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Answers
Answer:
1 (240)10 = (11110000)2
Step by step solution
Step 1: Divide (240)10 successively by 2 until the quotient is 0:
240/2 = 120, remainder is 0
120/2 = 60, remainder is 0
60/2 = 30, remainder is 0
30/2 = 15, remainder is 0
15/2 = 7, remainder is 1
7/2 = 3, remainder is 1
3/2 = 1, remainder is 1
1/2 = 0, remainder is 1
Step 2: Read from the bottom (MSB) to top (LSB) as 11110000.
So, 11110000 is the binary equivalent of decimal number 240 (Answer).
2 Step 1: Divide (246)10 successively by 8 until the quotient is 0:
246/8 = 30, remainder is 6
30/8 = 3, remainder is 6
3/8 = 0, remainder is 3
Step 2: Read from the bottom (MSB) to top (LSB) as 366.
So, 366 is the octal equivalent to the decimal number 246 (Answer).
4 Decimal base 25
hex base 19
5 Hexadecimal System
Hexadecimal is the name of the numbering system that is base 16. This system, therefore, has numerals 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15. That means that two-digit decimal numbers 10, 11, 12, 13, 14, and 15 must be represented by a single numeral to exist in this numbering system. To address the two-digit decimal values, the alphabetic characters A, B, C, D, E, and F are used to represent these values in hexadecimal and are treated as valid numerals. Row 1 is, again, the decimal (base 10) equivalent value.
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Answer:
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