777 +605 to base 8
777 in base 8 is 1401
605 in base 8 is 1145
1401 + 1145 = 2546
To convert the numbers 777 and 605 to base 8, follow these steps:
1. For the number 777:
a. Divide 777 by 8.
b. The quotient is 97 and the remainder is 1.
c. Write down the remainder (1) as the rightmost digit of your base 8 number.
d. Divide the quotient (97) obtained in step a by 8.
e. The new quotient is 12 and the remainder is 1.
f. Write down the remainder (1) as the next digit to the left of the previous digit.
g. Repeat steps d to f until the quotient is 0.
h. The resulting base 8 number is obtained by writing all the remainders from right to left, i.e., 1151.
2. For the number 605:
a. Divide 605 by 8.
b. The quotient is 75 and the remainder is 5.
c. Write down the remainder (5) as the rightmost digit of your base 8 number.
d. Divide the quotient (75) obtained in step a by 8.
e. The new quotient is 9 and the remainder is 3.
f. Write down the remainder (3) as the next digit to the left of the previous digit.
g. Repeat steps d to f until the quotient is 0.
h. The resulting base 8 number is obtained by writing all the remainders from right to left, i.e., 735.
Therefore, 777 + 605 in base 8 is equal to 1151 + 735, which is equal to 1886.
To convert the numbers 777 and 605 to base 8 and then add them, we need to follow these steps:
Step 1: Convert each number to base 8.
For the number 777:
777 ÷ 8 = 97, remainder 1
97 ÷ 8 = 12, remainder 1
12 ÷ 8 = 1, remainder 4
1 ÷ 8 = 0, remainder 1
So, the number 777 in base 8 is equivalent to 1411.
For the number 605:
605 ÷ 8 = 75, remainder 5
75 ÷ 8 = 9, remainder 3
9 ÷ 8 = 1, remainder 1
1 ÷ 8 = 0, remainder 1
So, the number 605 in base 8 is equivalent to 1135.
Step 2: Add the converted numbers.
1411
+ 1135
_______
2546
Therefore, the sum of 777 and 605 in base 8 is 2546.