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Binary Math Practice Problems and Answers

1. Complete the conversion of the binary octet to its corresponding decimal number.

128	64	32	16	8	4	2	1	Decimal Number
0	1	1	1	0	0	1	0
1	1	0	0	0	0	0	0
1	1	1	1	1	1	1	0
1	1	1	1	1	1	1	1
0	1	0	0	0	0	1	0
0	0	0	1	0	0	0	1
1	1	1	0	0	1	0	1
1	0	0	0	0	0	0	0
1	1	1	0	0	0	0	0
1	1	1	1	0	0	0	0

2. Complete the conversion of the decimal number to its corresponding binary octet.

128	64	32	16	8	4	2	1	Decimal Number
								248
								123
								7
								22
								169
								252
								224
								99
								224
								255

IP Addressing Practice Problems

3. Identify the address class (e.g., A, B or C) of the following addresses.

Review: Address classes A, B, and C

Addresses	Class A, B, or C?
210.23.67.102
66.23.148.0
158.23.251.33
144.23.117.254
192.254.23.123
144.207.78.1
63.125.23.211
192.25.128.36
128.12.254.98
134.223.156.89
127.0.0.1
224.23.108.23
223.78.27.144
77.123.28.167
191.249.222.234
19.23.12.255
188.67.76.235
134.255.123.22
143.52.213.212
207.22.45.219
117.117.117.117
193.23.255.77
199.23.255.7
145.2.229.252
238.23.177.8

4. Highlight the corresponding ID in the provided addresses.

Review: Address Classes A, B, and C

Instructions	Address
Highlight the Network ID	1.102.45.177
Highlight the Host ID	196.22.177.13
Highlight the Network ID	133.156.55.102
Highlight the Host ID	221.252.77.10
Highlight the Network ID	123.12.45.77
Highlight the Host ID	126.252.77.103
Highlight the Network ID	13.1.255.102
Highlight the Host ID	171.242.177.109
Highlight the Network ID	193.156.155.192
Highlight the Host ID	21.52.177.188
Highlight the Network ID	77.77.45.77
Highlight the Host ID	191.252.77.13
Highlight the Network ID	191.15.155.2
Highlight the Host ID	221.252.117.254
Highlight the Network ID	203.10.233.1
Highlight the Host ID	191.2.227.19
Highlight the Network ID	23.156.1.92
Highlight the Host ID	121.2.199.88
Highlight the Network ID	202.27.189.177
Highlight the Host ID	177.222.177.28
Highlight the Network ID	198.215.67.233
Highlight the Host ID	128.252.17.24
Highlight the Network ID	212.199.19.29
Highlight the Host ID	159.255.17.218
Highlight the Network ID	155.25.169.133
Highlight the Host ID	191.255.217.227

5. Many of these addresses cannot be used as a client’s address because they are a Network Address, a Broadcast Address, a Class D or E address, or are invalid.

Identify the type of address under the column “Type”

Decide whether or not it is a valid address for a client machine under the column “Valid / Not Valid”

Example:

*Address*	*Type*	*Valid / Not Valid*
245.12.33.102	Class E	Not Valid
123.123.123.123	Class A	Valid

Review of Addressing Rules:

Valid Binary Converted Decimal Numbers
Class A, B and C Address Ranges
Complete Network ID or Host ID cannot be all 0’s or 1’s (in binary).

Address	Type	Valid / Not Valid
199.23.107.255
199.23.107.0
156.266.12.103
99.0.0.12
153.0.0.0
153.0.0.255
191.23.255.255
33.255.255.0
12.0.0.0
12.255.255.255
12.0.0.255
127.0.0.1
127.23.109.122
0.23.12.122
192.12.255.102
191.105.0.0
203.123.45.255
204.0.23.198
224.56.204.112
223.255.255.254
126.0.0.1
177.45.123.255
186.255.0.255

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