To convert the number 234 from base 6 to base 7, we need to follow a two-step process. First, we convert the base 6 number to a base 10 (decimal) number, and then we convert the resulting base 10 number to a base 7 number.### Step 1: Convert from Base 6 to Base 10We begin by calculating the decimal equivalent of 234 (base 6). The base 6 number system uses digits 0-5, and each digit represents a power of 6. Working from right to left, the positional values for 234 (base 6) are interpreted as follows:- \(2 \times 6^2\)- \(3 \times 6^1\)- \(4 \times 6^0\)Next, we compute the above expressions:- \(2 \times 6^2 = 2 \times 36 = 72\)- \(3 \times 6^1 = 3 \times 6 = 18\)- \(4 \times 6^0 = 4 \times 1 = 4\)Summing these values gives us the decimal equivalent:\[ 72 + 18 + 4 = 94 \]So, 234 (base 6) is equal to 94 (base 10).### Step 2: Convert from Base 10 to Base 7Now, we need to convert the decimal number 94 to base 7. We do this by dividing the number by 7 and keeping track of the remainders.1. \(94 \div 7 = 13\) (quotient), with a remainder of \(3\)2. \(13 \div 7 = 1\) (quotient), with a remainder of \(6\)3. \(1 \div 7 = 0\) (quotient), with a remainder of \(1\)Reading the remainders from bottom to top, we get the base 7 number: \(163_{7}\).### Final AnswerThus, \(234_{6} = 163_{7}\).

Answered: 234 (base 6) = (base 7)

Engineering

Computer Science

234 (base 6) = (base 7)

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: Sort the following list using the bubble sort algorithm. Show the list after each iteration of the…

A: Program is in python 1. Making a function bubblesort and passing array in the function . 2. using…

Q: LO: (Analyze) Students will fix a loop that runs forever. main.cpp O New #include 2 using namespace…

A: Note: - As per the guidelines we can only answer one specific question at a time. Since you have not…

Q: (Median) The median of a list of numbers is easy to find if the list is sorted. In particular, if it…

A: Answer :

Q: Euler's totient function, also known as phi-function ϕ(n), counts the number of integers between 1…

A: 1. Start the function euler_totient(n) with the input parameter n.2. Initialize the variable…

Q: 154 (base 10) = = (base 6) (use division method)

A: In step 2, I have provided ANSWER with brief explanation------------------

Q: Write a program to find the dot product of the given vectors.

A: Summary: In this question, we have to write a program in C++, and in that program, we have to take…

Q: O (B2D) 16 = (?)10

A: Procedure: Get the decimal equivalent of hex from table. Multiply every digit with 16 power of…

Q: 3-5. Summation: Given nums resw 5, complete the code below to compute for the sum of 5 numbers…

A: Find the required answer with explanation given as below :

Q: Compute the weights of the following n-tuples.

A: This is very simple. To calculate the weights of the following n-tuples we need the following two…

Q: (Java)Music playlist: - Create an array that can hold at least 50-100 songs. - There is 3…

A: Java is one of the languages, which is considerably used in many sectors of Computer. In older…

Q: make each entires in python code b) A is reversely sorted and contains random integers (0 to 100…

A: # A is reversely sorted and contains random integers (0 to 100 inclusive)# this will generate n…

Question

To convert the number 234 from base 6 to base 7, we need to follow a two-step process. First, we convert the base 6 number to a base 10 (decimal) number, and then we convert the resulting base 10 number to a base 7 number.

### Step 1: Convert from Base 6 to Base 10

We begin by calculating the decimal equivalent of 234 (base 6).

The base 6 number system uses digits 0-5, and each digit represents a power of 6. Working from right to left, the positional values for 234 (base 6) are interpreted as follows:

- \(2 \times 6^2\)
- \(3 \times 6^1\)
- \(4 \times 6^0\)

Next, we compute the above expressions:

- \(2 \times 6^2 = 2 \times 36 = 72\)
- \(3 \times 6^1 = 3 \times 6 = 18\)
- \(4 \times 6^0 = 4 \times 1 = 4\)

Summing these values gives us the decimal equivalent:

\[ 72 + 18 + 4 = 94 \]

So, 234 (base 6) is equal to 94 (base 10).

### Step 2: Convert from Base 10 to Base 7

Now, we need to convert the decimal number 94 to base 7. We do this by dividing the number by 7 and keeping track of the remainders.

1. \(94 \div 7 = 13\) (quotient), with a remainder of \(3\)
2. \(13 \div 7 = 1\) (quotient), with a remainder of \(6\)
3. \(1 \div 7 = 0\) (quotient), with a remainder of \(1\)

Reading the remainders from bottom to top, we get the base 7 number: \(163_{7}\).

### Final Answer
Thus, \(234_{6} = 163_{7}\).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

) The probability of event A occurring is 5/10. The probability of event B occurring is 5/10. What is the Entropy of this system?
Write indirect sum abd vector sum separately function for int64_t sum(int64_t N, uint64_t A[]) using c plus plus.
4.3-4a. IPv4/IPv6 co-existence: tunneling (a). Consider the mixed IPv4/IPv6 network shown b where an IPv4 tunnel exists between IPv6 routers B and E. Suppose that IPv6 router A sends a datagram to IPv6 router F. IPv6 datagrams are shown in blue; the IPv4 datagram is in red (cont. the encapsulated IPv6 datagram in blue). A IPv6 (a) B IPv6/v4 IPv4 (b) At point (a), the IP version field in the datagram is: At point (a), the source IP address is that of host: D IPv4 Perform the matching below to indicate the datagram field value and type at point (a). At point (a), the destination IP address is that of host: At point (a), the number of bits in the destination IP address is: E IPv6/v4 IPv6 (c) [Choose ] [Choose ] [Choose ] [Choose ]
Exercise 2. (Pascal's Triangle) Pascal's triangle Pn is a triangular array with n+1 rows, each listing the coefficients of the binomial expansion (x+ y)', where 0 _ "/workspace/project3 рython3 pавса1.ру 10 1 1 1 1 2 1 1 33 1 1 4 6 4 1 1 5 10 10 5 1 16 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 1 9 36 84 126 126 84 36 9 1 1 10 45 120 210 252 210 120 45 10 1 В равса1.ру import stdarray import stdio іпрort вys # Accept n (int) as command -line argument. ... # Setup a 2D ragged list a of integers. The list must have n + 1 rovs, vith the ith (0 <= i # <= n) row a[i] having i + 1 elements , each initialized to 1. For example, if n = 3, a should be # initialized to [[1], [1, 1], [1, 1, 1], [1, 1, 1, 1]]. a =... for i in range (...): ... # Fill the ragged list a using the formula for Pascal's triangle 1] [j - 1) + a[i - 1] [j] a [i][j] = a[i - 1] [j - 1] + a[i - 1] [j] #3 # vhere o <- i <- n and 1 <= j < i. for i in range (...): for j in range (...): ... # Write a to standard…
Develop an algorithm and write a C++ program that counts the letter occurrence in the string; make sure you use call by reference to the array of a class with letter and count as private member attributes when return from parse function. For the class member methods, provide the public accessor and modifier as well as print functions for the private member attributes. Write a test program that reads a C-string and displays the number of letters [a-z] and number of numbers [0-9] in the string. In addition to that, you need to output the histogram of the letter and count array. Here is a sample run of the program: <Output> Enter a string: 2023 is coming The number of letters in 2023 is coming is 8 The number of numbers in 2023 is coming is 4 ---- Histogram ---- Char Count 0 1 2 2 3 1 c 1 g 1 i 2 m 1 n 1 /* not a completed output */ <End Output>
165 (base 10) = (base 7) (use Subtraction method)
54 (base 7) = ________________ (base 4) (use division method)
Exercise 1: (Design of algorithm to find greatest common divisor) In mathematics, the greatest common divisor (gcd) of two or more integers is the largest positive integer that divides each of the integers. For example, the gcd of 8 and 12 is 4. Why? Divisors of 8 are 1, 2, 4, 8. Divisors of 12 are 1, 2, 4, 6, 12 Thus, the common divisors of 8 and 12 are 1, 2, 4. Out of these common divisors, the greatest one is 4. Therefore, the greatest common divisor (gcd) of 8 and 12 is 4. Write a programming code for a function FindGCD(m,n) that find the greatest common divisor. You can use any language of Java/C++/Python/Octave. Find GCD Algorithm: Step 1 Make an array to store common divisors of two integers m, n. Step 2 Check all the integers from 1 to minimun(m,n) whether they divide both m, n. If yes, add it to the array. Step 3 Return the maximum number in the array.
MULTIPLE FUNCTIONS AND RECURSIVE FUNCTIONS HANDS-ON use #include<stdio.h>
(4) {w € [0, 1]* : w does not have 001 as a substring} Testing strings: €, 0, 1, 01, 000, 001, 0001, 0010, 0101, 11000, 110010 The accepted strings are: L U E O 01 000 001 0001 ☐ 0010 0101 11000 110010
(True/False): A segment descriptor contains the base location of a segment.
Segmentation: Select all of the following statements that are true. In segmentation, a logical address always has a length of 32 bit. In order to translate logical into physical addresses, the memory management unit uses the segment part of the logical address to determine the start address in the segment table and adds the offset to this to get the physical address. In segmentation, the logical address consists of a segment part and an offset. The segment length is limited by the maximum possible segment number. When applying segmentation, processes are only allowed to access the memory within their segments. Segments can be assigned access rights and privilege levels.