Question

1.The following number is in binary. Convert it to decimal. 0010 1010 2.Add the following two binary numbers together and express your results in binary. 1000 1010 + 0111 0000 3.Add the following two binary numbers together and express your results in decimal. 0010 1010 + 0111 1100 4.The following number is in hexadecimal. Convert it to binary. 0x42 5.The following number is in hexadecimal. Convert it to decimal. 0xFE 6.The following number is in decimal. Convert it to hexadecimal. 223

Answer 1

1)
=> 00101010
=> 0x2^7+0x2^6+1x2^5+0x2^4+1x2^3+0x2^2+1x2^1+0x2^0
=> 0x128+0x64+1x32+0x16+1x8+0x4+1x2+0x1
=> 0+0+32+0+8+0+2+0
=> 42
Answer: 42

2)
Adding 10001010 and 01110000 in binary
    10001010
    01110000
-------------
    11111010
-------------
Answer: 11111010

3)
Adding 00101010 and 01111100 in binary
    00101010
    01111100
-------------
    10100110
-------------
=> 10100110
=> 1x2^7+0x2^6+1x2^5+0x2^4+0x2^3+1x2^2+1x2^1+0x2^0
=> 1x128+0x64+1x32+0x16+0x8+1x4+1x2+0x1
=> 128+0+32+0+0+4+2+0
=> 166
Answer: 166

4)
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 42 to binary
4 => 0100
2 => 0010
So, in binary 42 is 01000010
Answer: 01000010

5)
FE
=>  15*16 + 14
=>  240 + 14
=>  254
Answer: 254

6)
223
Divide 223 successively by 16 until the quotient is 0
223/16 = 13, remainder is 15
13/16 = 0, remainder is 13
15 in hexadecimal is F
13 in hexadecimal is D
Read remainders from the bottom to top as DF
Answer: 0xDF