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Duncan C
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You cannot do what you are trying to do. There is no direct correspondence between some number of bits and a decimal digit.

With hexadecimal, every 4 bits corresponds to exactly 1 hex digit. That is why hex is used for computers.

One hex digit represents exactly 4 bits. Every time you add another hex digit, you add 4 bits.

Two hex digits corresponds to exactly a byte. 00h to FFh represents a value from 0 to 255.

There is no such direct correspondence between binary and decimal. If you have 4 bits, it takes 1 or 2 decimal digits to represent it (0-15) If you have 8 bits, it takes 1, 2, or 3 decimal digits to represent it, but there are 3 digit decimal values (values > 255) that you can't represent with 8 bits.

Binary  Hex Decimal
0000    0   0
0001    1   1
0010    2   2
0011    3   3
0100    4   4
0101    5   5
0110    6   6
0111    7   7
1000    8   8
1001    9   9
1010    A   10
1011    B   11
1100    C   12
1101    D   13
1110    E   14
1111    F   15

You simply cannot convert a binary number to decimal using bit shifting and masking.

As @Kwasmich says in their answer, the closest you're likely to come would be to convert your binary value to BCD (Binary coded decimal) where each 4 bits holds a decimal digit. You could convert THAT to decimal character output using masking and shifting.

You cannot do what you are trying to do. There is no direct correspondence between some number of bits and a decimal digit.

With hexadecimal, every 4 bits corresponds to exactly 1 hex digit. That is why hex is used for computers.

One hex digit represents exactly 4 bits. Every time you add another hex digit, you add 4 bits.

Two hex digits corresponds to exactly a byte. 00h to FFh represents a value from 0 to 255.

There is no such direct correspondence between binary and decimal. If you have 4 bits, it takes 1 or 2 decimal digits to represent it (0-15) If you have 8 bits, it takes 1, 2, or 3 decimal digits to represent it, but there are 3 digit decimal values (values > 255) that you can't represent with 8 bits.

Binary  Hex Decimal
0000    0   0
0001    1   1
0010    2   2
0011    3   3
0100    4   4
0101    5   5
0110    6   6
0111    7   7
1000    8   8
1001    9   9
1010    A   10
1011    B   11
1100    C   12
1101    D   13
1110    E   14
1111    F   15

You simply cannot convert a binary number to decimal using bit shifting and masking.

You cannot do what you are trying to do. There is no direct correspondence between some number of bits and a decimal digit.

With hexadecimal, every 4 bits corresponds to exactly 1 hex digit. That is why hex is used for computers.

One hex digit represents exactly 4 bits. Every time you add another hex digit, you add 4 bits.

Two hex digits corresponds to exactly a byte. 00h to FFh represents a value from 0 to 255.

There is no such direct correspondence between binary and decimal. If you have 4 bits, it takes 1 or 2 decimal digits to represent it (0-15) If you have 8 bits, it takes 1, 2, or 3 decimal digits to represent it, but there are 3 digit decimal values (values > 255) that you can't represent with 8 bits.

Binary  Hex Decimal
0000    0   0
0001    1   1
0010    2   2
0011    3   3
0100    4   4
0101    5   5
0110    6   6
0111    7   7
1000    8   8
1001    9   9
1010    A   10
1011    B   11
1100    C   12
1101    D   13
1110    E   14
1111    F   15

You simply cannot convert a binary number to decimal using bit shifting and masking.

As @Kwasmich says in their answer, the closest you're likely to come would be to convert your binary value to BCD (Binary coded decimal) where each 4 bits holds a decimal digit. You could convert THAT to decimal character output using masking and shifting.

You cannot do what you are trying to do. There is no direct correspondence between some number of bits and a decimal digit.

With hexadecimal, every 4 bits corresponds to exactly 1 hex digit. That is why hex is used for computers.

One hex digit represents exactly 4 bits. Every time you add another hex digit, you add 4 bits.

Two hex digits corresponds to exactly a byte. 00h to FFh represents a value from 0 to 255.

There is no such direct correspondence between binary and decimal. If you have 4 bits, it takes 1 or 2 decimal digits to represent it (0-15) If you have 8 bits, it takes 1, 2, or 3 decimal digits to represent it, but there are 3 digit decimal values (values > 255) that you can't represent with 8 bits.

Binary Hex Decimal 0000 0 0 0001 1 1 0010 2 2 0011 3 3 0100 4 4 0101 5 5 0110 6 6 0111 7 7 1000 8 8 1001 9 9 1010 A 10 1011 B 11 1100 C 12 1101 D 13 1110 E 14 1111 F 15

Binary  Hex Decimal
0000    0   0
0001    1   1
0010    2   2
0011    3   3
0100    4   4
0101    5   5
0110    6   6
0111    7   7
1000    8   8
1001    9   9
1010    A   10
1011    B   11
1100    C   12
1101    D   13
1110    E   14
1111    F   15

You simply cannot convert a binary number to decimal using bit shifting and masking.

You cannot do what you are trying to do. There is no direct correspondence between some number of bits and a decimal digit.

With hexadecimal, every 4 bits corresponds to exactly 1 hex digit. That is why hex is used for computers.

One hex digit represents exactly 4 bits. Every time you add another hex digit, you add 4 bits.

Two hex digits corresponds to exactly a byte. 00h to FFh represents a value from 0 to 255.

There is no such direct correspondence between binary and decimal. If you have 4 bits, it takes 1 or 2 decimal digits to represent it (0-15) If you have 8 bits, it takes 1, 2, or 3 decimal digits to represent it, but there are 3 digit decimal values (values > 255) that you can't represent with 8 bits.

Binary Hex Decimal 0000 0 0 0001 1 1 0010 2 2 0011 3 3 0100 4 4 0101 5 5 0110 6 6 0111 7 7 1000 8 8 1001 9 9 1010 A 10 1011 B 11 1100 C 12 1101 D 13 1110 E 14 1111 F 15

You simply cannot convert a binary number to decimal using bit shifting and masking.

You cannot do what you are trying to do. There is no direct correspondence between some number of bits and a decimal digit.

With hexadecimal, every 4 bits corresponds to exactly 1 hex digit. That is why hex is used for computers.

One hex digit represents exactly 4 bits. Every time you add another hex digit, you add 4 bits.

Two hex digits corresponds to exactly a byte. 00h to FFh represents a value from 0 to 255.

There is no such direct correspondence between binary and decimal. If you have 4 bits, it takes 1 or 2 decimal digits to represent it (0-15) If you have 8 bits, it takes 1, 2, or 3 decimal digits to represent it, but there are 3 digit decimal values (values > 255) that you can't represent with 8 bits.

Binary  Hex Decimal
0000    0   0
0001    1   1
0010    2   2
0011    3   3
0100    4   4
0101    5   5
0110    6   6
0111    7   7
1000    8   8
1001    9   9
1010    A   10
1011    B   11
1100    C   12
1101    D   13
1110    E   14
1111    F   15

You simply cannot convert a binary number to decimal using bit shifting and masking.

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Duncan C
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  • 3
  • 18
  • 30

You cannot do what you are trying to do. There is no direct correspondence between some number of bits and a decimal digit.

With hexadecimal, every 4 bits corresponds to exactly 1 hex digit. That is why hex is used for computers.

One hex digit represents exactly 4 bits. Every time you add another hex digit, you add 4 bits.

Two hex digits corresponds to exactly a byte. 00h to FFh represents a value from 0 to 255.

There is no such direct correspondence between binary and decimal. If you have 4 bits, it takes 1 or 2 decimal digits to represent it (0-15) If you have 8 bits, it takes 1, 2, or 3 decimal digits to represent it, but there are 3 digit decimal values (values > 255) that you can't represent with 8 bits.

Binary Hex Decimal 0000 0 0 0001 1 1 0010 2 2 0011 3 3 0100 4 4 0101 5 5 0110 6 6 0111 7 7 1000 8 8 1001 9 9 1010 A 10 1011 B 11 1100 C 12 1101 D 13 1110 E 14 1111 F 15

You simply cannot convert a binary number to decimal using bit shifting and masking.