1- what is the binary expansion of 351? 2- what is the octal expansion of 3598? 3- what is the decimal expansion of the number with hexadecimal expansion (2AE0B)16? 4- Let consider two (02) numbers a and b with the binary expansion a= 10111011 and b= 1111001 what is the binary expansion of a+b?

Q: 13. How many ways are there to rearrange the letters in the word "rearrange"? Answer this question…

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Q: 5. Evaluate : 23391 mod 55 (use modular exponentiation)

A: We Know that Modular exponentiation is a type of exponentiation performed over a modulus.

Q: The binary representation of the decimal numbers (23.375)10 (?. ?)2 is: Select one: 011001.011…

A: The number can be written as 23.375=23+0.375

Q: 1. Homework. Use the Arithmetic Modular operations to find 55552222 mod 7. Hint: 5555 = 4 (mod 7).

A: Details are attached in step 2.

Q: (a) 12. Determine the base-six representation for each of the follow- ing numbers which are in base…

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Q: How many bits does the binary expansion 10500 have?

A: It is known that the formula for the number of bits in a number is given by,

Q: Arithmetic Operations 1. Binary Example 15 101101, + 11111, =

A: Example 15: To add the given binary numbers: 1011012+111112

Q: Q15. What is the first (rightmost) digit in the base 9 expansion of the base 10 number39?

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Q: IS 971 a prime! Why? How about 5183?

A: To determine whether 977 ia a prime number.Also to check whether 5183 ia a prime number.

Q: notat: (a) 41five + 14ive (b) 213five + 432five Carry out tl

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Q: 1. Multiplication and Long Division Base X. (a) Let a = 652 and b = 354 base 7 %3D • Calculate 652…

A: Calculate the multiplication in base 7:  652×354360145530261600344331

Q: # 14 please ASAP

A: We need to evaluate 77 (mod 4).By the Fermat’s Little Theorem,

Q: 7 relatively prime uct and quotient of a

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Q: reduce to fraction Simptry to 0.82= Towest terms 0.60 2

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Q: The binary expansion of the decimal number 213 is two Show your work or explain your answer.

A: Solution: Step 1 Divide 213 by 2 until the quotient become zero. Step2  Write remainder from bottom…

Q: A triangle has sides with lenaths that are consecutive odd integers. The perimeter of the triangle…

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Q: Determine the length of the period for the decimal expansion of 8881 Note that 8881 83 107. =

A: The given number is 18881. The least common multiple is obtained by prime factorization. Prime…

Q: 1 Using modular arithmetic, find: a. the last digit of 1234567654321720204 b. the last two digits of…

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Q: The integer with the 8-bit representation 10111010 has decimal representation -7110. Select one:…

A: Given :- 10111010 has decimal representation -7110

Q: Secton 5.1 Excerciser # 4

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Q: 3. Convert the decimal expansion of (231)10 to a binary expansion a) (1100111), b) (1110011)2 c)…

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Q: 6. Perform the following computation in base 6: (243)6 + (105)6

A: Consider the given computation as 2436+1056. Since the addition of two number has base 6, take the…

Q: 7. Find the last two digits in the decimal expansion of 8923. (a) 43 (b) 12 (c) 16 (d) None of these

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Q: Find X in base 6= {(40.5)base 8 + (32)base 10} / (A)base16

A: This is a problem of counting, finite math.

Q: If in the expansion of (1 + n}+", the 5th term is 24 times the 3rd term, fnd the value of n.

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Q: QUESTION 5 a. Convert the decimal number 1038.3 to octal. (Truncate to 3 digits after the point if…

A: as per our guidelines we are supposed to solve one question if multiple question is asked.

Q: a) What is the binary representation of the integer 756? Explain your work. b) What is the octal…

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Q: Compute the prime factorization of: gcd(1200725694, 7260624) 12007256942.36.77 7260624 24 33.75 T…

A: Given: gcd(1200725694, 7260624)

Q: What is the first (rightmost) digit in the base 7 expansion of the base 10 number74?

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Q: Convert (11000 0110 0011₂ from its binary expansion to hexadecimal expansion.

A: In this question, the concept of the Number System is applied. Number System A number system is a…