by-step explanation:

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The Correct Answer Of These Question Is 2412.3

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Answer 2

$161.296875_{10}$

In order to convert the octal number 241.23, we must first convert its integral and fractional parts separately before adding them to obtain the corresponding decimal number, as shown below:

1.Multiply the ones place with 80, the tens place with 81, the hundreds place with 82, and so on from right to left in the integral portion of the octal number.

2.Multiply the tenths place of an octal number by 8-1, the hundredths place by 8-2, and so on from left to right.

3.Combining the results from steps 1 and 2 will give you the decimal equivalent of 241.23.

The integral component 241 is first converted to a decimal number using the procedures above (remember that we start at one and work our way up).

"1" in decimal form is equal to 1 8 0 = 1.

"4" in decimal form equals 4 8 1 = 32.

"2" in decimal form is equal to 2 8 2 = 128.

"241" in decimal form is equal to 128321.

241 = 161

Now, we'll convert the fractional part of 0.23 to decimal form (remember, we start at the tenth place and work our way up):

"2" in decimal form is equal to 2 x 8 -1 = 0.25.

"3" in decimal form is equal to 3 8 2 = 0.046875.

"0.23" in decimal form is equal to 0.250.046875

0.23 = 0.296875

Here is the resolution. The decimal equivalent of the octal number 241.23 is thus:

= $241.23_{8}$

= $161_{10}$ + $0.296875_{10}$

= $161.296875_{10}$

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