Exercises - Two's Complement & IEEE 754 Form

  1. Convert to 8-bit two's complement form:

    1. $-50$
    2. $127$
    3. $-127$
    4. $-96$

     
    1. 11001110
    2. 01111111
    3. 10000001
    4. 10100000

  2. Find the values with the following 8-bit two's complement forms:

    1. 11111111
    2. 11100000
    3. 11001100
    4. 01110111

     
    1. $-1$
    2. $-32$
    3. $-52$
    4. $119$

  3. Convert the following values to 32-bit IEEE-754 Form

    1. $-5.1$
    2. $3.29$
    3. $0.00000000000000000007653$
    4. $6570000000000000000000$

     
    1. 1 10000001 01000110011001100110011
    2. 0 10000000 10100101000111101011100
    3. 0 00111111 01101001011001110001100
    4. 0 11000111 01100100001010010001000

  4. Find the values with the following 32-bit IEEE-754 forms

    1. 0 01111111 00110011001100110011010
    2. 0 10001111 01011111100100000000000
    3. 0 01011101 01011111110101111111111

     
    1. $1.2$
    2. $90000.0$
    3. $0.00000000008$