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Questions tagged [twos-complement]

Two's complement is a mathematical operation on binary numbers, as well as a binary signed number representation based on this operation.

A two's complement number follows the same principal as a pure binary number, except for the first bit: the most significant bit. If this bit is 0, the binary number is positive, if it's 1 then the number will be negative.

For example:

01110 = 8 + 4 + 2
      = 14

10010 = -16 + 2
      = -14

So 01110 is 14 in denary and 10010 is -14 in denary

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Binary addition overflow and sum correctness

I need a bit advice of the following topics: adding two signed/magnitude and adding two complement binary numbers. I did my calculations on paper and uploaded the picture. Sorry if my picture is sideways (I don't know why the upload does that)…
axesspwns
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How to cast an int larger than 127 to a byte in Clojure

The byte 0xea is equal to 234 in base 10. In Python, bytes are represented using unsigned integers, but in Java, they are signed, two's complement integers. For example, in Java, if I cast (byte)234, I get the signed integer -22. When I use those…
tlehman
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adding two decimal number using two's complement

Given Question: Assume 151 and 214 are signed 8-bit decimal integers stored in two’s complement format. Calculate 151+214, the result should be written in decimal. Check for overflow. Hint: overflow occurs when the result of adding two positive…
user7182612
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Convert negative binary number to decimal

For example: string binaryValue = "11111111111111111111111111111011" // -5 I need to convert this string to decimal representatin of this number. stoi(binaryValue, nullptr, 2) Will throw exception on this case. So how can i do this in c++ ? String…
Areyana
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Convert 24 bit two's complement to int?

I have a C#/Mono app that reads data from an ADC. My read functions returns it as ulong. The data is in two complement and I need to translate it into int. E.g.: 0x7FFFFF = + 8,388,607 0x7FFFFE = + 8,388,606 0x000000 = 0 0xFFFFFF = -1 0x800001 = -…
Cristian M
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Assembly imul signed

thx for help my question is about ax value received from code below? mov al,22h mov cl,0fdh imul cl Actual machine result: ff9a What I expected: 00:9a (by multiplying in binary) The first number is 22h so its 34 decimal its already unsigned the…
Hai Vaknin
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Are the bytes stored in 6502 memory signed or unsigned?

While creating instruction functions for my 6502/NES emulator, I got stuck at understanding the concept of signed bytes and two's complement in the 6502. So apparently, branch instructions such as BMI use a signed byte in memory for…
Joshua Jang
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How to find 9s complement of a given decimal number?

Given decimal number=12 One way to find 9s complement is to simply find 10s complement and subtract 1. By this method I get answer=87. However can i solve this problem by first finding the equivalent of 12 in base 9 number system which would be 13.…
Kishan Kumar
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Arithmetic with unsigned variables in C

How can an unsigned char, for example, take values from -128 to +127? From what I understand the most significant bit is used to represent the sign of the number, and the remaining bits of a char are used to represent the magnitude of the number.…
Abhishek Sagar
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What is a 32-bit two's complement?

I'm really confused about the term "32-bit twos complement" If I have the number 9, what is the 32-bit twos complement? 9 = 1001 Two's complement = 0111 32-bit 9 = 0000 0000 0000 0000 0000 0000 0000 1001 Two's complement = 1111 1111 1111 1111 1111…
ineedahero
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Differentiating Unsigned vs. Positive and Negative Binary Numbers

So, I'm new to assembly programming, as well as the concept of "two's complement" representation of negative numbers, and I'm a little confused. In the book that I'm reading on the subject of assembly (and on every online resource I've consulted),…
CornOnTheMacabre
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Twos Complement ~0 signed

I'm new here but I was just wondering what ~0 would be if in the two's complement system, signed integer. Is it -1 because the flipping of 0 is 1, but if it's signed the answer would be -1? Or is the answer just 1 and just because I'm working with…
Z. H.
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Why is ~3 equal to -4 in Python?

I'm getting started in Python programming. I'm reading a basic tutorial, but this point is not very clear to me. I would appreciate any help you can give me.
elgianka
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How can I store numbers > 128 in a signed one byte interger?

I am reading the book Art of Assembly Language. There I came across this paragraph. If the H.O. bit is zero, then the number is positive and is stored as a standard binary value. If the H.O. bit is one, then the number is negative and is…
narayanpatra
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What is good way to negate an integer in binary operation in python?

Based on what I've read about the binary representation of integers, the first bit is for sign (positive or negative). Let's say we have an integer x = 5 and sys.getsizeof(x) returns 28 (that is binary representation in 28 bit). For now I am trying…
Hypnoz
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