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Binary numbers Humans use the ten digits 0 through 9 to form base-10 or decimal numbers, whereas computers calculate and store numbers internally as binary numbers—numbers consisting entirely of 0’s and 1’s. For this exercise, we consider binary numbers that have the form 0. b1b2b3… where each of the digits b1, b2, b3, ... is either 0 or 1. The base-10 representation of the binary number 0. b1b2b3… is the infinite series
88. Verify that the base-10 representation of the binary number 0.010101... (which can also be written as 0.
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Chapter 10 Solutions
Calculus: Early Transcendentals (3rd Edition)
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- The binary form of the decimal 37 is (1 0010 1)2 (11010 0)2 (1 0 110 1)2 (1 0000 1)2arrow_forwardQUESTION 11 Convert the following binary numbers to a decimal number. (You just need to type the final answer.) a. 1100011.001l2- 10 b. 10111011.01012= -10arrow_forwardRefer to the given cryptarithm below. Each letter in the cryptarithm represents one of the digits 0 through 9. The leading digits, represented by S and M, are not zero. Determine which digit is represented by each of the letters so that the addition is correct. A letter that is used more than once, such as M, represents the same digit in each position in which it appears. (a) What digit is represented by the letter "M"? 0, 1, 2, 3 (b) What digit is represented by the letter "E"? 3, 4, 5, 6 (c) What is the number represented by the word "SEND"? 9567, 9345, 9678, 9456 (d) What is the number represented by the word "MONEY"? 10256, 10562, 10652, 10625arrow_forward
- Binary numbers are made up of 1s and Os. What is the base 10 number for the binary number 1000? A 2 B 8 C 64 D 100arrow_forwardConvert integers 205 and 12 to binary representations and find their product using the binary representations.arrow_forwardConvert these binary numbers into decimal numbers using the table below pleasearrow_forward
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