Question

Given the following 41 and 34 provide the following: (Show all work)

A. 8-bit binary representation of each number

B. Add both number

C. Provide the result in 8 bits

Answer 1

41 in binary:
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Write down the decimal number and continually divide by 2 to give a result and a remainder. The remainder is either a 1 or a 0.
41 /  2  result 20 remainder  1
20 /  2  result 10 remainder  0
10 /  2  result 5  remainder  0
5  /  2  result 2  remainder  1
2  /  2  result 1  remainder  0
1  /  2  result 0  remainder  1
Read the remainders from bottom to top.
( 41 )10 = ( 101001 )2
( 41 )10 in 8-bit ( 00101001 )2


34 in binary:
---------------
Write down the decimal number and continually divide by 2 to give a result and a remainder. The remainder is either a 1 or a 0.
34 /  2  result 17 remainder  0
17 /  2  result 8  remainder  1
8  /  2  result 4  remainder  0
4  /  2  result 2  remainder  0
2  /  2  result 1  remainder  0
1  /  2  result 0  remainder  1
Read the remainders from bottom to top.
( 34 )10 = ( 100010 )2
( 34 )10 in 8-bit ( 00100010 )2


Addition:
==============
00101001
00100010
-----------
01001011
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Result = 01001011