Converting Binary Numbers to Decimal Mastery

This video tutorial explains how to convert binary numbers into decimal numbers. It covers several examples, including whole and fractional binary numbers, and provides step-by-step instructions for each conversion. The video also offers practice problems and highlights key exponent values to aid in quick calculations.

What is the decimal equivalent of the binary number 1010?

• 12

• 10

• 8

• 14

In the binary number 10010, which powers of two contribute to its decimal value?

• 2^4 and 2^1

• 2^3 and 2^2

• 2^2 and 2^0

• 2^1 and 2^0

What is the value of 2 to the power of 5?

• 64

• 16

• 128

• 32

How do you convert the binary number 11011 to decimal?

• Add 2^4, 2^2, and 2^1

• Add 2^4, 2^3, 2^1, and 2^0

• Add 2^3, 2^2, and 2^0

• Add 2^4, 2^3, and 2^0

What is the decimal equivalent of the binary number 11011?

• 25

• 26

• 28

• 27

What is the decimal value of the binary number 01010110?

• 90

• 88

• 86

• 84

How do you convert a fractional binary number to decimal?

• Use only positive exponents

• Use both positive and negative exponents

• Convert each digit separately

• Ignore the fractional part

What is the decimal equivalent of the fractional binary number 1100.101?

• 12.625

• 13.125

• 15.625

• 14.375

What is the value of 2 to the negative 3?

• 1/8

• 1/4

• 1/16

• 1/32

What is the decimal equivalent of the binary number 10011.011?

• 21.625

• 20.125

• 22.875

• 19.375