Question

Convert 139₁₀ to binary and hexadecimal.

also what is -48 mod 13

Answer 1

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.

139    /  2  result 69 remainder  1
69 /  2  result 34 remainder  1
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.

( 139 )10 = ( 10001011 )2

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Write down the decimal number and continually divide by 2 to give a result and a remainder.

139 / 16   result 8 remainder 11 (B in hex)
8 / 16     result 0 remainder 8 (8 in hex)

Read the remainders from bottom to top.

( 139 )10 = ( 8B )16


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-48 % 13 = 4