# 3.3.3 Number Systems Quiz Answers

### Networking Devices and Initial Configuration Module 3.3.3 Number Systems Quiz Answers

1. What is the binary representation for the decimal number 173?

• 10100111
• 10100101
• 10101101
• 10110101

Explanation: decimal 173 = 128 + 0 + 32 + 0 + 8 + 4 + 0 + 1

2. How many bits make up an octet in an IPv4 address?

• 4
• 8
• 16
• 32

Explanation: An IPv4 address consists of a string of 32 bits divided into four sections called octets. Each octet contains 8 bits (or 1 byte) separated with a dot.

3. What is the decimal equivalent of 0xC9?

• 185
• 200
• 201
• 199

Explanation: 0x refers to the item as hexadecimal. Convert each character into its corresponding nibble. Then combine the nibbles together and calculate the resulting decimal equivalent. C has a value of 12. 12 x 16 = 192. 192 + 9 = 201.

4. What is the binary representation of 0xCA?

• 10111010
• 11010101
• 11001010
• 11011010

Explanation: When converted, CA in hex is equivalent to 11011010 in binary. One way to do the conversion is one nibble at a time, C = 1100 and A = 1010. Combine the two nibbles gives 11001010.

5. What is the range of hexadecimal values that can be used in a hextet?

• 0000 to 1111
• 0000 to ffff
• 1111 to aaaa
• 0000 to 9999

Explanation: A hextet is a term used to refer to a segment of 16 bits or four hexadecimal values. A single hexadecimal number is made up with 4 bits, thus the range of a hexadecimal number is from 0 to f. A hextet contains 4 hexadecimal numbers and ranges from 0000 to ffff.

6. What is the hexadecimal equivalent for the binary number 10011101?

• 85
• 9D
• A1
• D9

Explanation: Each 4 binary digits equates to 1 hexadecimal digit.
1001 = 9
1101 = 13 (decimal) = D (hexadecimal)

7. How many bits are in an IPv4 address?

• 32
• 64
• 128
• 256

Explanation: An IPv4 address is comprised of 4 octets of binary digits, each containing 8 bits, resulting in a 32-bit address.

8. A network engineer wants to represent confidential data in binary format. What are the two possible values that the engineer can use? (Choose two.)

• 0
• 1
• 2
• A
• F

Explanation: Binary is a numbering system that consists of the digits 0 and 1 called bits.

9. What is the hexadecimal equivalent for the decimal number 139?

• 8B
• 92
• A1
• D7

Explanation: Decimal 139 in binary is 10001011. 128+8+2+1 = 139.
Each 4 binary digits equates to 1 hexadecimal digit.
1000 = 8
1011 = 11 (decimal) = B (hexadecimal)

10. Which is a valid hexadecimal number?

• f
• g
• h
• j

Explanation: The hexadecimal numbers are 0,1,2,3,4,5,6,7,8,9,a,b,c,d,e,f.. The hexadecimal number 0 represents 0 in decimal and is represented as 0000 in binary. The hexadecimal number f represents 15 in decimal .

11. What is the binary equivalent of the decimal number 232?

• 11101000
• 11000110
• 10011000
• 11110010

Explanation: 232 in binary is 11101000. 128+64+32+8 = 232

12. Given the binary address of 11101100 00010001 00001100 00001010, which address does this represent in dotted decimal format?

• 234.17.10.9
• 234.16.12.10
• 236.17.12.6
• 236.17.12.10

Explanation: The binary number 11101100 00010001 00001100 00001010 translates to 236.17.12.10.

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