Binary

Arithmetic

 

 

 

Binary Arithmetic

 

        Addend

        0

        1

        Augend

        0

        0

        1

        1

        1

        10

 

        Subtrahend

        0

        1

        Minuend

        0

        0

        1

        1

        *

        0

        Multiplicand

        0

        1

        Multiplier

        0

        0

        0

        1

        0

        1

 

Binary Addition

Binary Subtraction

Binary Multiplication

multiplicand: multiplier: product
00001011 00001101 00000000
00010110 00000110 00001011
00101100 00000011 00001011
01011000 00000001 00110111
10110000 00000000 10001111

 

Binary Division

Signed Numbers

Sign/Magnitude

One's Complement

Two's Complement

Two's Complement Subtraction

Biased representation

    Binary

    Unsigned

    Sign/

    Magnitude

    One's

    Complement

    Two's

    Complement

    Biased

    0000

    0

    0

    0

    0

    -8

    0001

    1

    1

    1

    1

    -7

    0010

    2

    2

    2

    2

    -6

    0011

    3

    3

    3

    3

    -5

    0100

    4

    4

    4

    4

    -4

    0101

    5

    5

    5

    5

    -3

    0110

    6

    6

    6

    6

    -2

    0111

    7

    7

    7

    7

    -1

    1000

    8

    -0

    -7

    -8

    0

    1001

    9

    -1

    -6

    -7

    1

    1010

    10

    -2

    -5

    -6

    2

    1011

    11

    -3

    -4

    -5

    3

    1100

    12

    -4

    -3

    -4

    4

    1101

    13

    -5

    -2

    -3

    5

    1110

    14

    -6

    -1

    -2

    6

    1111

    15

    -7

    -0

    -1

    7