Binary numbers: counting in base two

9.Which of the following are valid binary numbers? (Select all that apply)

10.The binary number 1010 is equal to the decimal number 10.

11.What is the decimal value of the binary number 10101?

12.Which of the following binary numbers are equivalent to decimal numbers greater than 10? (Select all that apply)

13.Arrange the following decimal numbers in increasing order of their 4-bit binary representations when read as binary strings.

14.In the ancient Egyptian Horus-Eye fraction system, a hekat was expressed as a sum of binary fractions. Which of the following fractions is NOT part of the Horus-Eye system?

15.In the I Ching, eight trigrams are analogous to which binary numeral system?

16.In Pingala's ancient Indian binary system for describing meters, the first pattern '0000' corresponds to the value one. If the system uses four short syllables (laghu) and long syllables (guru), how many distinct patterns are possible?

17.The binary number system uses only the digits 0 and 1.

18.Which of the following is the binary representation of the decimal number 13?

19.Which of the following binary numbers are less than the decimal number 10? (Select all that apply)

20.What is the largest decimal number that can be represented with a single byte?

21.The binary number 1010 is equivalent to the decimal number 10.

22.Which of the following binary numbers are equivalent to decimal numbers greater than 20? (Select all that apply)

23.A computer stores a number using 8 bits. If the number is 11111111, what is its decimal value?

24.A binary digit is also called a 'bit'.

25.The binary number system uses the digits 0, 1, and 2.

26.What is the name for a group of 4 bits?

27.In binary, the number 10 (one-zero) represents the decimal number ten.

28.Which of the following is the binary representation of the decimal number 2?

29.The binary number 1011 is greater than the decimal number 10.

30.Which of the following binary numbers is equivalent to the decimal number 7?

31.Put the following binary numbers in order of increasing decimal value (smallest first).

32.Which of the following binary numbers are equivalent to decimal numbers between 5 and 10 inclusive? (Select all that apply)

33.The binary number 1010 represents the decimal number ten.

34.What is the largest decimal number that can be represented with 4 bits?

35.How many different values can be represented with a single byte?

36.In ancient Egyptian multiplication, the Rhind Mathematical Papyrus uses a method related to binary numbers. To multiply 13 by 11 using this method, which of the following steps is correct?

37.In Pingala's ancient Indian binary system, the pattern '0000' represents the number zero.

38.Which of the following statements about binary number systems in different cultures are TRUE? (Select all that apply)

39.Match each cultural binary system to its number of distinct symbols or signs.

40.Arrange the following binary numbers from smallest to largest by their decimal values: 1001, 1100, 1011, 1110.

41.What is the name for a single binary digit?

42.Complete the sentence.

43.Convert the binary number 1010 to decimal.

44.What is the decimal value of the binary number 111?

45.Complete the sequence.

46.How many different values can be represented with 4 bits?

47.What is the decimal value of the binary number 1101?

48.How many different values can be represented with 3 bits?

49.Fill in the blank: In binary, the place values are powers of ___. (Write the number)

50.Fill in the blanks with the correct binary digits to represent the decimal number 5 in 4-bit binary.

51.Fill in the blank: In the I Ching, the set of 64 hexagrams is analogous to ___ -bit binary numerals.

52.The Ifá divination system has 256 possible signs (Odú). How many bits are needed to represent all these signs?

53.Explain why computers use binary rather than decimal.

54.Explain how to convert the binary number 1101 to decimal using place values.

55.Convert the binary number 1010 to decimal.

56.How many different values can be represented with 4 bits?

57.How many different values can be represented with 3 bits?

58.The Ifá divination system has 256 possible signs (Odú). How many bits are needed to represent all these signs?