Converting Binary to Decimal

This video tutorial explains how to convert binary numbers into decimal numbers through a series of examples. It covers the basic concept of binary numbers, the significance of powers of two, and provides step-by-step instructions for converting both whole and fractional binary numbers. The tutorial includes practice problems to reinforce learning and highlights key values of powers of two to aid in quick calculations.

What is the decimal equivalent of the binary number 1010?

• 10

• 12

• 8

• 14

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

• 2^3 and 2^2

• 2^1 and 2^0

• 2^2 and 2^0

• 2^4 and 2^1

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

• 128

• 64

• 32

• 16

How do you convert the binary number 11011 to decimal?

• Add 2^3, 2^1, and 2^0

• Add 2^4, 2^2, and 2^1

• Add 2^3, 2^2, and 2^0

• Add 2^4, 2^3, 2^1, and 2^0

What is the decimal equivalent of the binary number 11011?

• 27

• 25

• 28

• 26

What is the decimal equivalent of the binary number 01010110?

• 90

• 88

• 86

• 84

How do you convert a fractional binary number to decimal?

• Ignore fractional parts

• Convert to octal first

• Use negative exponents for fractional parts

• Use only positive exponents

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

• 13.125

• 15.625

• 12.625

• 14.375

What is the value of 2 to the negative 3?

• 1/4

• 1/8

• 1/32

• 1/16

What is the decimal equivalent of the binary number 10011.011?

• 21.625

• 19.375

• 22.875

• 20.125