Intro to Programing How to Convert Number Systems - Edubirdie

University:
College
Course:
College Computer Science
Academic year:

2023
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440

Pages:

2
Author:

Hien T.

How to convert number systems: нех decimal 1. Understand hexadecimal place values: Binary Hex Decimal 0 0001 1 1 0010 2 2 0011 3 3 0100 4 4 0101 5 5 0110 6 6 0111 7 7 1000 8 8 1001 9 9 1010 A 10 1011 B 15 1100 C 12 1101 D 13 1110 E 14 1111 F 15 2. convert hexadecimal digits to decimal Hex 37 = 37 decimal DUM 3. calculate the decimal value, multiply each digit by its corresponding place value with the base of 16, from right to left, 0-2.. 37 decimal = (7X16^0)+(3X16^1) = 55 ? Decimal hex 1. Divide decimal by 16, record the quotient + the remainder Decimal 3030/16= 1 remainder 14 the 1 is 1 in hexadecimal 2. convert the remainder to hexidecimal 14- E 3. continue to divide by 16 until the quotient reaches o ad the hexdecimal 1E How to convert number systems. Binary octal 1 Group the binary digits into groups of three 011100011100 2. convert each group to decimal, from right to left assign each digit 2 to the Power of ot02 011(0X2^2)+(1X2^1)+(1X2^0) = 3 100 (1X2^2)+(0X2^1)+(OX2^0) = 4 3. combine the octal digits (don't add) 3 and 4 = 34 Octals octal binary 1. convert the octal to a decimal, from right to left assign each digit 8 to the power of 0 to Octal 65 (6X8^1)+(5X8^0) = 48+5 = 53 2. convert the decimal into binary 110101 G ESC Binary decimal 1. Each binary digit has a value, the largest value that can be represented by 6 binary digits is 63, 8 binary digits = 256 11011032+16+4+2=54 same method for decimal → binary

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