decimal octal and binary Quiz Practice Quiz…

Q: What is the decimal equivalent of the binary number 1011?

11 — 1*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 8 + 0 + 2 + 1 = 11

Q: What is the binary equivalent of the decimal number 8?

1000 — 8 = 1*2^3 + 0*2^2 + 0*2^1 + 0*2^0, so 1000

Q: What is the octal equivalent of the decimal number 10?

12 — 10 = 1*8^1 + 2*8^0, so 12

Q: What is the decimal equivalent of the octal number 15?

13 — 1*8^1 + 5*8^0 = 8 + 5 = 13

Q: What is the binary equivalent of the octal number 23?

010011 — Convert each octal digit to 3-bit binary: 2 -> 010, 3 -> 011. Concatenate: 010011

Q: What is the octal equivalent of the binary number 11010?

32 — Group binary digits into groups of three from right: 11 010 -> 32

Q: How many bits are required to represent an octal digit?

3 — Octal uses base 8, which is 2^3.

Q: Which of the following is a valid octal digit?

7 — Octal digits range from 0 to 7.

Q: Convert the decimal number 25 to binary.

11001 — 25 = 1*16 + 1*8 + 0*4 + 0*2 + 1*1 -> 11001

Q: What is the binary equivalent of the hexadecimal digit 'A'?

1010 — Hexadecimal 'A' represents the decimal value 10, which in binary is 1010.

Question 1 of 15

What is the decimal equivalent of the binary number 1011?

1*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 8 + 0 + 2 + 1 = 11

Question 2 of 15

What is the binary equivalent of the decimal number 8?

8 = 1*2^3 + 0*2^2 + 0*2^1 + 0*2^0, so 1000

Question 3 of 15

What is the octal equivalent of the decimal number 10?

10 = 1*8^1 + 2*8^0, so 12

Question 4 of 15

What is the decimal equivalent of the octal number 15?

1*8^1 + 5*8^0 = 8 + 5 = 13

Question 5 of 15

What is the binary equivalent of the octal number 23?

Convert each octal digit to 3-bit binary: 2 -> 010, 3 -> 011. Concatenate: 010011

Question 6 of 15

What is the octal equivalent of the binary number 11010?

Group binary digits into groups of three from right: 11 010 -> 32

Question 7 of 15

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

2^4 - 1 = 16-1 = 15

Question 8 of 15

How many bits are required to represent an octal digit?

Octal uses base 8, which is 2^3.

Question 9 of 15

Which of the following is a valid octal digit?

Octal digits range from 0 to 7.

Question 10 of 15

Convert the decimal number 25 to binary.

25 = 1*16 + 1*8 + 0*4 + 0*2 + 1*1 -> 11001

Question 11 of 15

What is the binary equivalent of the hexadecimal digit 'A'?

Hexadecimal 'A' represents the decimal value 10, which in binary is 1010.

Question 12 of 15

What is the decimal value of the binary number 1111?

1*8 + 1*4 + 1*2 + 1*1 = 15

Question 13 of 15

What is the octal equivalent of the binary number 110?

Group binary digits into groups of three from right: 110 -> 6

Question 14 of 15

Convert the octal number 37 to binary

Convert each octal digit to 3-bit binary: 3 -> 011, 7 -> 111. Concatenate: 011111

Question 15 of 15

The largest number representable by a single octal digit is: