2024-03-11

Introduction

Summary

keywords

TODO

HW

Exercise*

Next time

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Signed Binary Numbers

Signed-magnitude.

• The first digit refers to the sign of the data.

• N digit signed-magnitude number is at most $-2^{n-1}+1 < = sA < = 2^{n-1}-1$

• first digit 1 is negative, 0 is positive.

• There is two zero representations. 100000. or 000000.

We want to solve the problem that the magnitude is separated with its sign. We want just simple bit-wise addition possible. numerically integrate the sign and its magnitude.

Complement

diminished radix compelemnt, radix complement

1's complement, just reverse the bits.

2's complement, get 1's complement and add 1.

Computational impact

Data distributions

prevent data

https://en.wikipedia.org/wiki/Binary-coded_decimal

Packed, unpacked

packed each decimal stored in 4 bits.