|
mathematical expression |
quotient |
remainder |
|
247 divided by 8 |
30 |
7 |
|
30 divided by 8 |
3 |
6 |
|
3 divided by 8 |
0 |
3 |
|
0 divided by 8 |
DONE |
|
This
means that (274 base 10) is equivalent in value to (367 base
8).
|
367 base 8 |
|
(3 * 82) + (6 * 81) + (7 * 80) |
|
(3 *64) + (6 * 8) + (7 * 1) |
|
192 + 48 + 7 |
|
247 base 10 |
--------------------------------------------------------------
|
mathematical expression |
quotient |
remainder |
|
1720 divided by 16 |
107 |
8 |
|
107 divided by 16 |
6 |
11 |
|
6 divided by 8 |
0 |
6 |
|
0 divided by 8 |
DONE |
|
This means that (1720 base 10) is equivalent in value to (6B8 base 16).
|
6B8 base 16 |
|
(6 * 162) + (11 * 161) + (8 * 160) |
|
(6 * 256) + (11 * 16) + (8 * 1) |
|
1536 + 176 + 8 |
|
1720 base 10 |
--------------------------------------------------------------
|
mathematical expression |
quotient |
remainder |
|
215 divided by 2 |
107 |
1 |
|
107 divided by 2 |
53 |
1 |
|
53 divided by 2 |
26 |
1 |
|
26 divided by 2 |
13 |
0 |
|
13 divided by 2 |
6 |
1 |
|
6 divided by 2 |
3 |
0 |
|
3 divided by 2 |
1 |
1 |
|
1 divided by 2 |
0 |
1 |
|
0 divided by 8 |
DONE |
|
This means that (215 base 10) is equivalent in value to (11010111 base 2).
|
11010111 base 2 |
|
(1 * 27) + (1 * 26) + (0 * 25) + (1 * 24) + (0 * 23) + (1 * 22) + (1 * 21) + (1 * 20) |
|
(1 * 128) + (1 * 64) + (0 * 32) + (1 * 16) + (0 * 8) + (1 * 4) + (1 * 2) + (1 * 1) |
|
128 + 64 + 0 + 16 + 0 + 4 + 2 + 1 |
|
215 base 10 |
This means that (110111 base 2) is equivalent in value to (215 base 10).