Magnitude5
00000101Decimal to signed binary
Encode in two's complement
Representable range−128 … +127
Two's-complement pattern11111011
MSB · sign bitLSB
Procedure
How the pattern is obtained
The value is non-negative: two's complement uses the ordinary binary representation, padded with leading zeros.
For a negative number: represent its magnitude using the selected width, invert every bit and add 1.
Invert 0 ↔ 1
11111010Add 1
11111010+111111011
Reverse direction
Interpret a two's-complement pattern
You can enter the bits directly. The pattern width must match the width selected above.
Because the most significant bit is 1, the number is negative. Apply two's complement again to recover its magnitude:
Pattern
11111011Invert00000100+100000101Want to practice?
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