Question

Try the following conversions (i) (514) 8= (?) 10

Answer 1

Answer:Conversion from Octal to Decimal Number System.

Explanation:

Example #1

137 in base 10 is equal to each digit multiplied with its corresponding 10n:

13710 = 1×102+3×101+7×100 = 100+30+7

Octal numbers are read the same way, but each digit counts 8n instead of 10n.

Multiply each digit of the hex number with its corresponding 8n.

Example #2

37 in base 8 is equal to each digit multiplied with its corresponding 8n:

378 = 3×81+7×80 = 24+7 = 31

Example #3

7014 in base 8 is equal to each digit multiplied with its corresponding power of 8:

70148 = 7×83+0×82+1×81+4×80= 3584+0+8+4 = 3596

Decimal Result:

332