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)

234 (base 6) = (base 7)

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

Similar questions

Q1: Write c++ program , to find the summation of odd numbers in 2d -array. Q2: Write c++ program , to find the summation of even numbers in 2d -array.
Compute the SUM of 2 numbers ADDER: can only add 1 at the time
Perform the addition. 11,0112+11,0112
choose the correct answer.
Q8/ Sum of series of 10 numbers and store result in memory location (total) and also sum the number of carry if found and save it at memory location [carry].
Q2. (a) Convert the following numbers from one base to another. 1. (111.1011011), = (?)s (2) ii. (512.5625)10 = (?)2 (2) ii. (153.47), = (?)1. (2)
Qn 1: Write a C++ program to multiply 2 matrices using multi-dimensional arrays. Program should ask the user to input the values of both matrices(arrays). Example: Input Input first matrix 2 4 1 2 3 9 Input second matrix 1 2 3 3 6 1 2 9 7 Output Product of the 2 matrices is 16 37 17 29 103 72
( The minimum Carry save Adders using to add 15 numbers are O None of them O 14 CSA O 15 CSA O 13 CSA O 12 CSA