Answer
a) (100000001110)2
b) (0001001101011011)2
c) (1010101110111010)2.
d) (1101111011111010101111001101)2.
Work Step by Step
To convert the hexadecimal expansion of each integer to a binary expansion, we can replace each hexadecimal digit with its equivalent binary representation.
a) (80E)16:
8 = 1000
0 = 0000
E = 1110
The binary expansion of (80E)16 is (100000001110)2.
b) (135AB)16:
1 = 0001
3 = 0011
5 = 0101
A = 1010
B = 1011
The binary expansion of (135AB)16 is (0001001101011011)2.
c) (ABBA)16:
A = 1010
B = 1011
The binary expansion of (ABBA)16 is (1010101110111010)2.
d) (DEFACED)16:
D = 1101
E = 1110
F = 1111
A = 1010
C = 1100
E = 1110
D = 1101
The binary expansion of (DEFACED)16 is (1101111011111010101111001101)2.
