CISS 120 - Module 5: Number Systems

Which is a valid hexadecimal number? - f - h - g - j

f Topic 5.2.0 - 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 .

Converting Between Binary and Decimal Numbering Systems decimal - base 10 (0-9)

the most common numbering system

radix

the number base decimal notation is based on 10, therefore the radix is 10

hextet

unofficial term used to refer to a segment of 16 bits or four hexadecimal values

Which is the hexadecimal equivalent of 254? - EA - ED - FA - FE

FE

decimal

a numbering system that consists of 10 digits consisting of the digits 0-9

hosts, servers, and network devices use ______

binary addressing; specifically, binary IPv4 addresses

Which is the decimal equivalent of A9? - 168 - 169 - 170 - 171

169

What is the decimal equivalent of 0xC9? - 185 - 200 - 199 - 201

201 Topic 5.2.0 - 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.

What is the dotted decimal representation of the IPv4 address 11001011.00000000.01110001.11010011? - 198.51.100.201 - 192.0.2.199 - 209.165.201.223 - 203.0.113.211

203.0.113.211 Topic 5.1.0 - Each section (octet) contains eight binary digits. Each digit represents a specific value (128, 64, 32, 16, 8, 4, 2, and 1). Everywhere there is a 1, the specific value is relevant. Add all relevant values in a particular octet to obtain the decimal value. For example binary 11001011 equals 203 in decimal.

Given the binary address of 11101100 00010001 00001100 00001010, which address does this represent in dotted decimal format? - 236.17.12.6 - 234.16.12.10 - 234.17.10.9 - 236.17.12.10

236.17.12.10 Topic 5.1.0 - The binary number 11101100 00010001 00001100 00001010 translates to 236.17.12.10.

binary positional notation

The following bullets describe each row of the table. Row 1, Radix is the number base. Binary notation is based on 2, therefore the radix is 2. Row 2, Position in number considers the position of the binary number starting with, from right to left, 0 (1st position), 1 (2nd position), 2 (3rd position), 3 (4th position). These numbers also represent the exponential value use to calculate the positional value in the 4th row. Row 3 calculates the positional value by taking the radix and raising it by the exponential value of its position in row 2. Note: n0 is = 1. Row 4 positional value represents units of ones, twos, fours, eights, etc.

Which two statements are correct about IPv4 and IPv6 addresses? (Choose two.) - IPv6 addresses are 32 bits in length. - IPv4 addresses are represented by hexadecimal numbers. - IPv6 addresses are represented by hexadecimal numbers. - IPv4 addresses are 32 bits in length. - IPv6 addresses are 64 bits in length. - IPv4 addresses are 128 bits in length.

- IPv6 addresses are represented by hexadecimal numbers. - IPv4 addresses are 32 bits in length. Topic 5.2.0 - IPv4 addresses are represented as dotted decimal numbers and are 32 bits in length. IPv6 addresses are represented by hexadecimal numbers and are 128 bits in length.

168 converted into hex

1. 168 in binary is 10101000. 2. 10101000 in two groups of four binary digits is 1010 and 1000. 3. 1010 is hex A and 1000 is hex 8.

converting hexadecimal numbers to decimal values

1. Convert the hexadecimal number to 4-bit binary strings. 2. Create 8-bit binary grouping starting from the rightmost position. 3. Convert each 8-bit binary grouping into their equivalent decimal digit.

What is the decimal equivalent of the hex number 0x3F? - 77 - 93 - 63 - 87

63 Topic 5.2.0 - Hex 0x3F is 63 in decimal.(3*16)+(15*1) = 63

positional notation

a digit represents different values depending on the "position" the digit occupies in the sequence of numbers

binary

a numbering system that consists of the digits 0 and 1 called bits

binary IPv4 addresses

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. commonly expressed in dotted decimal notation.

Which IPv4 address format was created for ease of use by people and is expressed as 201.192.1.14? - binary - ASCII - dotted decimal - hexadecimal

dotted decimal Topic 5.1.0 - For ease of use by people, binary patterns are represented as dotted decimal. Computer systems were created to understand binary addressing.

converting D2 to decimal

1. D2 in 4-bit binary strings is 1101 and 0010. 2. 1101 and 0010 is 11010010 in an 8-bit grouping. 3. 11010010 in binary is equivalent to 210 in decimal.

What is the dotted decimal representation of the IPv4 address which is represented as the binary string 00001010.01100100.00010101.00000001? - 100.10.11.1 - 10.10.20.1 - 10.100.21.1 - 100.21.10.1

10.100.21.1 Topic 5.1.0 - Converting the binary string of 00001010.01100100.00010101.00000001 to dotted decimal gives 10.100.21.1

What is the binary representation for the decimal number 173? - 10100101 - 10101101 - 10100111 - 10110101

10101101 Topic 5.1.0 - decimal 173 = 128 + 0 + 32 + 0 + 8 + 4 + 0 + 1

What is the binary representation of 0xCA? - 10111010 - 11010101 - 11001010 - 11011010

11001010 Topic 5.2.0 - 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.

What is the binary equivalent of the decimal number 232? - 11110010 - 10011000 - 11101000 - 11000110

11101000 Topic 5.1.0 - 232 in binary is 11101000. 128+64+32+8 = 232

Which of the following is the decimal equivalent of 7D? - 124 - 125 - 126 - 127

125

How many binary bits exist within an IPv6 address? - 128 - 256 - 48 - 32 - 64

128 Topic 5.2.0 - IPv4 addressing space is exhausted by the rapid growth of the Internet and the devices connected to the Internet. IPv6 expands the IP addressing space by increasing the address length from 32 bits to 128 bits.

How many bits are in an IPv4 address? - 64 - 128 - 32 - 256

32 Topic 5.1.0 - An IPv4 address is comprised of 4 octets of binary digits, each containing 8 bits, resulting in a 32-bit address.

Which is the hexadecimal equivalent of 202? - B10 - BA - C10 - CA

CA

hexadecimal number system

a base 16 number system. uses the digits 0 to 9 and the letters A to F. powers of 16. used in networking to represent IP version 6 addresses and Ethernet MAC addresses

decimal to hexadecimal conversion

1. convert the decimal number to 8-bit binary strings 2. divide the binary strings in groups of four starting from the rightmost position 3. convert each four binary numbers into their equivalent hexadecimal digit

IPv6 addresses

128 bits in length and every 4 bits is represented by a single hexadecimal digit; for a total of 32 hexadecimal values. are not case-sensitive and can be written in either lowercase or uppercase

What is the decimal equivalent of the binary number 10010101? - 149 - 192 - 157 - 168

149 Topic 5.1.0 - Binary 10010101 maps to 149 in decimal. 128+16+4+1 = 149

decimal positional notation system

The following bullets describe each row of the table. Row 1, Radix is the number base. Decimal notation is based on 10, therefore the radix is 10. Row 2, Position in number considers the position of the decimal number starting with, from right to left, 0 (1st position), 1 (2nd position), 2 (3rd position), 3 (4th position). These numbers also represent the exponential value use to calculate the positional value in the 4th row. Row 3 calculates the positional value by taking the radix and raising it by the exponential value of its position in row 2. Note: n0 is = 1. Row 4 positional value represents units of thousands, hundreds, tens, and ones.