Question

Convert from hexadecimal to binary to decimal (PLEASE SHOW WORK)

1. B2

- binary:

- decimal:

2. 37

- binary:

- decimal:

3. 0A

-binary:

- decimal:

4. 11

- binary:

- decimal:

Answer 1

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
1)  B2
B => 1011
2 => 0010
in binary it is 1011 0010
converting this to decimal here
1011 0010
=>  1x27 + 0x26 + 1x25 + 1x24 + 0x23 + 0x22 + 1x21 + 0x20
=>  1x128 + 0x64 + 1x32 + 1x16 + 0x8 + 0x4 + 1x2 + 0x1
=>  128 + 0 + 32 + 16 + 0 + 0 + 2 + 0
=>  178
in decimal it is 178

2)  37
3 => 0011
7 => 0111
in binary it is 0011 0111
converting this to decimal here
0011 0111
=>  1x27 + 0x26 + 1x25 + 1x24 + 0x23 + 0x22 + 1x21 + 0x20
=>  0x128 + 0x64 + 1x32 + 1x16 + 0x8 + 1x4 + 1x2 + 1x1
=>  0 + 0 + 32 + 16 + 0 + 4 + 2 + 1
=>  55
in decimal it is 55

3)  0A
0 => 0000
A => 1010
in binary it is 0000 1010
converting this to decimal here
0000 1010
=>  1x27 + 0x26 + 1x25 + 1x24 + 0x23 + 0x22 + 1x21 + 0x20
=>  0x128 + 0x64 + 0x32 + 0x16 + 1x8 + 0x4 + 1x2 + 0x1
=>  0 + 0 + 0 + 0 + 8 + 0 + 2 + 0
=>  10
in decimal it is 10

4)  11
1 => 0001
1 => 0001
in binary it is 0001 0001
converting this to decimal here
0001 0001
=>  1x27 + 0x26 + 1x25 + 1x24 + 0x23 + 0x22 + 1x21 + 0x20
=>  0x128 + 0x64 + 0x32 + 1x16 + 0x8 + 0x4 + 0x2 + 1x1
=>  0 + 0 + 0 + 16 + 0 + 0 + 0 + 1
=>  17
in decimal it is 17