Radix Conversations
Number Types
- Decimal
- Hex
- Octal
- Binary
Possible Conversations
- Decimal <-> Binary
- Decimal <-> Octal
- Decimal <-> Hex
- Binary <-> Octal
- Binary <-> Hex
- Octal <-> Hex
Decimal -> Binary
-> Take decimal 49
-> 64 is big so
-> 32 X (1/0) + 16 X (1/0) + 8 X (1/0) + 4 X (1/0) +
2 X (1/0) + 1 X (1/0)
-> 32 X 1 + 16 X 1 + 8 X 0 + 4 X 0 + 2 X 0 + 1 X 1
-> 110001
Binary -> Decimal
-> Take binary 110001
-> 32 X 1 + 16 X 1 + 8 X 0 + 4 X 0 + 2 X 0 + 1 X 1
-> 49
Decimal -> Octal
-> Take decimal 49
-> 64 is big so
-> 32 X (1/0) + 16 X (1/0) + 8 X (1/0) + 4 X (1/0) +
2 X (1/0) + 1 X (1/0)
-> 32 X 1 + 16 X 1 + 8 X 0 + 4 X 0 + 2 X 0 + 1 X 1
-> 110001
-> divide into 3 digits
-> 110 and 001
-> 6 and 1
-> 61
Octal -> Decimal
-> Take octal 61
-> 6 and 1
-> convert into 3 digit binary
-> 110 and 001
-> 110001
-> 32 X 1 + 16 X 1 + 8 X 0 + 4 X 0 + 2 X 0 + 1 X 1
-> 49
Decimal -> Hex
-> Take decimal 49
-> 64 is big so
-> 32 X (1/0) + 16 X (1/0) + 8 X (1/0) + 4 X (1/0) +
2 X (1/0) + 1 X (1/0)
-> 32 X 1 + 16 X 1 + 8 X 0 + 4 X 0 + 2 X 0 + 1 X 1
-> 110001
-> divide into 4 digits
-> 0011 and
0001
-> 3 and 1
-> 31
Hex -> Decimal
-> Take hex 31
-> 3 and 1
-> convert into 4 digit binary
-> 0011 and 0001
-> 110001
-> 32 X 1 + 16 X 1 + 8 X 0 + 4 X 0 + 2 X 0 + 1 X 1
-> 49
Binary -> Hex
-> Take binary 110001
-> divide into 4 digits
-> 0011 and
0001
-> 3 and 1
-> 31
Hex -> Binary
-> Take hex 31
-> 3 and 1
-> convert into 4 digit binary
-> 0011 and 0001
-> 110001
Binary -> Octal
-> Take binary 110001
-> divide into 3 digits
-> 110 and 001
-> 6 and 1
-> 61
Octal -> Binary
-> Take octal 61
-> 6 and 1
-> convert into 3 digit binary
-> 110 and 001
-> 110001
Octal -> Hex
-> Take octal 61
-> 6 and 1
-> convert into 3 digit binary
-> 110 and 001
-> 110001
-> Take binary 110001
-> divide into 4 digits
-> 0011 and
0001
-> 3 and 1
-> 31
Hex -> Octal
-> Take hex 31
-> 3 and 1
-> convert into 4 digit binary
-> 0011 and 0001
-> 110001
-> divide into 3 digits
-> 110 and 001
-> 6 and 1
-> 61
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