A) 77
B) 88
C) 99
D) 30
Step 1: Write down the binary number:
1100011
Step 2: Multiply each digit of the binary number by the corresponding power of two:
1×26 + 1×25 + 0x24 + 0x23 + 0x22 + 1×21 + 1×20
Step 3: Solve the powers:
1×64 + 1×32 + 0x16 + 0x8 + 0x4 + 1×2 + 1×1 = 64 + 32 + 0 + 0 + 0 + 2 + 1
Step 4: Add up the numbers written above:
64 + 32 + 0 + 0 + 0 + 2 + 1 = 99.
So, 99 is the decimal equivalent of the binary number 1100011.