Convert the following binary numbers to a decimal number. Show all steps
a. (0101)2
b. (1001001)2
c. (11111100)2
d. (01011100)2
e. (11100100)2
f. (00000101)2
g. (11111100)2
h. (01001001)2
i. Take your own, at least 4 different binary number and convert it to
decimal.�
a. (0101)2 = 0*2^3 + 1*2^2 + 0*2^1 + 1*2^0 = 0 + 4 + 0 + 1 = 5
b. (1001001)2 = 1*2^6 + 0*2^5 + 0*2^4 + 1*2^3 + 0*2^2 + 0*2^1 + 1*2^0 = 64 + 0 + 0 + 8 + 0 + 0 + 1 = 73
c. (11111100)2 = 1*2^7 + 1*2^6 + 1*2^5 + 1*2^4 + 1*2^3 + 1*2^2 + 0*2^1 + 0*2^0 = 128 + 64 + 32 + 16 + 8 + 4 + 0 + 0 = 252
d. (01011100)2 = 0*2^7 + 1*2^6 + 0*2^5 + 1*2^4 + 1*2^3 + 1*2^2 + 0*2^1 + 0*2^0 = 0 + 64 + 0 + 16 + 8 + 4 + 0 + 0 = 92
e. (11100100)2 = 1*2^7 + 1*2^6 + 1*2^5 + 0*2^4 + 0*2^3 + 1*2^2 + 0*2^1 + 0*2^0 = 128 + 64 + 32 + 0 + 0 + 4 + 0 + 0 = 228
f. (00000101)2 = 0*2^7 + 0*2^6 + 0*2^5 + 0*2^4 + 0*2^3 + 1*2^2 + 0*2^1 + 1*2^0 = 0 + 0 + 0 + 0 + 0 + 4 + 0 + 1 = 5
g. (11111100)2 = 1*2^7 + 1*2^6 + 1*2^5 + 1*2^4 + 1*2^3 + 1*2^2 + 0*2^1 + 0*2^0 = 128 + 64 + 32 + 16 + 8 + 4 + 0 + 0 = 252
h. (01001001)2 = 0*2^7 + 1*2^6 + 0*2^5 + 0*2^4 + 1*2^3 + 0*2^2 + 0*2^1 + 1*2^0 = 0 + 64 + 0 + 0 + 8 + 0 + 0 + 1 = 73
i. (1100)2 = 1*2^3 + 1*2^2 + 0*2^1 + 0*2^0 = 8 + 4 + 0 + 0 = 12
(1011)2 = 1*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 8 + 0 + 2 + 1 = 11
(1110)2 = 1*2^3 + 1*2^2 + 1*2^1 + 0*2^0 = 8 + 4 + 2 + 0 = 14
(0011)2 = 0*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 0 + 0 + 2 + 1 = 3