Answer:

Step 1: Write down the binary number:

110011

Step 2: Multiply each digit of the binary number by the corresponding power of two:

1x25 + 1x24 + 0x23 + 0x22 + 1x21 + 1x20

Step 3: Solve the powers:

1x32 + 1x16 + 0x8 + 0x4 + 1x2 + 1x1 = 32 + 16 + 0 + 0 + 2 + 1

Step 4: Add up the numbers written above:

32 + 16 + 0 + 0 + 2 + 1 = 51.

So, 51 is the decimal equivalent of the binary number 110011.

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Answer:

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Explanation:

1)

Step 1: Write down the binary number:110011

Step 2: Multiply each digit of the binary number by the corresponding power of two:

1x25 + 1x24 + 0x23 + 0x22 + 1x21 + 1x20

Step 3: Solve the powers:

1x32 + 1x16 + 0x8 + 0x4 + 1x2 + 1x1 = 32 + 16 + 0 + 0 + 2 + 1

Step 4: Add up the numbers written above:

32 + 16 + 0 + 0 + 2 + 1 = 51.

So, 51 is the decimal equivalent of the binary number 110011.

2)

Step 1: Write down the binary number:1010110

Step 2: Multiply each digit of the binary number by the corresponding power of two:

1x26 + 0x25 + 1x24 + 0x23 + 1x22 + 1x21 + 0x20

Step 3: Solve the powers:

1x64 + 0x32 + 1x16 + 0x8 + 1x4 + 1x2 + 0x1 = 64 + 0 + 16 + 0 + 4 + 2 + 0

Step 4: Add up the numbers written above:

64 + 0 + 16 + 0 + 4 + 2 + 0 = 86. This is the decimal equivalent of the binary number 1010110.

3)

Step 1: Divide (72)₁₀ successively by 2 until the quotient is 0:

72/2 = 36, remainder is 0

36/2 = 18, remainder is 0

18/2 = 9, remainder is 0

9/2 = 4, remainder is 1

4/2 = 2, remainder is 0

2/2 = 1, remainder is 0

1/2 = 0, remainder is 1

Step 2: Read from the bottom (MSB) to top (LSB) as 1001000. This is the binary equivalent of decimal number 72

4)

Step 1: Divide (165)₁₀ successively by 2 until the quotient is 0:

165/2 = 82, remainder is 1

82/2 = 41, remainder is 0

41/2 = 20, remainder is 1

20/2 = 10, remainder is 0

10/2 = 5, remainder is 0

5/2 = 2, remainder is 1

2/2 = 1, remainder is 0

1/2 = 0, remainder is 1

Step 2: Read from the bottom (MSB) to top (LSB) as 10100101. This is the binary equivalent of decimal number 165