base 10 78 to base 8 - what is an elementary step by step solution to solving the problem.
2006-11-02 15:39:12 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Is there a way to confirm on a ti-83 what a base 10 to base 8 number is and vice versa, as in anything to do with base 10?
2006-11-02 15:55:12 · update #1
To find the number of digits you will need, compute ceiling( log 78 / log 8 ) = 3, where ceiling(x) is the smallest integer >= x.
Therefore 78 = a2 * 8^2 + a1 * 8^1 + a0 * 80
= 64*a2 + 8*a1 + a0.
To find the digits, divide 78/64 = 1, with remainder 14, so a2=1.
Work with the remainder: 14/8 = 1, with remainder 6, so a1=1.
Finally, 6/1 = 6, with remainder 0, so a0=6.
Therefore 78 in base 10 = 116 in base 8.
2006-11-02 15:44:08 · answer #1 · answered by James L 5 · 1⤊ 0⤋
78/8=9-6
9/8=1-1
so 78 base 10=116 base 8
2006-11-02 23:43:51 · answer #2 · answered by raj 7 · 0⤊ 0⤋
This isn't the best way to learn the math, but it confirms the answer.
Open windows calculator in scientific mode,
in dec mode, type 78
click oct (base 8), giving 116
2006-11-02 23:51:46 · answer #3 · answered by _ 3 · 0⤊ 0⤋
The step by step method is :
on each step, divide by 8, use the remainder as the next leftmost digit, and use the quotient for the following step :
Answer :
2066
2006-11-02 23:43:37 · answer #4 · answered by jackiechan 2 · 0⤊ 0⤋