Question

Part 2: Signed values: Convert each as indicated.

10. Hexadecimal to decimal (signed magnitude)

a. 88

b. EC

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
a. 88
88 in binary is 10001000
left most bit is 1. so, it's a negative value. convert rest of the bits to decimal.
0001000 => in decimal it is 8
Answer: -8

b. EC
EC in binary is 11101100
left most bit is 1. so, it's a negative value. convert rest of the bits to decimal.
1101100
=>  1x2^7 + 1x2^6 + 0x2^5 + 1x2^4 + 0x2^3 + 1x2^2 + 0x2^1 + 1x2^0
=>  1x128 + 1x64 + 0x32 + 1x16 + 0x8 + 1x4 + 0x2 + 1x1
=>  128 + 64 + 0 + 16 + 0 + 4 + 0 + 1
=>  213
Answer: -213