Question

Define Number system and solve Conversions given below

1. 89ABCDEF Hexadecimal to Binary

2. 345 octal to decimal

3. 00000001001000110100010101100111 octal to HEXADECIMAL

4. 11100101 binary to hexadecimal

5. 725 decimal to hexadecimal

6. 00010011 + 00111110 binary addition
​

Answer 1

Given : 89ABCDEF Hexadecimal

To Find :  Convert to binary

Solution:

89ABCDEF₁₆  = ( 1000 1001 1010 1011 1100 1101 1110 1111 )₂

89ABCDEF₁₆  = 8 * 16⁷ + 9*16⁶ + 10*16⁵ + 11*16⁴ + 12*16³ + 13*16² + 14*16¹ + 15*16⁰ = 2,30,97,37,967₁₀

2,30,97,37,967₁₀ = ( 1000 1001 1010 1011 1100 1101 1110 1111 )₂

using Division

345 octal to decimal

= 3 * 8² + 4 * 8¹ + 5 * 8⁰

= 192 + 32 + 5

= 229₁₀

345₈ = 229₁₀

             

                725

                 45    5              

                  2     13   13 is D

725₁₀  = 2D5₁₆

11100101₂  = E5₁₆

00010011 + 00111110  = 0101 0001

Learn More:

convert 97.188(10) to binary​ - Brainly.in

brainly.in/question/10878945

1.Convert the following decimal number into binary number of ...

brainly.in/question/11130869

(11011)^2 =(______)^10 then number in the blank space is

brainly.in/question/11048735