eolas/zk/Signed_magnitude_representation.md

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---
id: 3wsh
title: Signed_magnitude_representation
tags: []
created: Wednesday, March 20, 2024
---
# Signed magnitude representation
## Summary
## Detail
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The concept behind SMR is similar to how we designate positive and negative
integers in denary mathematics: we use a dedicated symbol (`-`) to signpost that
the integer is negative. In the binary application the dedicated symbol is one
of the binary digits that comprise the number.
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.
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## Applications
## Related notes