Question

Convert the following unsigned numbers to the requested form:

1. 01100001 binary to: hex, and also decimal

Hex:

Decimal:

b) 136 decimal to: hex, and also binary

Hex:

Binary:

Answer 1

a)
Hex:        0x61
Decimal:    97

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
Converting 01100001 to hexadecimal
0110 => 6
0001 => 1
So, in hexadecimal 01100001 is 0x61

Converting 01100001  to decimal
01100001
=> 0x2^7+1x2^6+1x2^5+0x2^4+0x2^3+0x2^2+0x2^1+1x2^0
=> 0x128+1x64+1x32+0x16+0x8+0x4+0x2+1x1
=> 0+64+32+0+0+0+0+1
=> 97

b)
Hex:    0x88
Binary: 10001000

Divide 136 successively by 16 until the quotient is 0
136/16 = 8, remainder is 8
8/16 = 0, remainder is 8
Read remainders from the bottom to top as 88

Divide 136 successively by 2 until the quotient is 0
   > 136/2 = 68, remainder is 0
   > 68/2 = 34, remainder is 0
   > 34/2 = 17, remainder is 0
   > 17/2 = 8, remainder is 1
   > 8/2 = 4, remainder is 0
   > 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 10001000
So, 136 of decimal is 10001000 in binary