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Answer:
What is 1372 octal in binary? 1372 from octal to binary is 1011111010. Here we show you how to write 13728 in binary and how to convert 1372 from base-8 to base-2.
Step-by-step explanation:
In numeral system, we know octal is base-8 and binary is base-2. To convert octal 1372 to binary, you follow these steps:
To do this, first convert octal into decimal, then the resulting decimal into binary
1.) Start from one's place in octal : multiply ones place with 8^0, tens place with 8^1, hundreds place with 8^2 and so on from right to left
2.) Add all the products we got from step 1 to get the decimal equivalent of given octal value.
3.) Then, divide decimal value we got from step-2 by 2 keeping notice of the quotient and the remainder.
4.) Continue dividing the quotient by 2 until you get a quotient of zero.
5.) Then just write out the remainders in the reverse order to get binary equivalent of decimal number.
First, convert 13728 into decimal, by using above steps:
= 13728
= 1 × 833 × 827 × 812 × 80
= 76210
Now, we have to convert 76210 to binary
762 / 2 = 381 with remainder 0
381 / 2 = 190 with remainder 1
190 / 2 = 95 with remainder 0
95 / 2 = 47 with remainder 1
47 / 2 = 23 with remainder 1
23 / 2 = 11 with remainder 1
11 / 2 = 5 with remainder 1
5 / 2 = 2 with remainder 1
2 / 2 = 1 with remainder 0
1 / 2 = 0 with remainder 1
Then just write down the remainders in the reverse order to get the answer, The octal number 1372 converted to binary is therefore equal to :
1011111010