Autosave: 2024-03-21 07:40:03

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thomasabishop 2024-03-21 07:40:03 +00:00
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---
id: 3wsh
title: Signed_magnitude_representation
tags: []
tags: [binary, binary-encoding]
created: Wednesday, March 20, 2024
---
@ -20,8 +20,18 @@ Typically `0` is used to indicate an unsigned (positive) integer and `1` to
indicate a signed (negative) number. The rest of the bits are the magnitude (the
actual numerical value).
We can demonstrate with an 8-bit binary system.
We can demonstrate with an 8-bit binary system, encoding `5`: `0000 0101`. Here
the furthest bit (aka. the "most significant bit" (MSB)) at the $2^8$ position
is `0`, designating that the number is unsigned. The signed equivalent is
`1000 0101`, with the MSB being `1` designating the number as signed. When we
are working with signed numbers, the MSB is known as the **signed bit**.
### Advantages
### Limitations
## Applications
## Related notes
[[Signed_and_unsigned_numbers|signed_and_unsigned_numbers]]