Question

In: Computer Science

Use the place value method, the division method, or the equivalency chart to convert the following....

Use the place value method, the division method, or the equivalency chart to convert the following. You must show all steps.

Convert the following hexadecimal numbers to the binary number system. a. C b. 33 c. 10 d. BA e. 9DF

Solutions

Expert Solution

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 binary to hexadecimal

a) C
Converting C to binary
C => 1100
So, in binary C is 1100
Answer: 1100

b) 33
Converting 33 to binary
3 => 0011
3 => 0011
So, in binary 33 is 00110011
Answer: 00110011

c) 10
Converting 10 to binary
1 => 0001
0 => 0000
So, in binary 10 is 00010000
Answer: 00010000

d) BA
Converting BA to binary
B => 1011
A => 1010
So, in binary BA is 10111010
Answer: 10111010

e) 9DF
Converting 9DF to binary
9 => 1001
D => 1101
F => 1111
So, in binary 9DF is 100111011111
Answer: 100111011111



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