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    Binary Code Notes

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    agamjot496

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    Binary Code Notes

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    agamjot496
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    4 views2 pages

    Binary Code Notes

    Uploaded by

    agamjot496

    Copyright:

    © All Rights Reserved
    Download as TXT, PDF, TXT or read online from Scribd
    Download as txt, pdf, or txt
    of 2

    Binary Code: Notes

    Definition:

    Binary code is a system of representing data and instructions using binary digits
    (bits), which are 0s and 1s.
    It forms the fundamental language of computers, where all data is processed and
    stored in binary format.
    Binary System:

    Uses base-2 numbering system (0 and 1) to represent numeric values and characters.
    Each digit in a binary number is called a bit (binary digit).
    Representation:

    Numeric Values: Binary numbers represent integers using powers of 2 (e.g., 1011 in
    binary is 1×2^3 + 0×2^2 + 1×2^1 + 1×2^0 = 11 in decimal).
    Characters: Binary code can represent text characters using character encoding
    schemes like ASCII (American Standard Code for Information Interchange) or Unicode.
    Instructions: Binary instructions (machine language) direct computer operations at
    the lowest level.
    Conversion:

    Decimal to Binary: Divide the decimal number by 2 repeatedly, recording remainders


    (e.g., converting 13 to binary: 13 ÷ 2 = 6 R1, 6 ÷ 2 = 3 R0, 3 ÷ 2 = 1 R1, 1 ÷ 2 =
    0 R1; binary = 1101).
    Binary to Decimal: Multiply each binary digit by 2 raised to its position (e.g.,
    1101 in binary is 1×2^3 + 1×2^2 + 0×2^1 + 1×2^0 = 13 in decimal).
    Uses:

    Computing: All data and instructions within a computer system are ultimately
    represented and processed in binary.
    Digital Communication: Binary is used for transmitting data over networks and
    storing data on digital devices.
    Programming: Machine language instructions and low-level programming languages
    directly manipulate binary code.
    Binary Operations:

    AND, OR, NOT: Basic logical operations used in binary arithmetic and Boolean
    algebra.
    Shift and Rotate: Move bits left or right in a binary number.
    Bit Depth:

    Refers to the number of bits used to represent each pixel in an image or sample in
    audio (e.g., 8-bit, 16-bit, 32-bit).
    Binary and Computing:

    Binary Arithmetic: Addition, subtraction, multiplication, and division are


    performed using binary rules.
    Binary Storage: Data in computer memory and storage devices is organized into
    binary formats.
    Advantages:

    Efficient representation of data and instructions.


    Universal standard across computing systems ensures compatibility and
    interoperability.
    Challenges:

    Can be cumbersome for humans to interpret and work with directly.


    Error-prone in manual manipulation due to large numbers of digits.
    Understanding binary code is essential for understanding how computers operate at
    the lowest levels and is foundational knowledge for computer science, programming,
    and digital communication.

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