Question

Convert to binary a) Convert 28910 to binary using subtraction or division remainder. Show your work....

Convert to binary

a) Convert 28910 to binary using subtraction or division remainder. Show your work.

b) Convert BF16 to binary. Show your work

Homework Answers

Answer #1

a)
Divide 289 successively by 2 until the quotient is 0
   > 289/2 = 144, remainder is 1
   > 144/2 = 72, remainder is 0
   > 72/2 = 36, remainder is 0
   > 36/2 = 18, remainder is 0
   > 18/2 = 9, remainder is 0
   > 9/2 = 4, remainder is 1
   > 4/2 = 2, remainder is 0
   > 2/2 = 1, remainder is 0
   > 1/2 = 0, remainder is 1
Read remainders from the bottom to top as 100100001
So, 289 of decimal is 100100001 in binary
Answer: 100100001

b)
Hexadecimal     Binary
    0           0000
    1           0001
    2           0010
    3           0011
    4           0100
    5           0101
    6           0110
    7           0111
    8           1000
    9           1001
    A           1010
    B           1011
    C           1100
    D           1101
    E           1110
    F           1111
Use this table to convert from hexadecimal to binary
Converting BF to binary
B => 1011
F => 1111
So, in binary BF is 10111111
Answer: 10111111


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