how to convert decimal into octal number system please answer who answer answer will mark as winners don't give me the answer unusually
Answers
Answer:
Convert Decimal to Octal with Steps
Follow the steps given below to learn the decimal to octal conversion:
Write the given decimal number
If the given decimal number is less than 8 the octal number is the same.
If the decimal number is greater than 7 then divide the number by 8.
Note the remainder we get after division
Repeat step 3 and 4 with the quotient till it is less than 8
Now, write the remainders in reverse order(bottom to top)
The resultant is the equivalent octal number to the given decimal number.
Explanation:
ecimal to Octal Examples
Example 1: Convert (127)10 to Octal.
Solution: Divide 127 by 8
127 ÷ 8= 15(Quotient) and (7)Remainder
Divide 15 by 8 again.
15 ÷ 8 = 1(Quotient) and (7) Remainder
Divide 1 by 8, we get;
1 ÷ 8 = 0(Quotient) and (1) Remainder
Since the quotient is zero now, no more division can be done. So by taking the remainders in reverse order, we get the equivalent octal number.
Hence, (127)10 = (177)8
Example 2: Convert 5210 to octal.
Solution: Divide 52 by 8
52 ÷ 8 = 6(Quotient) and (4)Remainder
Divide 6 by 8 again.
6 ÷ 8 = 0(Quotient) and (6) Remainder
Since the quotient is zero now, no more division can be done. So by taking the remainders in reverse order, we get the equivalent octal number.
Hence, (52)10 = (64)8
Example 3: Convert 10010 to octal.
Solution: Divide 100 by 8
100 ÷ 8= 12(Quotient) and (4)Remainder
Divide 12 by 8 again.
12 ÷ 8 = 1(Quotient) and (4) Remainder
Divide 1 by 8, we get;
1 ÷ 8 = 0(Quotient) and (1) Remainder
Since the quotient is zero now, no more division can be done. So by taking the remainders in reverse order, we get the equivalent octal number.
Answer:
Convert Decimal to Octal with Steps
Follow the steps given below to learn the decimal to octal conversion:
Write the given decimal number
If the given decimal number is less than 8 the octal number is the same.
If the decimal number is greater than 7 then divide the number by 8.
Note the remainder we get after division
Repeat step 3 and 4 with the quotient till it is less than 8
Now, write the remainders in reverse order(bottom to top)
The resultant is the equivalent octal number to the given decimal number.
Explanation:
Decimal to Octal Examples
Example 1: Convert (127)10 to Octal.
Solution: Divide 127 by 8
127 ÷ 8= 15(Quotient) and (7)Remainder
Divide 15 by 8 again.
15 ÷ 8 = 1(Quotient) and (7) Remainder
Divide 1 by 8, we get;
1 ÷ 8 = 0(Quotient) and (1) Remainder
Since the quotient is zero now, no more division can be done. So by taking the remainders in reverse order, we get the equivalent octal number.
Hence, (127)10 = (177)8
Example 2: Convert 5210 to octal.
Solution: Divide 52 by 8
52 ÷ 8 = 6(Quotient) and (4)Remainder
Divide 6 by 8 again.
6 ÷ 8 = 0(Quotient) and (6) Remainder
Since the quotient is zero now, no more division can be done. So by taking the remainders in reverse order, we get the equivalent octal number.
Hence, (52)10 = (64)8
Example 3: Convert 10010 to octal.
Solution: Divide 100 by 8
100 ÷ 8= 12(Quotient) and (4)Remainder
Divide 12 by 8 again.
12 ÷ 8 = 1(Quotient) and (4) Remainder
Divide 1 by 8, we get;
1 ÷ 8 = 0(Quotient) and (1) Remainder
Since the quotient is zero now, no more division can be done. So by taking the remainders in reverse order, we get the equivalent octal number.