Add 58 base eight and 67base eight giving the answer in base eight
58 is not a valid base-8 number.
Only the digits 0-7 may be used.
To add 58 base eight and 67 base eight, we first convert each number to base ten.
58 base eight = 5*(8^1) + 8^0 = 5*8 + 1 = 41 base ten
67 base eight = 6*(8^1) + 7*(8^0) = 6*8 + 7 = 55 base ten
Next, we add the base ten numbers:
41 + 55 = 96
Lastly, we convert the sum, 96 base ten, back to base eight.
To do this, we divide 96 by 8 until we reach a quotient of 0.
96 ÷ 8 = 12 with a remainder of 0,
12 ÷ 8 = 1 with a remainder of 4,
1 ÷ 8 = 0 with a remainder of 1.
Reading the remainders backward, we get 140 base eight.
Therefore, 58 base eight + 67 base eight = 140 base eight.
Apologies for the mistake. Let's correct it.
To add 58 base eight and 67 base eight, we convert each number to base ten.
58 base eight = 5*(8^1) + 8^0 = 5*8 + 8 = 40 base ten
67 base eight = 6*(8^1) + 7*(8^0) = 6*8 + 7 = 55 base ten
Next, we add the base ten numbers:
40 + 55 = 95
Lastly, we need to convert the sum, 95 base ten, back to base eight.
Dividing 95 by 8 until we reach a quotient of 0:
95 ÷ 8 = 11 with a remainder of 7,
11 ÷ 8 = 1 with a remainder of 3,
1 ÷ 8 = 0 with a remainder of 1.
Reading the remainders backward, we get 137 base eight.
Therefore, 58 base eight + 67 base eight = 137 base eight.