Subject - Computer Science
1. Converts number system-
a. (111001100111)2
=(............... . ....)16
Answers
Answer:
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Answer:
Binary unsigned number (base 2), 101 0011(2) = 83(10), unsigned positive integer in base 10
Explanation:
How to convert an unsigned binary number (base two) to a positive integer in base ten:
1) Multiply each bit of the binary number by its corresponding power of 2 that its place value represents.
2) Add all the terms up to get the integer number in base ten.
Latest unsigned binary numbers converted to positive integers in decimal system (base ten)
1000 1110 0110 0111 1000 1011 1001 0011 0011 1001 1010 1001 1001 0011 0110 1001 = 10,261,323,740,430,832,489
Mar 04 10:52 UTC (GMT)
101 1001 = 89
Mar 04 10:52 UTC (GMT)
1011 0001 0111 0110 0011 = 726,883
Mar 04 10:48 UTC (GMT)
101 0111 0001 = 1,393
Mar 04 10:46 UTC (GMT)
101 1010 1100 1100 1100 1100 = 5,950,668
Mar 04 10:44 UTC (GMT)
1101 1101 = 221
Mar 04 10:43 UTC (GMT)
1 1100 1110 = 462
Mar 04 10:41 UTC (GMT)
1001 1001 0100 0000 0000 0000 0000 0011 = 2,571,108,355
Mar 04 10:40 UTC (GMT)
1000 0011 = 131
Mar 04 10:37 UTC (GMT)
101 1011 = 91
Mar 04 10:35 UTC (GMT)
1 0100 1110 = 334
Mar 04 10:32 UTC (GMT)
1000 0000 0011 1111 = 32,831
Mar 04 10:31 UTC (GMT)
1 1001 = 25
Mar 04 10:24 UTC (GMT)
All the converted unsigned binary numbers, from base two to base ten
How to convert unsigned binary numbers from binary system to decimal? Simply convert from base two to base ten.
To understand how to convert a number from base two to base ten, the easiest way is to do it through an example - convert the number from base two, 101 0011(2), to base ten:
Write bellow the binary number in base two, and above each bit that makes up the binary number write the corresponding power of 2 (numeral base) that its place value represents, starting with zero, from the right of the number (rightmost bit), walking to the left of the number, increasing each corresponding power of 2 by exactly one unit each time we move to the left:
powers of 2: 6 5 4 3 2 1 0
digits: 1 0 1 0 0 1 1
Build the representation of the positive number in base 10, by taking each digit of the binary number, multiplying it by the corresponding power of 2 and then adding all the terms up:
101 0011(2) =
(1 × 26 + 0 × 25 + 1 × 24 + 0 × 23 + 0 × 22 + 1 × 21 + 1 × 20)(10) =
(64 + 0 + 16 + 0 + 0 + 2 + 1)(10) =
(64 + 16 + 2 + 1)(10) =
83(10)