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 binary numbers to the hexadecimal number system. a. 0000 0001 b. 0111 0010 c. 1010 0111 d. 1100 0100 e. 1111 1111

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) 0000 0001
Converting 00000001 to hexadecimal
0000 => 0
0001 => 1
So, in hexadecimal 00000001 is 0x01
Answer: 0x01

b) 0111 0010
Converting 01110010 to hexadecimal
0111 => 7
0010 => 2
So, in hexadecimal 01110010 is 0x72
Answer: 0x72

c) 1010 0111
Converting 10100111 to hexadecimal
1010 => A
0111 => 7
So, in hexadecimal 10100111 is 0xA7
Answer: 0xA7

d) 1100 0100
Converting 11000100 to hexadecimal
1100 => C
0100 => 4
So, in hexadecimal 11000100 is 0xC4
Answer: 0xC4

e) 1111 1111
Converting 11111111 to hexadecimal
1111 => F
1111 => F
So, in hexadecimal 11111111 is 0xFF
Answer: 0xFF



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