In the following problems, you are asked to convert from one number base to another. I am aware that there are calculators that will do this for you. Thus, you must show all your work to get credit for these problems.
1. (3 points) – Convert the 8-binary binary expansion ( 0110 1001 )2 to a decimal expansion.
2. (3 points) – Convert the following decimal expansion (142)10 to an 8-bit binary expansion.
3. (2 points) – Convert the following hexadecimal expansion (4AD)16 to an octal expansion.
4. (2 points) – Convert the following binary expansion ( 1001 1010 0110 0101 )2 to a hexadecimal expansion.
1.
Add together all products
1 + 0 + 0 + 8 + 0 + 32 + 64 = 105
Answer: 105
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2.
Write down the decimal number and continually divide by 2 to give a result and a remainder. The remainder is either a 1 or a 0.
142 / 2 result 71 remainder 0 71 / 2 result 35 remainder 1 35 / 2 result 17 remainder 1 17 / 2 result 8 remainder 1 8 / 2 result 4 remainder 0 4 / 2 result 2 remainder 0 2 / 2 result 1 remainder 0 1 / 2 result 0 remainder 1
Read the remainders from bottom to top.
( 142 )10 = ( 10001110 )2
Answer: 10001110
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3.
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
0000 | 0001 | 0010 | 0011 | 0100 | 0101 | 0110 | 0111 | 1000 | 1001 | 1010 | 1011 | 1100 | 1101 | 1110 | 1111 |
Given number is 4AD
4 | A | D |
0100 | 1010 | 1101 |
( 4AD )16 = ( 10010101101 )2
Convert each 3 bit of binary to octal using below table
Octal Binary
-------------------------
0 000
1 001
2 010
3 011
4 100
5 101
6 110
7 111
So, answer is 2255
Answer: 2255
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4.
convert each 4 bit to its hexa value
1001 | 1010 | 0110 | 0101 |
9 | A | 6 | 5 |
( 1001101001100101 )2 = ( 9A65 )16
Answer: 9A65
In the following problems, you are asked to convert from one number base to another. I...
In the following problems, you are asked to convert from one number base to another. I am aware that there are calculators that will do this for you. Thus, you must show all your work to get credit for these problems. 1. (3 points) - Convert the 8-binary binary expansion (0101 1001 ), to a decimal expansion. 2. (3 points) - Convert the following decimal expansion ( 124 ).o to an 8-bit binary expansion. 3. (2 points) - Convert the...
binary conversions. please help. thank you! Convert the following Binary number to Base 8 4. 1111 1001 0110 0001 1001 0101 1101 1010 1110 0010 0101 Convert the following Base 8 number to binary 5. 200076524, Convert the following Base 8 number to Base 16 6. 1177662231
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