How do we go about converting a decimal number to binary? We repeatedly divide the decimal number by the base, i.e. by 2 to get the binary equivalent, an take note of the remainder. We stop dividing when we reach 0. For example, we are given the decimal number 113. 113 divided by 2 is 56 remainder 1. We take note of the remainder. Then we divide 56 by 2, which is 2 remainder 0, and again take note of the remainder. The process is show in the table below:

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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How do we go about converting a decimal number to binary? We repeatedly
divide the decimal number by the base, i.e. by 2 to get the binary equivalent, and
take note of the remainder. We stop dividing when we reach 0.
For example, we are given the decimal number 113. 113 divided by 2 is 56
remainder 1. We take note of the remainder. Then we divide 56 by 2, which is 28
remainder 0, and again take note of the remainder. The process is show in the
table below:
113256 r 1
56+2=28 r0
⠀
Repeatedly divide
by the base, i.e. 2,
until you reach 0
⠀
1+2=0r1
113
56
28
14
7
3
1
0
Remainder
1
0
0
0
1
1
1
ALSB
MSB
Then, we read the remainders from bottom to top, giving us 11100012.
Transcribed Image Text:How do we go about converting a decimal number to binary? We repeatedly divide the decimal number by the base, i.e. by 2 to get the binary equivalent, and take note of the remainder. We stop dividing when we reach 0. For example, we are given the decimal number 113. 113 divided by 2 is 56 remainder 1. We take note of the remainder. Then we divide 56 by 2, which is 28 remainder 0, and again take note of the remainder. The process is show in the table below: 113256 r 1 56+2=28 r0 ⠀ Repeatedly divide by the base, i.e. 2, until you reach 0 ⠀ 1+2=0r1 113 56 28 14 7 3 1 0 Remainder 1 0 0 0 1 1 1 ALSB MSB Then, we read the remainders from bottom to top, giving us 11100012.
Fill up the table below to obtain the binary equivalent for 2024.
2024 = 2 =
202410 =
Check
Quotient Remainder
Converting the answer in the previous question from binary to hexadecimal gives you
Make sure to remove any leading zeros before you input your answer. If you're having trouble here, review the material from Chapter 3.
16
Transcribed Image Text:Fill up the table below to obtain the binary equivalent for 2024. 2024 = 2 = 202410 = Check Quotient Remainder Converting the answer in the previous question from binary to hexadecimal gives you Make sure to remove any leading zeros before you input your answer. If you're having trouble here, review the material from Chapter 3. 16
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